Many-chain Generalization of Gauge-Coupled Fermionic Systems

TL;DR

This paper introduces a generalized model coupling multiple fermionic chains through gauge interactions, utilizing an antisymmetric tensor to transform the system into free fermions with twisted boundary conditions.

Contribution

It extends previous work by developing a many-chain framework with gauge couplings, employing a pseudo-unitary transformation for simplified analysis.

Findings

Models can be mapped to free fermions with twisted boundary conditions

The antisymmetric tensor plays a key role in the coupling structure

The approach generalizes single-chain results to multiple chains

Abstract

We present a many chain generalization of a recent work of ours, wherein an arbitrary number of fermionic chains are coupled via a Gauge interaction. Central to this construction is the role of an antisymmetric tensor which enters the couplings and helps define a pseudo-unitary transformation, that maps the models on to ``free fermi'' models with twisted boundary conditions.