Thermal Quantum Fields without Cut-offs in 1+1 Space-time Dimensions

TL;DR

This paper develops a method to construct interacting thermal quantum fields in 1+1 dimensions without the need for cut-offs, extending previous foundational work in the field.

Contribution

It introduces a new approach to build thermal quantum fields in 1+1 dimensions that avoids cut-offs, advancing the mathematical understanding of quantum field theory at positive temperature.

Findings

Successful construction of interacting thermal quantum fields without cut-offs

Extension of Klein and Landau's prior work to new settings

Provides a rigorous framework for thermal quantum field models

Abstract

We construct interacting quantum fields in 1+1 dimensional Minkowski space, representing neutral scalar bosons at positive temperature. Our work is based on prior work by Klein and Landau and Hoegh-Krohn