# Thermal equilibrium states for quantum fields on non-commutative spacetimes

March 05, 2015

Fully PoincarĂ© 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.

Keywords:

thermal quantum field theory, KMS states, QFT on non-commutative spaces