Leading-Order Actions of Goldstino Fields

Details Leading-Order Actions of Goldstino Fields Leading-Order Actions of Goldstino Fields

2010-05-03

arxiv.org/abs/1005.0231v4

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, version to appear in European Physical Journal C

Scientific paper

This paper starts with a self-contained discussion of the so-called Akulov-Volkov action S_AV, which is traditionally taken to be the leading-order action of Goldstino field. Explicit expressions for S_AV and its chiral version S_AV^ch are presented. We then turn to the issue on how these actions are related to the leading-order action S_NL proposed in the newly proposed constrained superfield formalism. We show that S_NL may yield S_AV/S_AV^ch or a totally different action S_KS, depending on how the auxiliary field in the former is integrated out. However, S_KS and S_AV/S_AV^ch always yield the same S-matrix elements, as one would have expected from general considerations in quantum field theory.

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