The Thom Class and Localization of SUSY QM Generating Functional

TL;DR

This paper applies the Mathai-Quillen Thom class to define the generating functional in a simple supersymmetric quantum mechanical model, illustrating a geometric approach to quantum field theory.

Contribution

It introduces a novel application of the Mathai-Quillen Thom class in the context of supersymmetric quantum mechanics generating functionals.

Findings

Explicit Thom class form used in SUSY QM functional

Bridges geometric topology and quantum physics

Provides a new perspective on supersymmetric models

Abstract

We demonstrate the usage of explicit form of the Thom class found by Mathai and Quillen for the definition of generating functional of a simple supersymmetric quantum mechanical model.