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Author : S. L. Lukyanov,V. A. Fateev
Publisher : CRC Press
Page : 132 pages
File Size : 47,6 Mb
Release : 1991
Category : Science
ISBN : 3718650479
Author : Seifallah Randjbar-daemi,Ergin Sezgin,Jean-bernard Zuber
Publisher : World Scientific
Page : 322 pages
File Size : 51,8 Mb
Release : 1990-06-27
Category : Electronic
ISBN : 9789814611459
Author : A. S. Borovik-Romanov
Publisher : CRC Press
Page : 72 pages
File Size : 50,7 Mb
Release : 1990
Category : Science
ISBN : 3718650509
The results of experiments in which magnetization transfer at a considerable distance in 3He-B, the flow of spin current along a capillary due to a gradient in the phase of the order parameter and phase slippage when a critical value of the current is reached are observed.
Author : V. S. Dotsenko,M. V. Feigel'man,L. B. Ioffe
Publisher : CRC Press
Page : 266 pages
File Size : 51,5 Mb
Release : 1990
Category : Science
ISBN : 3718650398
Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR
Author : S. Pakuliak,G. von Gehlen
Publisher : Springer
Page : 348 pages
File Size : 43,9 Mb
Release : 2001-08-31
Category : Mathematics
ISBN : UVA:X004557349
Proceedings of the NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models, Kiev, Ukraine, September 25-30, 2000
Author : Ilarion V. Melnikov
Publisher : Springer
Page : 482 pages
File Size : 41,9 Mb
Release : 2019-02-11
Category : Science
ISBN : 9783030050856
This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.
Author : Valentin Vasilʹevich Lychagin
Publisher : American Mathematical Soc.
Page : 308 pages
File Size : 45,7 Mb
Release : 1995
Category : Differential equations, Nonlinear
ISBN : 0821804286
Author : E.S. Fradkin,Mark Ya. Palchik
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 53,8 Mb
Release : 2013-03-14
Category : Science
ISBN : 9789401587570
Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2: :~. It has also been shown that this algebra admits an operator rentral expansion. It seems to us that the above-mentioned models are field theoretical realizations of the representations of these new symmetries for D 2: ;3.
Author : A.B. Zamolodchikov
Publisher : CRC Press
Page : 180 pages
File Size : 45,6 Mb
Release : 1989-01-31
Category : Science
ISBN : 3718648636
Author : Martin Schottenloher
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 44,6 Mb
Release : 2008-09-15
Category : Science
ISBN : 9783540706908
Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. Part II surveys more advanced topics of conformal field theory such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.
Author : Martin Schottenloher
Publisher : Springer
Page : 249 pages
File Size : 45,5 Mb
Release : 2009-08-29
Category : Science
ISBN : 3540864318
The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
Author : C Itzykson,H Saleur,Jean-bernard Zuber
Publisher : World Scientific
Page : 992 pages
File Size : 49,7 Mb
Release : 1998-09-29
Category : Electronic
ISBN : 9789814507592
This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.
Author : A. M. Dyugaev
Publisher : CRC Press
Page : 192 pages
File Size : 47,9 Mb
Release : 1991
Category : Science
ISBN : 3718650401
Author : A. M. Finkel'stein,Finkel'stein
Publisher : CRC Press
Page : 120 pages
File Size : 43,6 Mb
Release : 1991
Category : Science
ISBN : 371864990X
This volume proceeds from a description of a disordered electron liquid via effective functional or diffusion modes to a theory of interacting electrons in disordered conductors that is of the Fermi-liquid type but with renormalizable parameters. The influence of disorder on the temperature of the superconducting transition in homogeneous amorphous films is analyzed theoretically. Critical properties in the vicinity of metal-insulator transitions are discussed and spin instability is considered: the latter shows the great importance of spin fluctuation in the region of the transition.
Author : Piotr Garbaczewski,Ziemowit Popowicz
Publisher : World Scientific
Page : 722 pages
File Size : 40,8 Mb
Release : 1991-09-02
Category : Electronic
ISBN : 9789814556262
Main themes are complete integrability, bi-Hamiltonian structures, hierarchies, impact on string theory, links with quantum groups, random perturbations of deterministic dynamics and the onset of stochasticity/chaos/ in case of particle motion, and the relation between randomness and quantisation.