Lorentz symmetry breaking in Abelian vector-field models with Wess-Zumino interaction

A. A. Andrianov; R. Soldati

doi:10.1103/PhysRevD.51.5961

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Lorentz symmetry breaking in Abelian vector-field models with Wess-Zumino interaction

A. A. Andrianov

R. Soldati

Department of Theoretical Physics, University of Sankt-Petersburg, 198904 Sankt-Petersburg, Russia

Dipartimento di Fisica ‘‘A. Righi,’’ Universitá di Bologna and Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, 40126 Bologna, Italy

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Phys. Rev. D 51, 5961 – Published 15 May, 1995

DOI: https://doi.org/10.1103/PhysRevD.51.5961

Abstract

We consider Abelian vector-field models in the presence of the Wess-Zumino interaction with pseudoscalar matter. The occurrence of the dynamic breaking of Lorentz symmetry at classical and one-loop levels is described for massless and massive vector fields. This phenomenon appears to be the nonperturbative counterpart of the perturbative renormalizability and/or unitarity breaking in chiral gauge theories.

References (13)

L. D. Faddeev, Phys. Lett. 145B, 81 (1984); L. D. Faddeev and S. L. Shatashvili, Theor. Math. Phys. 60, 206 (1986); Phys. Lett. 167B, 225 (1986) R. Jackiw and R. Rajaraman, Phys. Rev. Lett. 54, 1219 (1985); A. A. Andrianov and Yu. V. Novozhilov, Phys. Lett. 163B, 189 (1985); O. Babelon, F. A. Shaposhnik and C. M. Viallet, Phys. Lett. B 177, 385 (1986); K. Harada and I. Tsutsui, ibid. 183, 311 (1987).
D. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972).
A. A. Andrianov, A. Bassetto and R. Soldati, Phys. Rev. Lett. 63, 1554 (1989).
A. A. Andrianov, A. Bassetto and R. Soldati, Phys. Rev. D 44, 2602 (1991); ibid. 47, 4801 (1993).
S. Coleman and E. Weinberg, Phys. Rev. 7, 1888 (1973).
B. S. DeWitt, Phys. Rev. 160, 1113 (1967); ibid. 162, 1195 (1967); ibid. 162, 1239 (1967); L. F. Abbott, Act. Phys. Pol. B13, 33 (1982).
I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro, Effective Action in Quantum Gravity (IOP, Bristol, 1992).
G. Georgi, Nucl. Phys. B361, 339 (1991).
H. B. Nielsen and I. Picek, Nucl. Phys. B211, 269 (1983).
A. Bassetto, G. Nardelli, and R. Soldati, Yang Mills Theories in Algebraic Non covariant Gauges (World Scientific, Singapore, 1991).
Y. Hosotani, University of Minnesota, Report No. UMN TH 1211/93, 1993 (unpublished); Phys. Rev. D 51, 2022 (1995).
G. V. Dunne and C. A. Trugenberger, Ann. Phys. (N.Y.) 204, 281 (1990).
V. Vanyashin, Lett. Math. Phys. 31, 143 (1994).

[c1] L. D. Faddeev, Phys. Lett. 145B, 81 (1984); L. D. Faddeev and S. L. Shatashvili, Theor. Math. Phys. 60, 206 (1986); Phys. Lett. 167B, 225 (1986) R. Jackiw and R. Rajaraman, Phys. Rev. Lett. 54, 1219 (1985); A. A. Andrianov and Yu. V. Novozhilov, Phys. Lett. 163B, 189 (1985); O. Babelon, F. A. Shaposhnik and C. M. Viallet, Phys. Lett. B 177, 385 (1986); K. Harada and I. Tsutsui, ibid. 183, 311 (1987).

[c2] D. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972).

[c3] A. A. Andrianov, A. Bassetto and R. Soldati, Phys. Rev. Lett. 63, 1554 (1989).

[c4] A. A. Andrianov, A. Bassetto and R. Soldati, Phys. Rev. D 44, 2602 (1991); ibid. 47, 4801 (1993).

[c5] S. Coleman and E. Weinberg, Phys. Rev. 7, 1888 (1973).

[c6] B. S. DeWitt, Phys. Rev. 160, 1113 (1967); ibid. 162, 1195 (1967); ibid. 162, 1239 (1967); L. F. Abbott, Act. Phys. Pol. B13, 33 (1982).

[c7] I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro, Effective Action in Quantum Gravity (IOP, Bristol, 1992).

[c8] G. Georgi, Nucl. Phys. B361, 339 (1991).

[c9] H. B. Nielsen and I. Picek, Nucl. Phys. B211, 269 (1983).

[c10] A. Bassetto, G. Nardelli, and R. Soldati, Yang Mills Theories in Algebraic Non covariant Gauges (World Scientific, Singapore, 1991).

[c11] Y. Hosotani, University of Minnesota, Report No. UMN TH 1211/93, 1993 (unpublished); Phys. Rev. D 51, 2022 (1995).

[c12] G. V. Dunne and C. A. Trugenberger, Ann. Phys. (N.Y.) 204, 281 (1990).

[c13] V. Vanyashin, Lett. Math. Phys. 31, 143 (1994).

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Lorentz symmetry breaking in Abelian vector-field models with Wess-Zumino interaction

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