Self-consistency in relativistic theory of infinite statistics fields

TL;DR

This paper provides a detailed analysis of a relativistic quantum field theory involving infinite statistics particles, exploring key properties like cluster decomposition, CPT symmetry, and renormalization.

Contribution

It advances the understanding of infinite statistics in relativistic quantum field theory by analyzing its fundamental properties and consistency.

Findings

Confirmed cluster decomposition property

Established CPT symmetry in the theory

Analyzed renormalization aspects

Abstract

Infinite statistics in which all representations of the symmetric group can occur is known as a special case of quon theory. Our previous work has built a relativistic quantum field theory which allows interactions involving infinite statistics particles. In this paper, a more detailed analysis of this theory is available. Topics discussed include cluster decomposition, CPT symmetry and renormalization.