Nucleon Axial Charge In 2 1 Flavor Dynamical Lattice Qcd With Domain Wall Fermions

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Nucleon Axial Charge in 2+1 Flavor Dynamical Lattice QCD with Domain Wall Fermions

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ISBN 13 :
Total Pages : 171602 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Nucleon Axial Charge in 2+1 Flavor Dynamical Lattice QCD with Domain Wall Fermions by :

Download or read book Nucleon Axial Charge in 2+1 Flavor Dynamical Lattice QCD with Domain Wall Fermions written by and published by . This book was released on 2008 with total page 171602 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present results for the nucleon axial charge g_A at a fixed lattice spacing of 1/a=1.73(3) GeV using 2+1 flavors of domain wall fermions on size 16^3x32 and 24^3x64 lattices (L=1.8 and 2.7 fm) with length 16 in the fifth dimension. The total length of the Monte Carlo trajectory at the lightest quark mass is 7360 units, including 900 for thermalization. We find finite volume effects are larger than the pion mass dependence at the smallest value of m_\pi (= 330 MeV) in our calculation. We also find that g_A exhibits a scaling with the single variable m_\pi L which can also be seen in previous two-flavor domain wall and Wilson fermion calculations. Using this scaling to eliminate the finite-volume effect, we obtain g_A = 1.20(6)(4) at the physical pion mass, m_\pi = 135 MeV, where the first and second errors are statistical and systematic. The observed finite-volume effects also appear in similar quenched simulations, but disappear when V>(2.4$ fm)^3. We argue this is a dynamical quark.

NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS.

Author : S. OHTA
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS. by : S. OHTA

Download or read book NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS. written by S. OHTA and published by . This book was released on 2006 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with 220 gauge configurations each. The lattice cutoff is a{sup -1} {approx} 1.7GeV and the spatial volume is about (1.9fm){sup 3}. Despite the small volume, the ratio of the isovector vector and axial charges g{sub A}/g{sub V} and that of structure function moments x{sub u-d}/x{sub {Delta}u-{Delta}d} are in agreement with experiment, and show only very mild quark mass dependence. The second, RBC/UK, set of ensembles employs one strange and two degenerate (up and down) dynamical DWF quarks and Iwasaki gauge action. The strange quark mass is set at 0.04, and three up/down mass values of 0.03, 0.02 and 0.01 in lattice units are used. The lattice cutoff is a{sup -1} {approx} 1.6GeV and the spatial volume is about (3.0fm){sup 3}. Even with preliminary statistics of 25-30 gauge configurations, the ratios g{sub A}/g{sub V} and x{sub u-d}/x{sub {Delta}u-{Delta}d} are consistent with experiment and show only very mild quark mass dependence. Another structure function moment, d{sub 1}, though yet to be renormalized, appears small in both sets.

Nucleon Structure in Lattice QCD with Dynamical Domain-wall Fermions Quarks

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (871 download)

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Book Synopsis Nucleon Structure in Lattice QCD with Dynamical Domain-wall Fermions Quarks by :

Download or read book Nucleon Structure in Lattice QCD with Dynamical Domain-wall Fermions Quarks written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with about 200 gauge configurations each. The lattice cutoff is about 1.7 GeV and the spatial volume is about (1.9 fm)3. Despite the small volume, the ratio of the isovector vector and axial charges g{sub A}/g{sub V} and that of structure function moments x{sub u-d}/x{sub [Delta] u - [Delta] d} are in agreement with experiment, and show only very mild quark mass dependence. The second, RBC/UK, set of ensembles employs one strange and two degenerate (up and down) dynamical DWF quarks and Iwasaki gauge action. The strange quark mass is set at 0.04, and three up/down mass values of 0.03, 0.02 and 0.01 in lattice units are used. The lattice cutoff is about 1.6 GeV and the spatial volume is about (3.0 fm)3. Even with preliminary statistics of 25-30 gauge configurations, the ratios g{sub A}/g{sub V} and x{sub u-d}/x{sub {Delta} u - {Delta} d} are consistent with experiment and show only very mild quark mass dependence. Another structure function moment, d1, though yet to be renormalized, appears small in both sets.

