Quantum field theory in condensed matter physics

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Quantum field theory in condensed matter physics / Alexei M. Tsvelik

版:: 2nd ed
資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, 2003
形態:: xvi, 360 p. ; 26 cm
著者名:: Tsvelik, Alexei M. <DA09385083>
ISBN:: 9780521822848 [052182284X]
書誌ID:: BA64632937

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注記:

Previous ed.: 1995
Includes bibliographical references and index

主題:

Condensed matter; Quantum field theory

言語:

英語

目次情報:

Preface

Acknowledgements

Introduction to Methods / Part I：

QFT: language and goals / 1：

Connection between quantum and classical: path integrals / 2：

Definitions of correlation functions: Wick's theorem / 3：

Free bosonic field in an external field / 4：

Perturbation theory: Feynman diagrams / 5：

Calculation methods for diagram series: divergences and their elimination / 6：

Renormalization group procedures / 7：

O(N)-symmetric vector model below the transition point / 8：

Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion / 9：

O(3) nonlinear sigma model in the strong coupling limit / 10：

Fermions / Part II：

Path integral and Wick's theorem for fermions / 11：

Interaction electrons: the Fermi liquid / 12：

Electrodynamics in metals / 13：

Relativistic fermions: aspects of quantum electrodynamics / 14：

Aharonov-Bohm effect and transmutation of statistics / 15：

Strongly Fluctuating Spin Systems: Introduction / Part III：

Schwinger-Wigner quantization procedure: nonlinear sigma models / 16：

O(3) nonlinear sigma model in (2+1) dimensions: the phase diagram / 17：

Order from disorder / 18：

Jordan-Wigner transformations for spin S=1/2 models in D=1, 2, 3 / 19：

Majorana representation for spin S=1/2 magnets: relationship to Z2 lattice gauge theories / 20：

Path integral representations for a doped antiferromagnet / 21：

Physics in the World of One Spatial Dimension: Introduction / Part IV：

Model of the free bosonic massless scalar field / 22：

Relevant and irrelevant fields / 23：

Kosterlitz-Thouless transition / 24：

Conformal symmetry / 25：

Virasoro algebra / 26：

Differential equations for the correlation functions / 27：

Ising model / 28：

One-dimensional spinless fermions: Tomonaga-Luttinger liquid / 29：

One-dimensional fermions with spin: spin-charge separation / 30：

Kac-Moody algebras: Wess-Zumino-Novikov-Witten model / 31：

Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization / 32：

Semiclassical approach to Wess-Zumino-Novikov-Witten models / 33：

Integrable models: dynamical mass generation / 34：

A comparative study of dynamical mass generation in one and three dimensions / 35：

One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain / 36：

Kondo chain / 37：

Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics / 38：

Select bibliography

Index

Preface

Acknowledgements

Introduction to Methods / Part I：

QFT: language and goals / 1：

Connection between quantum and classical: path integrals / 2：

Definitions of correlation functions: Wick's theorem / 3：

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