Equivalence of Many-Photon Green Functions in DKP and KGF Statistical Quantum Field Theories

TL;DR

This paper proves the equivalence of many-photon Green functions in DKP and KGF theories at finite temperature, using path integral formalism, and confirms their polarization operators coincide at one-loop level.

Contribution

It establishes the equivalence of Green functions in DKP and KGF theories in a statistical setting, providing a formal proof and explicit calculations.

Findings

Green functions in DKP and KGF are equivalent at finite temperature

Polarization operators in both theories coincide at one-loop approximation

Path integral formalism effectively demonstrates the equivalence

Abstract

We prove the equivalence of many-photon Green functions in statistical quantum field Duffin-Kemmer-Petiau (DKP) and Klein-Gordon-Fock (KGF) theories using functional path integral formalism for partition functional in statistical quantum (finite temperature) field theory. We also calculate the polarization operators in these theories in one-loop approximation, and demonstrate their coincidence.