On the relation between Green's functions of the SUSY theory with and without soft terms

TL;DR

This paper explores algebraic relations between Green's functions in softly broken and rigid supersymmetric theories, showing they can be related through coordinate transformations in superspace, with implications for understanding supersymmetry breaking.

Contribution

It demonstrates that algebraic relations between Green's functions of softly broken and rigid SUSY theories can be derived via superspace coordinate transformations, providing a new perspective.

Findings

Algebraic relations between Green's functions exist in SUSY theories.

Soft breaking terms can be interpreted as coordinate changes in superspace.

Relations are explicitly derived for supersymmetric quantum mechanics.

Abstract

We study possible relations between the full Green's functions of softly broken supersymmetric theories and the full Green's functions of rigid supersymmetric theories on the example of the supersymmetric quantum mechanics and find that algebraic relations can exist and can be written in a simple form. These algebraic relations between the Green's functions have been derived by transforming the path integral of the rigid theory. In this approach soft terms appear as the result of general changes of coordinates in the superspace.