Nucleon Structure from Dynamical Lattice QCD.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Nucleon Structure from Dynamical Lattice QCD. by :

Download or read book Nucleon Structure from Dynamical Lattice QCD. written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present lattice QCD numerical calculations of hadronic structure functions and form factors from full-QCD lattices, with a chirally symmetric fermion action, domain-wall fermions, for the sea and valence quarks. The lattice spacing is about 0.12 fm with physical volume approximately (2 fm)3 for RBC 2-flavor ensembles and (3 fm)3 for RBC/UKQCD 2+1-flavor dynamical ones. The lightest sea quark mass is about 1/2 the strange quark mass for the former ensembles and 1/4 for the latter ones. Our calculations include: isovector vector- and axial-charge form factors and the first few moments of the polarized and unpolarized structure functions of the nucleon. Nonperturbative renormalization in RI/MOM scheme is applied.

Nucleon Structure with Two Flavors of Dynamical Domain-wall Fermions

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ISBN 13 :
Total Pages : 14505 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Nucleon Structure with Two Flavors of Dynamical Domain-wall Fermions by :

Download or read book Nucleon Structure with Two Flavors of Dynamical Domain-wall Fermions written by and published by . This book was released on 2008 with total page 14505 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a numerical lattice quantum chromodynamics calculation of isovector form factors and the first few moments of the isovector structure functions of the nucleon. The calculation employs two degenerate dynamical flavors of domain-wall fermions, resulting in good control of chiral symmetry breaking. Non-perturbative renormalization of the relevant quark currents is performed where necessary. The inverse lattice spacing, $a^{-1}$, is about 1.7 GeV. We use degenerate up and down dynamical quark masses around 1, 3/4 and 1/2 the strange quark mass. The physical volume of the lattice is about $(1.9{fm})^3$. The ratio of the isovector vector to axial charges, $g_A/g_V$, trends a bit lower than the experimental value as the quark mass is reduced toward the physical point. We calculate the momentum-transfer dependences of the isovector vector, axial, induced tensor and induced pseudoscalar form factors. The Goldberger-Treiman relation holds at low momentum transfer and yields a pion-nuc.

Encyclopedia of Parallel Computing

Author : David Padua
Publisher : Springer Science & Business Media
ISBN 13 : 038709766X
Total Pages : 2211 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Encyclopedia of Parallel Computing by : David Padua

Download or read book Encyclopedia of Parallel Computing written by David Padua and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 2211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing over 300 entries in an A-Z format, the Encyclopedia of Parallel Computing provides easy, intuitive access to relevant information for professionals and researchers seeking access to any aspect within the broad field of parallel computing. Topics for this comprehensive reference were selected, written, and peer-reviewed by an international pool of distinguished researchers in the field. The Encyclopedia is broad in scope, covering machine organization, programming languages, algorithms, and applications. Within each area, concepts, designs, and specific implementations are presented. The highly-structured essays in this work comprise synonyms, a definition and discussion of the topic, bibliographies, and links to related literature. Extensive cross-references to other entries within the Encyclopedia support efficient, user-friendly searchers for immediate access to useful information. Key concepts presented in the Encyclopedia of Parallel Computing include; laws and metrics; specific numerical and non-numerical algorithms; asynchronous algorithms; libraries of subroutines; benchmark suites; applications; sequential consistency and cache coherency; machine classes such as clusters, shared-memory multiprocessors, special-purpose machines and dataflow machines; specific machines such as Cray supercomputers, IBM’s cell processor and Intel’s multicore machines; race detection and auto parallelization; parallel programming languages, synchronization primitives, collective operations, message passing libraries, checkpointing, and operating systems. Topics covered: Speedup, Efficiency, Isoefficiency, Redundancy, Amdahls law, Computer Architecture Concepts, Parallel Machine Designs, Benmarks, Parallel Programming concepts & design, Algorithms, Parallel applications. This authoritative reference will be published in two formats: print and online. The online edition features hyperlinks to cross-references and to additional significant research. Related Subjects: supercomputing, high-performance computing, distributed computing

Nucleon Structure and Hyperon Form Factors from Lattice QCD.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Nucleon Structure and Hyperon Form Factors from Lattice QCD. by :

