Finite-Temperature Supersymmetry: The Wess-Zumino Model

Details Finite-Temperature Supersymmetry: The Wess-Zumino Model Finite-Temperature Supersymmetry: The Wess-Zumino Model

2003-03-31

arxiv.org/abs/hep-th/0303260v1

Annals Phys. 308 (2003) 285-310

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1016/S0003-4916(03)00143-X

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.

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