Bosonization
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| Author | : Michael Stone (Ph. D.) |
| Publisher | : World Scientific |
| Total Pages | : 552 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : 9789810218478 |
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.
| Author | : Peter Kopietz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 263 |
| Release | : 2008-12-16 |
| Genre | : Science |
| ISBN | : 3540684956 |
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.
| Author | : Alexander O. Gogolin |
| Publisher | : Cambridge University Press |
| Total Pages | : 452 |
| Release | : 2004-12-16 |
| Genre | : Science |
| ISBN | : 0521617197 |
Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
| Author | : Michael Stone |
| Publisher | : World Scientific |
| Total Pages | : 552 |
| Release | : 1994-12-23 |
| Genre | : Science |
| ISBN | : 981450176X |
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.
| Author | : Rudolf Haussmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 181 |
| Release | : 2003-07-01 |
| Genre | : Science |
| ISBN | : 3540489363 |
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.
| Author | : Ramamurti Shankar |
| Publisher | : Cambridge University Press |
| Total Pages | : 557 |
| Release | : 2017-08-31 |
| Genre | : Science |
| ISBN | : 1108363989 |
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.
| Author | : Vincent Rivasseau |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 228 |
| Release | : 2007-12-22 |
| Genre | : Science |
| ISBN | : 3764385227 |
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.
| Author | : Yitzhak Frishman |
| Publisher | : Cambridge University Press |
| Total Pages | : 457 |
| Release | : 2023-07-31 |
| Genre | : Science |
| ISBN | : 1009401645 |
| Author | : Vieri Mastropietro |
| Publisher | : World Scientific |
| Total Pages | : 312 |
| Release | : 2014 |
| Genre | : Science |
| ISBN | : 9814520721 |
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.
| Author | : Hildegard Meyer-Ortmanns |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 286 |
| Release | : 1998-03-18 |
| Genre | : Mathematics |
| ISBN | : 9783540643081 |
The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