Download or read book Nucleon Structure and Hyperon Form Factors from Lattice QCD. written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, I report the latest lattice QCD calculations of nucleon and hyperon structure from chiral fermions in 2+1-flavor dynamical simulations. All calculations are done with a chirally symmetric fermion action, domain-wall fermions, for valence quarks. I begin with the latest lattice results on the nucleon structure, focusing on results from RBC/UKQCD using 2+1-flavor chiral fermion actions. We find the chiral-extrapolated axial coupling constant at physical pion mass point to be 1.23(5), consistant with experimental value. The renormalization constants for the structure functions are obtained from RI/MOM-scheme non-perturbative renormalization. We find first moments of the polarized and unpolarized nucleon structure functions at zero transfer momentum to be 0.133(13) and 0.203(23) respectively, using continuum chiral extrapolation. These are consistent with the experimental values, unlike previous calculations which have been 50% larger. We also have a prediction for the transversity, which we find to be 0.56(4). The twist-3 matrix element is consistent with zero which agrees with the prediction of the Wandzura-Wilczek relation. In the second half of this work, I report an indirect dynamical estimation of the strangeness proton magnetic moments using mixed actions. With the analysis of hyperon form factors and using charge symmetry, the strangeness of proton is found to be -0.066(26), consistent with the Adelaide-JLab Collaboration's result. The hyperon Sigma and Xi axial coupling constants are also performed for the first time in a lattice calculation, g_SigmaSigma = 0.441(14) and g_XiXi = -0.277(11).

The Nucleon Axial Charge in Full Lattice QCD.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis The Nucleon Axial Charge in Full Lattice QCD. by :

Download or read book The Nucleon Axial Charge in Full Lattice QCD. written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The nucleon axial charge is calculated as a function of the pion mass in full QCD. Using domain wall valence quarks and improved staggered sea quarks, we present the first calculation with pion masses as light as 354 MeV and volumes as large as (3.5 fm)3. We show that finite volume effects are small for our volumes and that a constrained fit based on finite volume chiral perturbation theory agrees with experiment within 5% statistical errors.

Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (851 download)

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Book Synopsis Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD by :

Download or read book Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD written by and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physical Results from 2+1 Flavor Domain Wall QCD.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Physical Results from 2+1 Flavor Domain Wall QCD. by :

Download or read book Physical Results from 2+1 Flavor Domain Wall QCD. written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We review recent results for the chiral behavior of meson masses and decay constants and the determination of the light quark masses by the RBC and UKQCD collaborations. We find that one-loop SU(2) chiral perturbation theory represents the behavior of our lattice data better than one-loop SU(3) chiral perturbation theory in both the pion and kaon sectors. The simulations have been performed using the Iwasaki gauge action at two different lattice spacings with the physical spatial volume held approximately fixed at (2.7fm)3. The Domain Wall fermion formulation was used for the 2+1 dynamical quark flavors: two (mass degenerate) light flavors with masses as light as roughly 1/5 the mass of the physical strange quark mass and one heavier quark flavor at approximately the value of the physical strange quark mass, On the ensembles generated with the coarser lattice spacing, we obtain for the physical average up- and down-quark and strange quark masses m{sub ud}{sup {ovr MS}} (2 GeV) = 3.72(0.16){sub stat}(0.33){sub ren}(0.18){sub syst}MeV and m{sub s}{sup {ovr MS}} (2 GeV) = 107.3(4.4){sub stat}(9.7){sub ren}(4.9){sub syst} MeV, respectively, while they find for the pion and kaon decay constants f{sub {pi}} = 124.1(3.6){sub stat}(6.9){sub syst}MeV, f{sub K} = 149.6(3.6){sub stat}(6.3){sub syst} MeV. The analysis for the finer lattice spacing has not been fully completed yet, but we already present some first (preliminary) results.

Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD

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ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (851 download)

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Book Synopsis Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD by :

Download or read book Nucleon Axial Charge and Pion Decay Constant from Two-flavor Lattice QCD written by and published by . This book was released on 2013 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions by :

Download or read book Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Excited states for isospin $\frac{1}{2}$ baryons are calculated using lattice QCD with two flavors of dynamical quarks. Anisotropic lattices are used with two pion masses, $m_{\pi} = 416(36)$~MeV and $578(29)$~MeV. A large number of baryon operators is developed. They are pruned to sets of 16 and a variational analysis is carried out for $16\times 16$ matrices of correlation functions. The lowest four energies are reported in each of the six irreducible representations of the octahedral group at each pion mass. The lattices used have dimensions $24^3\times 64$, spatial lattice spacing $a_s \approx 0.11$~fm and temporal lattice spacing $a_t = \frac{1}{3} a_s$. Clear evidence is found for a $\frac{5}{2}^-$ state in the pattern of negative-parity excited states. This agrees with the pattern of physical states and spin $\frac{5}{2}$ has been realized for the first time on the lattice.

First Results from 2+1-Flavor Domain Wall QCD

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ISBN 13 :
Total Pages : 114501 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis First Results from 2+1-Flavor Domain Wall QCD by :

Download or read book First Results from 2+1-Flavor Domain Wall QCD written by and published by . This book was released on 2007 with total page 114501 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present results for the static interquark potential, light meson and baryon masses, and light pseudoscalar meson decay constants obtained from simulations of domain wall QCD with one dynamical flavour approximating the $s$ quark, and two degenerate dynamical flavours with input bare masses ranging from $m_s$ to $m_s/4$ approximating the $u$ and $d$ quarks. We compare these quantities obtained using the Iwasaki and DBW2 improved gauge actions, and actions with larger rectangle coefficients, on $16^3\times32$ lattices. We seek parameter values at which both the chiral symmetry breaking residual mass due to the finite lattice extent in the fifth dimension and the Monte Carlo time history for topological charge are acceptable for this set of quark masses at lattice spacings above 0.1 fm. We find that the Iwasaki gauge action is best, demonstrating the feasibility of using QCDOC to generate ensembles which are good representations of the QCD path integral on lattices of up to 3 fm in spatial extent with lattice spacings in the range 0.09-0.13 fm. Despite large residual masses and a limited number of sea quark mass values with which to perform chiral extrapolations, our results for light hadronic physics scale and agree with experimental measurements within our statistical uncertainties.

Exploration of Nucleon Structure in Lattice QCD with Chiral Quarks

Author : Sergey Nikolaevich Syritsyn
Publisher :
ISBN 13 :
Total Pages : 195 pages
Book Rating : 4.:/5 (774 download)

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Book Synopsis Exploration of Nucleon Structure in Lattice QCD with Chiral Quarks by : Sergey Nikolaevich Syritsyn

Download or read book Exploration of Nucleon Structure in Lattice QCD with Chiral Quarks written by Sergey Nikolaevich Syritsyn and published by . This book was released on 2010 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we calculate various nucleon structure observables using the fundamental theory of quarks and gluons, QCD, simulated on a lattice. In our simulations, we use the full QCD action including Nf = 2+ 1 dynamical quarks in the SU(2) isospin limit. We compute the nucleon vector and axial vector form factors as well as the generalized form factors, and analyze the nucleon charge, magnetization, and axial radii, anomalous magnetic moment, and axial charge. In addition, we compute quark contributions to the nucleon momentum and spin. Our calculation is novel for three reasons. It is a first full QCD calculation using both sea and valence chiral quarks with pion masses as low as m[pi] = 300 MeV. We develop a method to keep systematic effects in the lattice nucleon matrix elements under control, which helps us to obtain a better signal-to-noise ratio, to achieve higher precision and to test the applicability of low-energy effective theories. Finally, we compare the results from lattice QCD calculations with two different discretization methods and lattice spacings, with the rest of the calculation technique kept equal. The level of agreement between these results indicates that our calculations are not significantly affected by discretization effects.

Domain Wall Fermion Calculation of Nucleon G{sub A}/G{sub V}

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ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (871 download)

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Book Synopsis Domain Wall Fermion Calculation of Nucleon G{sub A}/G{sub V} by :

Download or read book Domain Wall Fermion Calculation of Nucleon G{sub A}/G{sub V} written by and published by . This book was released on 2000 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a preliminary domain-wall fermion lattice-QCD calculation of isovector vector and axial charges, g{sub V} and g{sub A}, of the nucleon. Since the lattice renormalizations, Z{sub V} and Z{sub A}, of the currents are identical with DWF, the lattice ratio (g{sub A}/g{sub V}){sup lattice} directly yields the continuum value. Indeed Z{sub V} determined from the matrix element of the vector current agrees closely with Z{sub A} from a non-perturbative renormalization study of quark bilinears. They also obtain spin related quantities [Delta]q/g{sub V} and [delta]q/g{sub V}.

