Uniformly accelerated observer in Moyal spacetime Article

First Online: 14 September 2010 Received: 09 June 2010 Revised: 28 July 2010 Accepted: 16 August 2010 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 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 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.

Keywords Non-Commutative Geometry Thermal Field Theory Space-Time Symmetries

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Authors and Affiliations 1. Centre for High Energy Physics Indian Institute of Science Bangalore India