Finite-temperature supersymmetry: the Wess-Zumino model. (English) Zbl 1044.81111

Summary: We investigate the breakdown of supersymmetry at finite temperature. While it has been proven that temperature always breaks supersymmetry, the nature of this breaking is less clear. On the one hand, a study of the Ward-Takahashi identities suggests a spontaneous breakdown of supersymmetry without the existence of a Goldstino, while on the other hand it has been shown that in any supersymmetric plasma there should exist a massless fermionic collective excitation, the phonino. Aim of this work is to unify these two approaches. For the Wess-Zumino model, it is shown that the phonino exists and contributes to the supersymmetric Ward-Takahashi identities in the right way displaying that supersymmetry is broken spontaneously with the phonino as the Goldstone fermion.


81T60 Supersymmetric field theories in quantum mechanics
81T10 Model quantum field theories
81R40 Symmetry breaking in quantum theory
Full Text: DOI arXiv


[1] Das, A.; Kaku, M., Phys. Rev. D, 18, 4540 (1978)
[2] Girardello, L.; Grisaru, M. T.; Salomonson, P., Nucl. Phys. B, 178, 331 (1981)
[3] Buchholz, D.; Ojima, I., Nucl. Phys. B, 498, 228 (1997)
[4] Aoyama, H.; Boyanovsky, D., Phys. Rev. D, 30, 1356 (1984)
[5] Matsumoto, H.; Nakahara, M.; Umezawa, H.; Yamamoto, N., Phys. Rev. D, 33, 2851 (1986)
[6] Lebedev, V. V.; Smilga, A. V., Nucl. Phys. B, 318, 669 (1989)
[7] Gudmundsdottir, R.; Salomonson, P., Nucl. Phys. B, 285, 1 (1987)
[8] Landsman, N. P.; van Weert, C. G., Phys. Rep., 145, 141 (1987)
[9] Wess, J.; Zumino, B., Nucl. Phys. B, 70, 39 (1974)
[10] Sohnius, M. F., Phys. Rep., 128, 39 (1985)
[11] Matsumoto, H.; Umezawa, H.; Yamamoto, N.; Papastamatiou, N. J., Phys. Rev. D, 34, 3217 (1986)
[12] Leigh, R. G.; Rattazzi, R., Phys. Lett. B, 352, 20 (1995)
[13] Midorikawa, S., Prog. Theor. Phys., 73, 1245 (1985)
[14] Kapusta, J. I., Phys. Lett. B, 118, 343 (1982), Erratum-Phys. Lett. B 122 (1983) 486
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.