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Bosonization Of Interacting Fermions In Arbitrary Dimensions
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Book Synopsis Bosonization of Interacting Fermions in Arbitrary Dimensions by : Peter Kopietz
Download or read book Bosonization of Interacting Fermions in Arbitrary Dimensions written by Peter Kopietz and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.
Download or read book Bosonization written by Michael Stone and published by World Scientific. This book was released on 1994-12-23 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics. This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike. Contents: Remarks on Bloch's Method of Sound Waves Applied to Many Fermion Problems (S Tomonaga)Particle States of a Quantized Meson Field (T H R Skyrme)Soliton Operators for the Quantized Sine-Gordon Equation (S Mandelstam)Theory of Non-Abelian Goldstone Bosons in Two Dimensions (A M Polyakov & P Weigman)Non-Abelian Bosonization in Two Dimensions (E Witten)Chiral Bosonization, Determinants, and the String Partition Function (E Verlinde & H Verlinde)Bosonization on Higher Genus Riemann Surfaces (L Alvarez-Gaume et al.)Transformation Groups for Soliton Equations (E Date et al.)Coherent-State Path Integrals for Loop Groups and Non-Abelian Bosonization (M Stone)and other papers Readership: Students and researchers in high energy and condensed matter physics. keywords:
Book Synopsis Introduction to the Functional Renormalization Group by : Peter Kopietz
Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer. This book was released on 2010-04-22 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.
Book Synopsis Dynamics of Classical and Quantum Fields by : Girish S. Setlur
Download or read book Dynamics of Classical and Quantum Fields written by Girish S. Setlur and published by Taylor & Francis. This book was released on 2013-12-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous problems. In-depth yet accessible, the book presents new and conventional topics in a self-contained manner that beginners would find useful. A partial list of topics covered includes: Geometrical meaning of Legendre transformation in classical mechanics Dynamical symmetries in the context of Noether’s theorem The derivation of the stress energy tensor of the electromagnetic field, the expression for strain energy in elastic bodies, and the Navier Stokes equation Concepts of right and left movers in case of a Fermi gas explained Functional integration is interpreted as a limit of a sequence of ordinary integrations Path integrals for one and two quantum particles and for a fermion in presence of a filled Fermi sea Fermion and boson Fock spaces, along with operators that create and annihilate particles Coherent state path integrals Many-body topics such as Schrieffer Wolff transformation, Matsubara, and Keldysh Green functions Geometrical meaning of the vortex-vortex correlation function in a charged boson fluid Nonlocal particle-hole creation operators which diagonalize interacting many-body systems The equal mix of novel and traditional topics, use of fresh examples to illustrate conventional concepts, and large number of worked examples make this book ideal for an intensive one-semester course for beginning Ph.D. students. It is also a challenging and thought provoking book for motivated advanced undergraduates.
Book Synopsis 35 Years of Condensed Matter and Related Physics by : Daniel W. Hone
Download or read book 35 Years of Condensed Matter and Related Physics written by Daniel W. Hone and published by World Scientific. This book was released on 1996 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Statistical Field Theory by : Norman J. Morgenstern Horing
Download or read book Quantum Statistical Field Theory written by Norman J. Morgenstern Horing and published by Oxford University Press. This book was released on 2017-09-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.
Download or read book Composite Fermions written by O. Heinonen and published by World Scientific. This book was released on 1998 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most exciting recent developments to have emerged from the quantum Hall effect is the subject of composite fermions. This important volume gives a self-contained, comprehensive description of the subject, including fundamentals, more advanced theoretical work, and results from experimental observations of composite fermions.
Book Synopsis Physics and Applications of Semiconductor Quantum Structures by : T. Yao
Download or read book Physics and Applications of Semiconductor Quantum Structures written by T. Yao and published by CRC Press. This book was released on 2001-01-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by international experts, Physics and Applications of Semiconductor Quantum Structures covers the most important recent advances in the field. Beginning with a review of the evolution of semiconductor superlattices and quantum nanostructures, the book explores fabrication and characterization techniques, transport, optical, and spin-depende
Book Synopsis Luttinger Model by : Vieri Mastropietro
Download or read book Luttinger Model written by Vieri Mastropietro and published by World Scientific. This book was released on 2014 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.
