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Author : Michael I. Buchoff
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (665 download)
Download or read book Topics in Lattice QCD and Effective Field Theory written by Michael I. Buchoff and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Smigielski
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (78 download)
Download or read book Topics in Effective Field Theory as Applied to Lattice QCD written by Brian Smigielski and published by . This book was released on 2010 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : André Walker-Loud
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (856 download)
Download or read book Topics in Effective Field Theory for Lattice QCD written by André Walker-Loud and published by . This book was released on 2006 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Laurent Lellouch
Publisher : OUP Oxford
ISBN 13 : 0191621269
Total Pages : 760 pages
Book Rating : 4.1/5 (916 download)
Download or read book Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing written by Laurent Lellouch and published by OUP Oxford. This book was released on 2011-08-25 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on the lectures delivered at the XCIII Session of the École de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. The emphasis of the book is on the theoretical developments that have shaped the field in the last two decades and that have turned lattice gauge theory into a robust approach to the determination of low energy hadronic quantities and of fundamental parameters of the Standard Model. By way of introduction, the lectures begin by covering lattice theory basics, lattice renormalization and improvement, and the many faces of chirality. A later course introduces QCD at finite temperature and density. A broad view of lattice computation from the basics to recent developments was offered in a corresponding course. Extrapolations to physical quark masses and a framework for the parameterization of the low-energy physics by means of effective coupling constants is covered in a lecture on chiral perturbation theory. Heavy-quark effective theories, an essential tool for performing the relevant lattice calculations, is covered from its basics to recent advances. A number of shorter courses round out the book and broaden its purview. These included recent applications to the nucleon—nucleon interation and a course on physics beyond the Standard Model.
Author : Timo A. Lähde
Publisher : Springer
ISBN 13 : 3030141896
Total Pages : 396 pages
Book Rating : 4.0/5 (31 download)
Download or read book Nuclear Lattice Effective Field Theory written by Timo A. Lähde and published by Springer. This book was released on 2019-05-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.
Author : Laurent Lellouch
Publisher : Oxford University Press
ISBN 13 : 0199691606
Total Pages : 756 pages
Book Rating : 4.1/5 (996 download)
Download or read book Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing written by Laurent Lellouch and published by Oxford University Press. This book was released on 2011-08-25 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations.
Author : Christof Gattringer
Publisher : Springer
ISBN 13 : 3642018505
Total Pages : 352 pages
Book Rating : 4.6/5 (42 download)
Download or read book Quantum Chromodynamics on the Lattice written by Christof Gattringer and published by Springer. This book was released on 2009-10-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.
Author : Herwig Schopper
Publisher : Springer Nature
ISBN 13 : 3030382079
Total Pages : 632 pages
Book Rating : 4.0/5 (33 download)
Download or read book Particle Physics Reference Library written by Herwig Schopper and published by Springer Nature. This book was released on 2020 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first open access volume of the handbook series contains articles on the standard model of particle physics, both from the theoretical and experimental perspective. It also covers related topics, such as heavy-ion physics, neutrino physics and searches for new physics beyond the standard model. A joint CERN-Springer initiative, the "Particle Physics Reference Library" provides revised and updated contributions based on previously published material in the well-known Landolt-Boernstein series on particle physics, accelerators and detectors (volumes 21A, B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access
Author : Huey-Wen Lin
Publisher : Springer
ISBN 13 : 9783319080239
Total Pages : 244 pages
Book Rating : 4.0/5 (82 download)
Download or read book Lattice QCD for Nuclear Physics written by Huey-Wen Lin and published by Springer. This book was released on 2014-11-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.
