Thermofield dynamics and twisted Poincar\'e symmetry on Moyal space-time

TL;DR

This paper develops a thermofield approach for quantum field theories on Moyal spacetime that preserves twisted Poincaré symmetry, exploring its implications for finite-temperature quantum phenomena.

Contribution

It introduces a thermofield framework compatible with twisted Poincaré symmetry on Moyal space, extending finite-temperature QFT to noncommutative geometries.

Findings

Preserves twisted Poincaré symmetry in thermofield formalism.

Analyzes implications for finite-temperature quantum field theories.

Provides a foundation for studying thermal effects in noncommutative spacetimes.

Abstract

On Moyal space-time, one can implement twisted Poincar\'e symmetry with the resultant modification of symmetrization and anti-symmetrization postulates for bosons and fermions. We develop the thermofield approach of Umezawa and Takahashi on such a spacetime preserving the twisted Poincar\'e symmetry of the underlying quantum field theory(qft). Implications of this twisted Poincar\'e symmetry for qft's at finite temperature are pointed out.