Encyclopedia of quantum and statistical field theory

• Riccardo Guida*, Institut de Physique Théorique; CEA, IPhT; CNRS; Gif-sur-Yvette, France
• Carlo Maria Becchi, Genoa University, Italy

Editors

• Carlo Maria Becchi, Genoa University, Italy
• Riccardo Guida, Institut de Physique Théorique; CEA, IPhT; CNRS, URA 2306; F-91191 Gif-sur-Yvette, France

Advisory editorial board

• Jean Zinn-Justin, Irfu and Institut de Physique Théorique, Gif-sur-Yvette Cedex, FRANCE

Newly published articles in quantum and statistical field theory (and related topics)

• Franco Strocchi (2012) Spontaneous symmetry breaking in quantum systems Scholarpedia, 7(1):11196.

• Wolfgang Rindler (2012) Special relativity: mechanics Scholarpedia, 7(1):10905.

• Bryan Webber (2011) Parton shower Monte Carlo event generators Scholarpedia, 6(12):10662.

• Franco Strocchi (2011) Spontaneous symmetry breaking in classical systems Scholarpedia, 6(10):11195.

• Steven K Lamoreaux (2011) Casimir Force Scholarpedia, 6(10):9746.

• Sheldon Goldstein, Travis Norsen, Daniel Victor Tausk, Nino Zanghi (2011) Bell's theorem Scholarpedia, 6(10):8378.

Published articles

A-D-E classification of conformal field theories by Andrea Cappelli and Jean-Bernard Zuber Axial anomaly by Roman W. Jackiw Becchi-Rouet-Stora-Tyutin symmetry by Carlo M. Becchi and Camillo Imbimbo Bethe-Salpeter equation (origins) by Edwin E. Salpeter Bogoliubov-Parasiuk-Hepp-Zimmermann renormalization scheme by Klaus Sibold Caldeira-Leggett model by Amir O. Caldeira Critical phenomena: field theoretical approach by Jean Zinn-Justin Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism by Thomas W B Kibble Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism (history) by Thomas W B Kibble Faddeev-Popov ghosts by Ludvig Dmitrievich Faddeev Froissart bound by Marcel Froissart Gauge invariance by Jean Zinn-Justin and Riccardo Guida Gauge theories by Gerard 't Hooft Konishi anomaly by Kenichi Konishi Lagrangian formalism for fields by Dmitri Sorokin Local operator by Guy Bonneau Lattice quantum field theory by Gernot Münster

Multiloop Feynman integrals by Vladimir Smirnov Nambu-Jona-Lasinio model by Giovanni Jona-Lasinio and Yoichiro Nambu Nonlinear sigma model by Sergei Ketov Operator product expansion by Guy Bonneau Path integral by Jean Zinn-Justin Path integral: mathematical aspects by Sergio Albeverio and Sonia Mazzucchi Principle of least action by Chris Gray Second quantization by Carlo M Becchi Slavnov-Taylor identities by Andrei A. Slavnov Spontaneous symmetry breaking in classical systems by Franco Strocchi Spin and statistics by Raymond F. Streater Wightman quantum field theory by Raymond F. Streater Zinn-Justin equation by Jean Zinn-Justin

Draft articles

Algebraic renormalization by Daniel H.T. Franco and Olivier Piguet Lattice gauge theories by Peter Weisz and Pushan Majumdar Quantum field theory: origins by Silvan S. Schweber Padé approximant by George A. Baker Symmetry breaking in quantum systems by Franco Strocchi

Agreed invitations

Algebraic quantum field theory by Detlev Buchholz and Karl-Henning Rehren Analytic structures (axiomatic quantum field theory) by Jacques Bros Anomalous magnetic moments of leptons by Eduardo de Rafael Asymptotic freedom by Frank Wilczek Background field method by Pietro Grassi Chiral perturbation theory by Heinrich Leutwyler Coleman-Weinberg mechanism by Erick J.Weinberg Coleman-Mandula theorem by Jeffrey E. Mandula Conformal field theories in two dimensions by Alexander Zamolodchikov Dimensional Renormalization by Peter Breitenlohner Harish-Chandra-Itzykson-Zuber integral by Jean-Bernard Zuber Hopf algebra and quantum fields by Dirk Kreimer

Lattice chiral fermions by Herbert Neuberger Multiloop Feynman integrals (Evaluation) by Vladimir Smirnov Nambu-Goldstone boson by Yoichiro Nambu Osterwalder-Schrader axioms by Konrad Osterwalder PCT theorem by Raymond F. Streater Quantum chromodynamics by Yuri Dokshitzer Renormalization (axiomatic quantum field theory) by Raymond Stora Renormalization group by Franz Wegner Scattering in Relativistic Quantum Field Theory: mathematical aspects by Detlev Buchholz Symmetry breaking in gauge theories by Franco Strocchi Spin and statistics by Raymond F. Streater Unruh effect by William G. Unruh Verlinde algebra by Erik Verlinde Weyl anomaly by Michael Duff Wilson loop by Gregory Korchemsky

Related encyclopedias

An encyclopedia in Scholarpedia is a portal page containing lists of articles/authors on a given topic and other useful informations. A list of encyclopedias related to Quantum and statistical field theory follows.

• Encyclopedia of dynamical systems
• Encyclopedia of space-time and gravitation
• Encyclopedia of statistical mechanics
• Encyclopedia of theoretical high energy physics

Index of related categories

In Scholarpedia categories are keywords (also) used to label articles related to the same topic. For each keyword, a page containing links to all articles with that keyword is automatically created. Articles belonging to a category C are not necessarily included in a category D wider than C. A list of categories related to Quantum and statistical field theory follows. Click on a category link to see the articles belonging to that category.

Quantum and statistical field theory Conformal and integrable quantum field theories Lattice quantum field theory Quantum field theory (curved spaces) Quantum field theory (foundations) Quantum field theory (mathematical) Statistical field theory Supersymmetry

Condensed matter Quantum gravity Space-time and gravitation Theoretical high energy physics

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Sponsored by: Riccardo Guida, Institut de Physique Théorique; CEA, IPhT; CNRS; Gif-sur-Yvette, France

Sponsored by: Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia