Gauge Fixing in the Partition Function for Generalized Quantum Dynamics

TL;DR

This paper addresses gauge fixing in generalized quantum dynamics, developing analogs of established procedures like De Witt-Faddeev-Popov and BRST invariance for the partition function.

Contribution

It introduces a novel gauge fixing method for the partition function in generalized quantum dynamics, extending traditional functional integral techniques.

Findings

Derived analogs of De Witt-Faddeev-Popov procedure

Established BRST invariance in generalized quantum context

Provided a framework for gauge fixing in trace dynamics

Abstract

We discuss the problem of gauge fixing for the partition function in generalized quantum (or trace) dynamics, deriving analogs of the De Witt-Faddeev-Popov procedure and of the BRST invariance familiar in the functional integral context.