Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications
Author: Jurg Frohlich
Publisher: World Scientific
Total Pages: 855
Release: 1992-04-29
Genre:
ISBN: 9814506567

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Lectures on the Physics of Highly Correlated Electron Systems X

Lectures on the Physics of Highly Correlated Electron Systems X
Author: Adolfo Avella
Publisher: American Institute of Physics
Total Pages: 322
Release: 2006-07-19
Genre: Science
ISBN: 9780735403406

This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics intended to train students. Contributions include: Strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.

Out-of-Equilibrium Physics of Correlated Electron Systems

Out-of-Equilibrium Physics of Correlated Electron Systems
Author: Roberta Citro
Publisher: Springer
Total Pages: 199
Release: 2018-07-26
Genre: Technology & Engineering
ISBN: 331994956X

This book is a wide-ranging survey of the physics of out-of-equilibrium systems of correlated electrons, ranging from the theoretical, to the numerical, computational and experimental aspects. It starts from basic approaches to non-equilibrium physics, such as the mean-field approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy.

Theoretical Methods for Strongly Correlated Electrons

Theoretical Methods for Strongly Correlated Electrons
Author: David Sénéchal
Publisher: Springer Science & Business Media
Total Pages: 370
Release: 2004
Genre: Science
ISBN: 0387008950

Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type – i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions. Taken together, the contributions to this volume represent a comprehensive overview of current problems and developments.

Current Topics In Condensed Matter And Particle Physics: Non-perturbative Phenomena And Strongly Correlated Systems

Current Topics In Condensed Matter And Particle Physics: Non-perturbative Phenomena And Strongly Correlated Systems
Author: Shan-tao Liao
Publisher: World Scientific
Total Pages: 656
Release: 1993-03-05
Genre:
ISBN: 9814553131

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