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Bosonization
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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 Bosonization and Strongly Correlated Systems by : Alexander O. Gogolin
Download or read book Bosonization and Strongly Correlated Systems written by Alexander O. Gogolin and published by Cambridge University Press. This book was released on 2004-12-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Book Synopsis Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems by : Rudolf Haussmann
Download or read book Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems written by Rudolf Haussmann and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems. Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.
Book Synopsis Orbifold Twist Field Correlation Functions and Coset Bosonization of Parafermions by : Paul André Griffin
Download or read book Orbifold Twist Field Correlation Functions and Coset Bosonization of Parafermions written by Paul André Griffin and published by . This book was released on 1988 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory and Condensed Matter by : Ramamurti Shankar
Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by Cambridge University Press. This book was released on 2017-08-31 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
Book Synopsis Non-Perturbative Field Theory by : Yitzhak Frishman
Download or read book Non-Perturbative Field Theory written by Yitzhak Frishman and published by Cambridge University Press. This book was released on 2023-07-31 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Phase Transitions by : Subir Sachdev
Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Book Synopsis Path Integrals and Quantum Anomalies by : Kazuo Fujikawa
Download or read book Path Integrals and Quantum Anomalies written by Kazuo Fujikawa and published by Oxford University Press. This book was released on 2004-04-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Book Synopsis Conformal Field Theory by : Philippe Francesco
Download or read book Conformal Field Theory written by Philippe Francesco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Book Synopsis Particles And Fields - Proceedings Of The Ixth Jorge Andre Swieca Summer School by : Joao Carlos Alves Barata
Download or read book Particles And Fields - Proceedings Of The Ixth Jorge Andre Swieca Summer School written by Joao Carlos Alves Barata and published by World Scientific. This book was released on 1998-05-08 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the IXth Jorge André Swieca Summer School — Particles and Fields — held at Campos do Jordao in February 1997.It surveys some of the most interesting research topics in theoretical physics, like duality theory, quantum field theory in curved space-time, supersymmetry and the standard model, differential geometry and its applications in physics and cosmic ray physics.
Book Synopsis Bose-Einstein Condensation by : A. Griffin
Download or read book Bose-Einstein Condensation written by A. Griffin and published by Cambridge University Press. This book was released on 1996-07-13 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to Bose-Einstein condensation (BEC) as an interdisciplinary subject.
Book Synopsis Excitonic Processes in Condensed Matter by : Kikuo Cho
Download or read book Excitonic Processes in Condensed Matter written by Kikuo Cho and published by World Scientific. This book was released on 2001-08-22 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: At Yamada Conference LIII, papers on many novel materials and on novel phenomena in condensed matter physics were presented — for instance, the achievement of simultaneous creation of excitons and free-electron-hole pairs in rare gas solids, and a low frequency fluctuation of the spectral shift of indirect excitons in GaAs coupled quantum wells. Single molecule spectroscopy is a powerful tool for studying molecules including biological systems; the study of delocalization of excitons in the photosynthetic light harvesting antenna system was also reported. The proceedings thus contain many excellent papers dealing with current research topics on the excitonic processes in bulk, quantum wells, quantum dots and other confined systems. This book will serve as an excellent source of recent references and reviews for a wide range of researchers in physics, chemistry, engineering and biological sciences. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) Contents:Dynamical Process of Photoionization in Semiconductor Nanocrystals (M Y Shen et al.)Excitons on a 1D Periodic Conjugated Polymer Chain: Two Electronic Structures of Polydiacetylene Chains (C Lapersonne-Meyer)Anomalous Spectral Shifts of Indirect Excitons in Coupled GaAs Quantum Wells (D W Snoke et al.)Infrared Absorption by Excitons in Cuprous Oxide (M Göppert et al.)Theory of Excitation-Energy Transfer Processes Involving Optically Forbidden Exciton States in Antenna Systems of Photosynthesis (K Mukai et al.)Transient Grating Induced by Excitonic Polaritons in Thin Film Semiconductors (K Akiyama et al.)Excitonic Photoluminescence of Pentacene Single Crystal (T Aoki-Matsumoto et al.)Scanning Near-Field Optical Microspectroscopy of Single Perylene Microcrystals (J Niitsuma et al.)and other papers Readership: Condensed matter physicists, materials scientists, chemists and biologists. Keywords:Excitonic;Processes;Quantum Well;Quantum Dot
Book Synopsis Quantum Field Theory Approach to Condensed Matter Physics by : Eduardo C. Marino
Download or read book Quantum Field Theory Approach to Condensed Matter Physics written by Eduardo C. Marino and published by Cambridge University Press. This book was released on 2017-09-28 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Independent electrons and static crystals -- Vibrating crystals -- Interacting electrons -- Interactions in action -- Functional formulation of quantum field theory -- Quantum fields in action -- Symmetries: explicit or secret -- Classical topological excitations -- Quantum topological excitations -- Duality, bosonization and generalized statistics -- Statistical transmutation -- Pseudo quantum electrodynamics -- Quantum field theory methods in condensed matter -- Metals, Fermi liquids, Mott and Anderson insulators -- The dynamics of polarons -- Polyacetylene -- The Kondo effect -- Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that' -- Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that' -- The spin-fermion system: a quantum field theory approach -- The spin glass -- Quantum field theory approach to superfluidity -- Quantum field theory approach to superconductivity -- The cuprate high-temperature superconductors -- The pnictides: iron based superconductors -- The quantum Hall effect -- Graphene -- Silicene and transition metal dichalcogenides -- Topological insulators -- Non-abelian statistics and quantum computation
Book Synopsis Frontiers in Quantum Information Research by : Mikio Nakahara
Download or read book Frontiers in Quantum Information Research written by Mikio Nakahara and published by World Scientific. This book was released on 2012 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes/contributions from a summer school on decoherence, entanglement & entropy and a workshop on MPS (matrix product states) & DMRG (density matrix renormalization group). Subjects of the summer school include introduction to MPS, black holes, qubits and octonions, weak measurement, entanglement measures and separability, generalized Bell inequalities, among others. Subjects of the workshop are dedicated to MPS and DMRG. Applications to strongly correlated systems and integrable systems are also mentioned. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background in quantum information and quantum computing may understand the subjects.
Book Synopsis Quantum Electron Liquids and High-Tc Superconductivity by : Jose Gonzalez
Download or read book Quantum Electron Liquids and High-Tc Superconductivity written by Jose Gonzalez and published by Springer Science & Business Media. This book was released on 1995-12-12 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from a course given at the Univcrsidad Aut6noma of Madrid in the Spring of 1994 and in the Universidad Complutense of Madrid in 1995. The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-1~ superconducting materials. As theoretical physicists, our starting viewpoint to address the problem of strongly correlat ed ferlnion systems and related issues of modern condensed matter physics ·is the renormalization group approach applied both to quantU111 field theory and statistical physics. In recent years this has become not only a powerful tool for retrieving the essential physics of interacting systems but also a link between theoretical physics and modern condensed matter physics. Furthermore, once we have this common background for dealing with apparently different prob lems, we discuss more specific topics and even phenomenological aspects of the field. In doing so we have tried to make the exposition clear and simple, with out entering into technical details but focusing ill the fundamental physics of the phenomena under study. Therefore ,ve expect that our experience ll1ay have some value to other people entering this fascinating field. We have divided these notes into three parts and each part into chapters, which correspond roughly to one or two lectures. Part I, Chaps. 1-2 (A. H. V.
Book Synopsis Quantum Spaces by : Vincent Rivasseau
Download or read book Quantum Spaces written by Vincent Rivasseau and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent technique of renormalization of quantum field theories on non-commutative space-time.
