Recent advances in field theory and statistical mechanics
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Page : pages
File Size : 40,22 MB
Release : 1984
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ISBN :
Author :
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Page : pages
File Size : 40,22 MB
Release : 1984
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Author : H Saleur
Publisher : World Scientific
Page : 346 pages
File Size : 13,66 MB
Release : 1995-08-31
Category : Science
ISBN : 9814549991
The following topics were covered: the study of renormalization group flows between field theories using the methods of quantum integrability, S-matrix theory and the thermodynamic Bethe Ansatz; impurity problems approached both from the point of view of conformal field theory and quantum integrability. This includes the Kondo effect and quantum wires; solvable models with 1/r² interactions (Haldane-Shastri models). Yangian symmetries in 1/r² models and in conformal field theories; correlation functions in integrable 1+1 field theories; integrability in three dimensions; conformal invariance and the quantum hall effect; supersymmetry in statistical mechanics; and relations to two-dimensional Yang-Mills and QCD.
Author : Mario Rasetti
Publisher : World Scientific
Page : 234 pages
File Size : 31,85 MB
Release : 1990
Category : Science
ISBN : 9789810202255
http://www.worldscientific.com/worldscibooks/10.1142/1095
Author : M. Levy
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 50,68 MB
Release : 2013-06-29
Category : Science
ISBN : 1461589185
The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. On the other hand, many new problems were arising from these various domains. Thus we feIt that 1976 might be an appropriate occasion both to review recent developments and to encourage interactions between researchers from different backgrounds working on a common set of unsolved problems. An important aspect of the school, as it took place, was the participation of and stimulating interaction between such a broad spectrum of theorists. The central topics of the school were chosen from the areas of solitons, phase transitions, critical behavior, the renormalization group, gauge fields and the analysis of nonrenormalizable field theories. A noteworthy feature of these topics is the interpene tration of ideas from quantum field theory and statistical mechanics whose inherent unity is seen in the functional integral formulation of quantum field theory. The actual lectures were partly in the form of tutorials designed to familiarize the participants with re cent progress on the main topics of the school. Others were in the form of more specialized seminars reporting on recent research.
Author : G. Mussardo
Publisher : Oxford University Press, USA
Page : 778 pages
File Size : 41,71 MB
Release : 2010
Category : Mathematics
ISBN : 0199547580
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.
Author : P. Binétruy
Publisher : Elsevier
Page : 341 pages
File Size : 36,88 MB
Release : 2016-06-03
Category : Science
ISBN : 1483257320
Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.
Author : Barry M McCoy
Publisher : Oxford University Press, USA
Page : 641 pages
File Size : 40,8 MB
Release : 2010
Category : Computers
ISBN : 0199556636
McCoy presents the advances made in statistical mechanics over the last 50 years, including mathematical theorems on order and phase transitions, numerical and series computations of phase diagrams and solutions for important solvable models such as Ising and 8 vortex.
Author : Mehran Kardar
Publisher : Cambridge University Press
Page : 376 pages
File Size : 40,25 MB
Release : 2007-06-07
Category : Science
ISBN : 1139855883
While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.
Author : M. Levy
Publisher :
Page : 488 pages
File Size : 18,15 MB
Release : 2014-09-01
Category :
ISBN : 9781461589198
Author : Dr. Gérard G. Emch
Publisher : Courier Corporation
Page : 336 pages
File Size : 22,32 MB
Release : 2014-08-04
Category : Science
ISBN : 0486151719
This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.