On the Local Finite Density Relativistic Quantum Field Theories

TL;DR

This paper proposes a local approach to relativistic quantum field theories at finite density, addressing issues like gauge invariance, dark components, and fermion effects, with applications demonstrating its relevance.

Contribution

It introduces a novel local framework for relativistic quantum field theories at finite density, solving key problems related to gauge invariance and fermion effects.

Findings

Addresses statistical gauge invariance in local QFTs

Identifies dark components in local observables

Analyzes fermion statistical block effects

Abstract

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 block effects, base upon an asymptotic non-thermo ensemble. An application to models are presented to show the relevance of the discussions.