Spontaneous broken symmetry

Robert Brout; François Englert

doi:10.1016/j.crhy.2006.12.004

Spontaneous broken symmetry
[Brisure spontanée de symétrie]

Robert Brout ^1,² ; François Englert ^1,²

¹ Service de physique théorique, université libre de Bruxelles, campus plaine, C.P. 225, B-1050 Bruxelles, Belgium
² The International Solvay Institutes, boulevard du Triomphe, B-1050 Bruxelles, Belgium

Comptes Rendus. Physique, Volume 8 (2007) no. 9, pp. 973-985.

Résumé
Abstract

Le concept de brisure spontanée de symétrie est présenté dans le cadre des symétries globales en physique de la matière condensée et en physique des particules. Ce concept est adapté ensuite aux symétries locales en théorie des champs relativistes. La présentation est centrée sur l'analyse conceptuelle qui conduit d'une part au vide dégénéré de la symétrie brisée globalement mais d'autre part à son invariance de jauge en présence d'une symétrie locale (dite de jauge).

The concept of spontaneous broken symmetry is reviewed in the presence of global symmetries both in matter and particle physics. This concept is then taken over to confront local symmetries in relativistic field theory. Emphasis is placed on the basic concepts where, in the former case, the vacuum of spontaneous broken symmetry is degenerate whereas that of local (or gauge) symmetry is gauge invariant.

Publié le : 2007-06-01

DOI : 10.1016/j.crhy.2006.12.004

Keywords: Broken symmetry, Statistical physics, Field theory
Mot clés : Brisure de symétrie, Physique statistique, Théorie des champs

Affiliations des auteurs :

Robert Brout ^{1, 2} ; François Englert ^{1, 2}

¹ Service de physique théorique, université libre de Bruxelles, campus plaine, C.P. 225, B-1050 Bruxelles, Belgium
² The International Solvay Institutes, boulevard du Triomphe, B-1050 Bruxelles, Belgium

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Robert Brout; François Englert. Spontaneous broken symmetry. Comptes Rendus. Physique, Volume 8 (2007) no. 9, pp. 973-985. doi : 10.1016/j.crhy.2006.12.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.12.004/

Bibliographie
Cité par

[1] S.L. Glashow; S. Weinberg; A. Salam, Phys. Rev. Lett. (N. Svartholm, ed.) (Elementary Particle Physics, Proceedings of the 8th Nobel Symposium), Volume 22, Almqvist and Wiksell, Stockhlom, 1961, p. 579

[2] L.D. Landau On the theory of phase transitions I, JETP, Volume 11 (1937), p. 26

[3] Y. Nambu Axial vector current conservation in weak interactions, Phys. Rev. Lett., Volume 4 (1960), p. 380

[4] F. Englert; R. Brout Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett., Volume 13 (1964), p. 321

[5] P.W. Higgs Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett., Volume 13 (1964), p. 508

[6] J. Bardeen; L. Cooper; J.R. Schrieffer Microscopic theory of superconductivity, Phys. Rev., Volume 106 (1957), p. 162

[7] P.W. Anderson Random-phase approximation in the theory of superconductivity, Phys. Rev., Volume 112 (1958), p. 1900

[8] Y. Nambu Quasi-particles and gauge invariance in the theory of superconductivity, Phys. Rev., Volume 117 (1960), p. 648

[9] Y. Nambu; G. Jona-Lasinio; Y. Nambu; G. Jona-Lasinio Dynamical model of elementary particles based on an analogy with superconductivity II, Phys. Rev., Volume 122 (1961), p. 345

[10] M.L. Goldberger; S.B. Treiman Decay of the pi meson, Phys. Rev., Volume 110 (1958), p. 1178

[11] J. Goldstone Field theories with “superconductor” solutions, Il Nuovo Cimento, Volume 19 (1961), p. 154

[12] J. Goldstone; A. Salam; S. Weinberg Broken symmetries, Phys. Rev., Volume 127 (1962), p. 965

[13] P.W. Higgs Broken symmetries, massless particles and gauge fields, Phys. Lett., Volume 12 (1964), p. 132

[14] S. Elitzur Impossibility of spontaneously breaking local symmetries, Phys. Rev. D, Volume 12 (1975), p. 3978

[15] P.W. Higgs Spontaneous symmetry breakdown without massless bosons, Phys. Rev., Volume 145 (1966), p. 1156

[16] F. Englert; R. Brout; M. Thiry Vector mesons in presence of broken symmetry, Proceedings of the 1967 Solvay Conference, Fundamental Problems in Elementary Particle Physics, Volume 43A (1966), p. 244

[17] G. 't Hooft; G. 't Hooft; M. Veltman Regularization and renormalization of gauge fields, Nucl. Phys. B, Volume 35 (1971), p. 167

[18] H. Georgi; H.R. Quinn; S. Weinberg Hierarchy of interactions in unified gauge theories, Phys. Rev. Lett., Volume 33 (1974), p. 451

[19] G. 't Hooft; A.M. Polyakov Particle spectrum in the quantum field theory, JETP Lett., Volume 79 (1974), p. 276

[20] F. Englert 50 Years of Yang–Mills Theory, Broken Symmetry and Yang–Mills Theory (G. 't Hooft, ed.), World Scientific, 2005, p. 61

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