Uniformly Accelerated Observer in Moyal Spacetime

TL;DR

This paper explores how uniformly accelerated observers perceive quantum fields in noncommutative Moyal spacetime, revealing new features like non-thermal vacua and modified distributions due to spacetime noncommutativity.

Contribution

It extends the concept of accelerated frames to noncommutative spacetime and analyzes the resulting quantum field behavior and vacuum properties.

Findings

Chiral massless fields behave differently than massive fields in noncommutative spacetime.

The inertial vacuum is not a thermal state for the accelerated observer in Moyal spacetime.

Bose-Einstein distribution receives $ heta$-dependent corrections in this setting.

Abstract

In Minkowski space, an accelerated reference frame may be defined as one that is related to an inertial frame by a sequence of instantaneous Lorentz transformations. Such an accelerated observer sees a causal horizon, and the quantum vacuum of the inertial observer appears thermal to the accelerated observer, also known as the Unruh effect. We argue that an accelerating frame may be similarly defined (i.e. as a sequence of instantaneous Lorentz transformations) in noncommutative Moyal spacetime, and discuss the twisted quantum field theory appropriate for such an accelerated observer. Our analysis shows that there are several new features in the case of noncommutative spacetime: chiral massless fields in $(1+1)$ dimensions have a qualitatively different behavior compared to massive fields. In addition, the vacuum of the inertial observer is no longer an equilibrium thermal state of the accelerating observer, and the Bose-Einstein distribution acquires $\theta$-dependent corrections.