Closed description of arbitrariness in resolving quantum master equation

TL;DR

This paper derives a closed-form solution for the transformed quantum master action using path integrals, applicable to arbitrary Fermion operator generators, extending known results in quantum field theory.

Contribution

It provides a novel closed-form expression for the transformed master action in quantum field theory, generalizing previous results to arbitrary Fermion operator generators.

Findings

Derived a closed solution for the transformed master action.

Reduced the path integral to known results for specific Fermion functions.

Extended the applicability of quantum master equation solutions.

Abstract

In the most general case of the Delta exact operator valued generators constructed of an arbitrary Fermion operator, we present a closed solution for the transformed master action in terms of the original master action in the closed form of the corresponding path integral. We show in detail how that path integral reduces to the known result in the case of being the Delta exact generators constructed of an arbitrary Fermion function.