Book Synopsis Turbulence and Magnetic Fields in Astrophysics by : Edith Falgarone
Download or read book Turbulence and Magnetic Fields in Astrophysics written by Edith Falgarone and published by Springer Science & Business Media. This book was released on 2003-03-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar ́e in Paris. We made the choice to publish these lectures in a tutorial form so that they can be read by a broad audience. As a result, this book does not give an exhaustive view of all the subjects addressed during the conference. The main objective of this workshop which gathered about 90 scientists from di?erent ?elds, was to present and confront recent results on the topic of t- bulence in magnetized astrophysical environments. A second objective was to discuss the latest generation of numerical codes, such as those using adaptive mesh re?nement (AMR) techniques. During a plenary discussion at the end of the workshop discussions were held on several topics, often at the heart of vivid controversies. Topics included the timescale for the dissipation of magneto-hydrodynamical (MHD) turbulence, the role of boundary conditions, the characteristics of imbalanced turbulence, the validity of the polytropic approach to Alfv ́en waves support within interst- lar clouds, the source of turbulence inside clouds devoid of stellar activity, the timescale for star formation, the Alfv ́en Mach number of interstellar gas motions, the formation process for helical ?elds in the interstellar medium. The impact of small upon large scales was also discussed.
Book Synopsis Electron Correlations In The Solid State by : Norman H March
Download or read book Electron Correlations In The Solid State written by Norman H March and published by World Scientific Publishing Company. This book was released on 1999-12-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book deals with the many-electron theory of the solid state. Mastery of the material in it will equip the reader for research in areas such as high-temperature superconductors and the fractional quantum Hall effect. The whole book has been designed to provide the diligent reader with a wide variety of approaches to many-electron theory.The level of the book is suitable for research workers and higher-degree students in a number of disciplines, embracing theoretical physics, materials science and solid-state chemistry. It should be useful not only to theorists in these areas but also to experimental scientists who desire to orient their programmes to address outstanding questions raised by many-body theory.
Book Synopsis Chiral Soliton Models for Baryons by : Herbert Weigel
Download or read book Chiral Soliton Models for Baryons written by Herbert Weigel and published by Springer. This book was released on 2007-11-28 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise research monograph introduces and reviews the concept of chiral soliton models for baryons. In these models, baryons emerge as (topological) defects of the chiral field. The many applications shed light on a number of bayron properties, ranging from static properties via nuclear resonances to even heavy ion collisions. This volume also features a number of appendices to help nonspecialist readers to follow in more detail some of the calculations in the main text.
Book Synopsis Realizing Controllable Quantum States by :
Download or read book Realizing Controllable Quantum States written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Directions in Mesoscopic Physics (Towards Nanoscience) by : R. Fazio
Download or read book New Directions in Mesoscopic Physics (Towards Nanoscience) written by R. Fazio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction and comprehensive survey of the main issues in mesosocopic physics. Topics covered include quantum Hall effects, transport through quantum wires and dots, coherence in mesoscopic systems, spintronics, disordered systems, and solid state quantum computation. Some contributions are dedicated to the connections between nanoscience and biophysics and quantum optics. Although the topics mentioned have many aspects in common, they span a wide area of physics. It is therefore especially important to provide a broad view of this rapidly expanding field. Thanks to the excellent presentations, the book will be found suitable both for young researchers who want to enter the field and stimulating for more experienced scientists.
Book Synopsis Exactly Solvable Models of Strongly Correlated Electrons by : Vladimir E Korepin
Download or read book Exactly Solvable Models of Strongly Correlated Electrons written by Vladimir E Korepin and published by World Scientific. This book was released on 1994-05-24 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography. Contents:One-Dimensional Hubbard ModelThe Supersymmetric t-J ModelOther Models of Strongly Correlated Electrons: Models with Local InteractionModels with Long-Range Interaction Readership: Mathematical physicists and condensed matter physicists. keywords:Hubbard Model;Bethe Ansatz;t-J Model;Charge and Spin Separation;Thermodynamics;Magnetism;Correlation Functions;Cattering Matrix;Luttinger Liqud;Confomal Field Theory
Book Synopsis Statistical Mechanics of Biocomplexity by : D. Reguera
Download or read book Statistical Mechanics of Biocomplexity written by D. Reguera and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the usefulness of tools from statistical mechanics for biology. It includes the new tendencies in topics like membranes, vesicles, microtubules, molecular motors, DNA, protein folding, phase transitions in biological systems, evolution, population dynamics, neural systems and biological oscillators, with special emphasis on the importance of statistical mechanics in their development. The book addresses researchers and graduate students.
Book Synopsis Foundations of Mathematics and Physics One Century After Hilbert by : Joseph Kouneiher
Download or read book Foundations of Mathematics and Physics One Century After Hilbert written by Joseph Kouneiher and published by Springer. This book was released on 2018-05-26 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.
