Derivative expansion and large gauge invariance at finite temperature

TL;DR

This paper investigates the limitations of derivative expansion in analyzing large gauge invariance in finite temperature Chern-Simons theory, providing new insights into its applicability and theoretical structure.

Contribution

It demonstrates that derivative expansion is not suitable for studying large gauge invariance in finite temperature Chern-Simons theory, offering a critical assessment of this method.

Findings

Derived relations within the derivative expansion framework

Solved the 0+1 dimensional Chern-Simons theory at finite temperature

Argued against the suitability of derivative expansion for large gauge invariance

Abstract

We study the 0+1 dimensional Chern-Simons theory at finite temperature within the framework of derivative expansion. We obtain various interesting relations, solve the theory within this framework and argue that the derivative expansion is not a suitable formalism for a study of the question of large gauge invariance.