Thermal Field Theory and Infinite Statistics

TL;DR

This paper develops a quantum thermal field theory for scalar particles obeying infinite statistics, exploring its algebraic structure, perturbative properties, and potential extensions of the KLN theorem.

Contribution

It introduces a novel thermal field theory framework for infinite statistics and analyzes its algebraic and perturbative aspects, including stability and theorem extensions.

Findings

Constructed a Fock space realization for infinite statistics

Analyzed the perturbative behavior of the theory

Discussed the stability and extension of the KLN theorem

Abstract

We construct a quantum thermal field theory for scalar particles in the case of infinite statistics. The extension is provided by working out the Fock space realization of a "quantum algebra", and by identifying the hamiltonian as the energy operator. We examine the perturbative behavior of this theory and in particular the possible extension of the KLN theorem, and argue that it appears as a stable structure in a quantum field theory context.