Thermofield-Bosonization on Compact Space

TL;DR

This paper extends thermofield-bosonization techniques to finite temperature and compact space, enabling the description of fermionic fields via bosonic fields on a circle, including zero modes.

Contribution

It develops a method to bosonize fermionic fields on a compact space at finite temperature, incorporating zero modes and extending previous approaches.

Findings

Constructed fermionic fields in terms of bosonic fields on a circle.

Extended thermofield-bosonization to finite temperature and compact space.

Included treatment of zero modes in the bosonization process.

Abstract

We develop the construction of fermionic fields in terms of bosonic ones to describe free and interaction models in the circle, using thermofielddynamics. The description in the case of finite temperature is developed for both normal modes and zero modes. The treatment extends the thermofield-bosonization for periodic space.