Uniformly accelerated observer in Moyal spacetime
 Nirmalendu Acharyya,
 Sachindeo Vaidya
 … show all 2 hide
Rent the article at a discount
Rent now* Final gross prices may vary according to local VAT.
Get AccessAbstract
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 BoseEinstein distribution acquires θdependent corrections.
 Doplicher, S, Fredenhagen, K, Roberts, JE (1995) The Quantum structure of spacetime at the Planck scale and quantum fields. Commun. Math. Phys. 172: pp. 187 CrossRef
 D. Bahns, S. Doplicher, K. Fredenhagen and G. Piacitelli, Quantum Geometry on Quantum Spacetime: Distance, Area and Volume Operators, arXiv:1005.2130 [SPIRES].
 Hughes, RJ (1985) Uniform acceleration and the quantum field theory vacuum, I. Annals Phys. 162: pp. 1 CrossRef
 Crispino, LCB, Higuchi, A, Matsas, GEA (2008) The Unruh effect and its applications. Rev. Mod. Phys. 80: pp. 787 CrossRef
 Aschieri, P (2005) A gravity theory on noncommutative spaces. Class. Quant. Grav. 22: pp. 3511 CrossRef
 Chaichian, M, Kulish, PP, Nishijima, K, Tureanu, A (2004) On a Lorentzinvariant interpretation of noncommutative spacetime and its implications on noncommutative QFT. Phys. Lett. B 604: pp. 98
 J. Wess, Deformed coordinate spaces: Derivatives, lectures given at BW 2003 Workshop on Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model: Perspectives of Balkans Collaboration, Vrnjacka Banja, Serbia, August 29–September 2 2003 hepth/0408080 [SPIRES].
 Balachandran, AP, Mangano, G, Pinzul, A, Vaidya, S (2006) Spin and statistics on the GroenwaldMoyal plane: Pauliforbidden levels and transitions. Int. J. Mod. Phys. A 21: pp. 3111
 Balachandran, AP, Govindarajan, TR, Mangano, G, Pinzul, A, Qureshi, BA, Vaidya, S (2007) Statistics and UVIR mixing with twisted Poincar´e invariance. Phys. Rev. D 75: pp. 045009
 Balachandran, AP, Pinzul, A, Qureshi, BA (2006) UVIR Mixing in NonCommutative Plane. Phys. Lett. B 634: pp. 434
 Majid, S (1995) Foundations of Quantum Group Theory. Cambridge University Press, Cambridge U.K. CrossRef
 Grosse, H (1979) On the construction of Möller operators for the nonlinear schrodinger equation. Phys. Lett. B 86: pp. 267
 Zamolodchikov, AB, Zamolodchikov, AlB (1979) Factorized Smatrices in two dimensions as the exact solutions of certain relativistic quantum field theory models. Annals Phys. 120: pp. 253 CrossRef
 Faddeev, LD (1980) Quantum completely integral models of field theory. Sov. Sci. Rev. C 1: pp. 107
 Takagi, S (1986) Vacuum Noise And Stress Induced By Uniform Accelerator: HawkingUnruh Effect In Rindler Manifold Of Arbitrary Dimensions. Prog. Theor. Phys. Suppl. 88: pp. 1 CrossRef
 Grosse, H, Lechner, G (2007) WedgeLocal Quantum Fields and Noncommutative Minkowski Space. JHEP 11: pp. 012 CrossRef
 Wienberg, S (1995) The Quantum Theory of Fields, Volume I. Cambridge University Press, Cambridge U.K.
 Bisognano, JJ, Wichmann, EH (1976) On The Duality Condition For Quantum Fields. J. Math. Phys. 17: pp. 303 CrossRef
 Bisognano, JJ, Wichmann, EH (1975) On The Duality Condition For A Hermitian Scalar Field. J. Math. Phys. 16: pp. 985 CrossRef
 Sewell, GL (1982) Quantum fields on manifolds: PCT and gravitationally induced thermal states. Annals Phys. 141: pp. 201 CrossRef
 Fulling, SA, Ruijsenaars, SNM (1987) Temperature, periodicity, and horizons. Phys. Rept. 152: pp. 135 CrossRef
 Gerlach, UH (1988) Minkowski Bessel modes. Phys. Rev. D 38: pp. 514
 Title
 Uniformly accelerated observer in Moyal spacetime
 Journal

Journal of High Energy Physics
2010:45
 Online Date
 September 2010
 DOI
 10.1007/JHEP09(2010)045
 Online ISSN
 10298479
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 NonCommutative Geometry
 Thermal Field Theory
 SpaceTime Symmetries
 Industry Sectors
 Authors

 Nirmalendu Acharyya ^{(1)}
 Sachindeo Vaidya ^{(1)}
 Author Affiliations

 1. Centre for High Energy Physics, Indian Institute of Science, Bangalore, 560012, India