Comment on "Dual path integral representation for finite temperature quantum field theory"

TL;DR

This paper clarifies that a recent dual path integral approach for finite temperature quantum field theory is actually a known quantum mechanics representation using operator symbols, providing insight into its foundational basis.

Contribution

It demonstrates that the proposed dual path integral method is not novel but corresponds to established quantum mechanics representations.

Findings

The dual path integral is equivalent to a known operator symbol representation.

It clarifies the theoretical foundation of the dual path integral approach.

The paper refutes claims of novelty in the dual path integral method.

Abstract

I show that the novel dual path integral representation for finite temperature quantum field theory proposed in [Phys. Rev. D 77, 105030 (2008), arXiv:0803.1667 ] is a well-known representation of quantum mechanics in terms of symbols of operators.