Statistical Gauge Theory for Relativistic Finite Density Problems

TL;DR

This paper introduces a local relativistic quantum field theory framework for finite density problems, addressing issues like statistical gauge invariance, dark components, and fermion blocking effects, with applications demonstrating its significance.

Contribution

It proposes a novel local approach to relativistic quantum field theories at finite density, incorporating solutions to key conceptual problems and extending the theoretical foundation.

Findings

Addresses statistical gauge invariance in finite density theories

Identifies dark components of local observables

Highlights fermion statistical blocking effects

Abstract

A relativistic quantum field theory is presented for finite density problems based on the principle of locality. It is found that, in addition to the conventional ones, a local approach to the relativistic quantum field theories at both zero and finite density consistent with the violation of Bell like inequalities should contain, and provide solutions to at least three additional problems, namely, 1) the statistical gauge invariance 2) the dark components of the local observables and 3) the fermion statistical blocking effects, base upon an asymptotic non-thermo ensemble. An application to models are presented to show the importance of the discussions.