Lattice QCD at the Physical Point

Author : Thibaut Métivet
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (929 download)

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Book Synopsis Lattice QCD at the Physical Point by : Thibaut Métivet

Download or read book Lattice QCD at the Physical Point written by Thibaut Métivet and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formalism of Quantum Chromodynamics on the lattice (or Lattice QCD) allows to perform ab-initio non-perturbative studies of strong-interaction driven processes, as it provides both a covariant regularisation of the theory of QCD and a natural framework for numerical computations. In this work, after a review of the main features of QCD and a step-by-step presentation of our discretization of QCD on a lattice, we undertake detailed studies of two problems of hadronic physics: the phenomenon of resonant scattering and the structure of the nucleon. The lattice calculations are performed with the Budapest-Marseille-Wuppertal Collaboration's 2+1-flavour gauge configurations, which give access to a wide range of lattice spacings, volumes and quarks masses, thereby allowing to study the sensibility of our results on these parameters, and to perform a complete continuum extrapolation. These configurations include dynamical quarks, and use a clover-improved Wilson QCD action. To investigate the scattering of particles on the lattice, we set up a Lüscher analysis for the emblematic case of pion-pion scattering in the channel of the rho meson resonance. We analyse our data with a variational generalized eigenvalue method, and give an in-depth calculation of the scattering phase-shifts and the corresponding resonance parameters, with a full control of the systematic errors. Our results provide an important step for lattice studies of scattering states, as they are the first to be performed at the physical pion mass, where one can see the actual decay of the rho into two pions. The obtained rho meson parameters are in good agreement with the experimental values, and consistent with a weak pion mass dependence of the coupling between the rho and two pions. As for our probe of the structure of the nucleon, we present a complete extraction of the electroweak isovector form factors, with a comprehensive study of the electric charge squared radius and of the axial charge. Our analysis also feature data at the physical pion mass, which turns out to be crucial in order to perform safe extrapolations to the physical point, as the chiral perturbation theory predicts violent variations of these quantities near the massless-quarks point. Our calculation includes source and sink projections onto the nucleon state, as well as a combined fit method between the two-point and three-point correlation functions to control the contamination of our data by excited states. Although one would need more data to perform a high-accuracy determination of the nucleon radius and axial charge at the physical point with a relevant estimation of the systematic errors, the results we obtain are in good agreement with the experiment and suggest that the excited-state effects are under control. Our analysis also highlights that gauge configurations ensembles near the physical pion mass and with large volumes must be used in order to extract accurate information about the nucleon structure from lattice calculations.

The Finite Temperature QCD Using 2+1 Flavors of Domain Wall Fermions at Nt

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ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (727 download)

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Download or read book The Finite Temperature QCD Using 2+1 Flavors of Domain Wall Fermions at Nt written by and published by . This book was released on 2009 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the region of the QCD phase transition using 2+1 flavors of domain wall fermions (DWF) and a 163 x 8 lattice volume with a fifth dimension of L{sub s} = 32. The disconnected light quark chiral susceptibility, quark number susceptibility and the Polyakov loop suggest a chiral and deconfining crossover transition lying between 155 and 185 MeV for our choice of quark mass and lattice spacing. In this region the lattice scale deduced from the Sommer parameter r0 is a−1 (almost equal to) 1.3 GeV, the pion mass is (almost equal to) 300 MeV and the kaon mass is approximately physical. The peak in the chiral susceptibility implies a pseudo critical temperature T{sub c} = 171(10)(17) MeV where the first error is associated with determining the peak location and the second with our unphysical light quark mass and non-zero lattice spacing. The effects of residual chiral symmetry breaking on the chiral condensate and disconnected chiral susceptibility are studied using several values of the valence L{sub s}.