Author : Mark Allen Srednicki
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.F/5 ( download)
Download or read book Topics in Lattice Field Theory written by Mark Allen Srednicki and published by . This book was released on 1980 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Javad Komijani
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (932 download)
Download or read book Topics in Lattice Gauge Theory and Theoretical Physics written by Javad Komijani and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation contains two completely independent parts. In Part 1, I investigate effective field theories and their applications in lattice gauge theory. Quantum chromodynamics (QCD) as a part of the standard model (SM) describes the physics of quarks and gluons. There are several numerical and analytical methods to tackle the QCD problems. Lattice QCD is the dominant numerical method. Effective field theories, on the other hand, provide analytic methods to describe the low-energy dynamics of QCD. To use the effective theories in lattice QCD, I develop chiral perturbation theory for heavy-light mesons with staggered quarks---an implementation of fermions on lattice. I use this effective chiral theory to study the pattern of taste splitting in masses of the mesons with staggered quarks. I also calculate the leptonic decay constant of the heavy-light mesons with staggered quarks to one-loop order in the chiral expansion. The resulting chiral formula provides a suitable fit form to combine and analyze a large number of decay constants of heavy-light mesons computed from different lattice ensembles with various choices of input parameters. I perform a comprehensive chiral fit to the lattice data for D mesons computed by the MILC collaboration. Consequently, I determine the physical values of the decay constants of D mesons. These precise results place narrow restrictions on the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. In Part 2, I introduce the concept of a nonlinear eigenvalue problem by investigating three nonlinear differential equations. First, equation y'(x) = cos[[pi]xy(x)] is investigated. A discrete set of initial conditions y(0) = a[subscript n], leading to unstable separatrix behavior, are identified as the eigenvalues of the problem. I calculate the asymptotic behavior of the initial conditions a[subscript n] and their corresponding solutions for large n by reducing the equation to a linear one-dimensional random-walk problem. Second, I investigate equation y''(x) = 6[y(x)]2+x, whose solutions are called the first Painlevé transcendent. I calculate different types of critical initial conditions that give rise to separatrix solutions for this equation. I work out the asymptotic behaviors of the initial conditions by reducing the problem to a linear Schrödinger equation. Finally, I investigate the second Painlevé transcendent, corresponding to equation y''(x) = 2[y(x)]3 + xy(x). I find that this equation exhibits patterns similar to the first Painlevé equation.
Author : François Gelis
Publisher : Cambridge University Press
ISBN 13 : 1108574386
Total Pages : 611 pages
Book Rating : 4.1/5 (85 download)
Download or read book Quantum Field Theory written by François Gelis and published by Cambridge University Press. This book was released on 2019-07-11 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail given on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity), equipping students with practical skills for research. Accessibly written, with numerous worked examples and end-of-chapter problems, this is an essential text for graduate students. The breadth of coverage makes it an equally excellent reference for researchers.
Author : Belal Ehsan Baaquie
Publisher : World Scientific
ISBN 13 : 9811209715
Total Pages : 317 pages
Book Rating : 4.8/5 (112 download)
Download or read book Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics written by Belal Ehsan Baaquie and published by World Scientific. This book was released on 2020-07-30 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.
Author : Anthony M Green
Publisher : World Scientific
ISBN 13 : 9814481920
Total Pages : 385 pages
Book Rating : 4.8/5 (144 download)
Download or read book Hadronic Physics From Lattice Qcd written by Anthony M Green and published by World Scientific. This book was released on 2004-10-07 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle and nuclear physicists frequently take results from Lattice QCD at their face value without probing into their reliability or sophistication. This attitude usually stems from a lack of knowledge of the field. The aim of the present volume is to rectify this by introducing in an elementary way several topics, which we believe are appropriate for, and of possible interest to, both particle and nuclear physicists who are non-experts in the field.
Author : Thomas DeGrand
Publisher : World Scientific
ISBN 13 : 9812773983
Total Pages : 363 pages
Book Rating : 4.8/5 (127 download)
Download or read book Lattice Methods for Quantum Chromodynamics written by Thomas DeGrand and published by World Scientific. This book was released on 2006 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.
Author : Jan Smit
Publisher : Cambridge University Press
ISBN 13 : 0521890519
Total Pages : 287 pages
Book Rating : 4.5/5 (218 download)
Download or read book Introduction to Quantum Fields on a Lattice written by Jan Smit and published by Cambridge University Press. This book was released on 2002-09-19 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Yoshinobu Kuramashi
Publisher : World Scientific
ISBN 13 : 9814477206
Total Pages : 323 pages
Book Rating : 4.8/5 (144 download)
Download or read book Perspectives In Lattice Qcd - Proceedings Of The Workshop written by Yoshinobu Kuramashi and published by World Scientific. This book was released on 2007-12-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a series of lectures to cover every facet of the modern version of lattice QCD. All the lectures are self-contained starting with the necessary background material and ending up with the latest development. Most of the lectures are given by pioneers in the field.This book may be useful as an advanced textbook for graduate students in particle physics and its modern and fascinating contents will inspire the interest of the non-experts.
