Varying the Unruh Temperature in Integrable Quantum Field Theories

TL;DR

This paper introduces a new computational method to analyze how quantum field theories with factorized scattering respond to changes in Unruh temperature, by deforming models while preserving their S-matrix, and applies it to the Ising and Sinh-Gordon models.

Contribution

A novel deformation scheme for integrable QFTs that maintains the S-matrix and allows explicit analysis of Unruh temperature variations.

Findings

Deformation parameter  acts as an inverse temperature in the models.

Form factor approach is extended to deformed systems.

Explicit examples include deformed Ising and Sinh-Gordon models.

Abstract

A computational scheme is developed to determine the response of a quantum field theory (QFT) with a factorized scattering operator under a variation of the Unruh temperature. To this end a new family of integrable systems is introduced, obtained by deforming such QFTs in a way that preserves the bootstrap S-matrix. The deformation parameter \beta plays the role of an inverse temperature for the thermal equilibrium states associated with the Rindler wedge, \beta = 2\pi being the QFT value. The form factor approach provides an explicit computational scheme for the \beta \neq 2\pi systems, enforcing in particular a modification of the underlying kinematical arena. As examples deformed counterparts of the Ising model and the Sinh-Gordon model are considered.