Relativistic Theory of Infinite Statistics Fields

TL;DR

This paper establishes a consistent relativistic quantum field theory framework for particles obeying infinite statistics, addressing previous doubts about their relativistic compatibility.

Contribution

It proves the existence of a relativistic quantum field theory for infinite statistics particles and analyzes its consistency, including conservation laws and Feynman rules.

Findings

Existence of a relativistic quantum field theory for infinite statistics particles

Verification of conservation of statistics within the theory

Development of Feynman rules for interactions involving infinite statistics

Abstract

Infinite statistics in which all representations of the symmetric group can occur is known as a special case of quon theory. However, the validity of relativistic quon theories is still in doubt. In this paper we prove that there exists a relativistic quantum field theory which allows interactions involving infinite statistics particles. We also give some consistency analysis of this theory such as conservation of statistics and Feynman rules.