Journal of High Energy Physics

, 2010:45

Uniformly accelerated observer in Moyal spacetime


DOI: 10.1007/JHEP09(2010)045

Cite this article as:
Acharyya, N. & Vaidya, S. J. High Energ. Phys. (2010) 2010: 45. doi:10.1007/JHEP09(2010)045


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 space-time: 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 θ-dependent corrections.


Non-Commutative GeometryThermal Field TheorySpace-Time Symmetries

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Centre for High Energy PhysicsIndian Institute of ScienceBangaloreIndia