Thermal equilibrium states for quantum fields on non-commutative spacetimes

TL;DR

This paper explores the thermal states of quantum fields on non-commutative spacetime, revealing significant differences from traditional quantum field theories on both commutative and non-covariant non-commutative spacetimes.

Contribution

It introduces the study of thermal representations of covariant quantum field theories on non-commutative Moyal Minkowski spacetime, highlighting their distinct properties from existing models.

Findings

Thermal states on non-commutative spacetime differ markedly from those on commutative spacetime.

Thermal representations on non-commutative spacetime are unique compared to non-covariant models.

Work is ongoing to fully characterize these thermal states.

Abstract

Fully Poincar\'e covariant quantum field theories on non-commutative Moyal Minkowski spacetime so far have been considered in their vacuum representations, i.e. at zero temperature. Here we report on work in progress regarding their thermal representations, corresponding to physical states at non-zero temperature, which turn out to be markedly different from both, thermal representations of quantum field theory on commutative Minkowski spacetime, and such representations of non-covariant quantum field theory on Moyal Minkowski space with a fixed deformation matrix.