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

Kratzert, Kai

Ann. Phys. 308, No. 1, 285-310 (2003).

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.

MSC:

81T60	Supersymmetric field theories in quantum mechanics
81T10	Model quantum field theories
81R40	Symmetry breaking in quantum theory

Keywords:

Supersymmetry; Finite temperature field theory; Ward-Takahashi identities; Goldstino; phonino; symmetry is broken spontaneously

References:

[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]	Boyanovsky, D.; Aoyama, H.; Boyanovsky, D., Phys. rev. D, Phys. rev. D, 30, 1356, (1984)
[5]	Matsumoto, H.; Nakahara, M.; Nakano, Y.; Umezawa, H.; Matsumoto, H.; Nakahara, M.; Umezawa, H.; Yamamoto, N., Phys. rev. D, 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]	Aoyama, H.; Ojima, I.; Matsumoto, H.; Umezawa, H.; Yamamoto, N.; Papastamatiou, N.J., Phys. lett. B, Lett. math. phys., 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
[15]	K. Kratzert, in preparation