Supersymmetric invariant theories

We study field models for which a quantum action (i.e. the action appearing in the generating functional of Green functions) is invariant under supersymmetric transformations. We derive the Ward identity which is direct consequence of this invariance. We consider a change of variables in functional...

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Bibliographic Details
Published in:arXiv.org 2014-04
Main Authors: Esipova, S R, Lavrov, P M, Radchenko, O V
Format: Article
Language:English
Subjects:
Functionals
Green's functions
Invariants
Supersymmetry
Transformations
Online Access:Get full text
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Summary:We study field models for which a quantum action (i.e. the action appearing in the generating functional of Green functions) is invariant under supersymmetric transformations. We derive the Ward identity which is direct consequence of this invariance. We consider a change of variables in functional integral connected with supersymmetric transformations when its parameter is replaced by a nilpotent functional of fields. Exact form of the corresponding Jacobian is found. We find restrictions on generators of supersymmetric transformations when a consistent quantum description of given field theories exists.
ISSN:2331-8422
DOI:10.48550/arxiv.1312.2802