Fock Representations of Quantum Fields with Generalized Statistic

TL;DR

This paper develops a rigorous mathematical framework for constructing Fock space representations of quantum fields that follow generalized statistics linked to solutions of the spectral quantum Yang-Baxter equation, with detailed analysis and examples.

Contribution

It introduces a new framework for Fock representations of quantum fields with generalized statistics based on the spectral quantum Yang-Baxter equation, expanding existing quantum field theory models.

Findings

Established a rigorous construction method for generalized statistic Fock spaces.

Analyzed the mathematical structure underlying these representations.

Provided explicit examples illustrating the framework.

Abstract

We develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these representations are investigated. Various aspects of the underlying mathematical structure are illustrated by means of explicit examples.