2010/05/31 by Nirmalendu Acharyya, Sachindeo Vaidya · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Inertial frame of reference #Lorentz transformation #Massless particle #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Observer (physics) #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum field theory in curved spacetime #Spacetime #Unruh effect #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep09(2010)045
published in Journal of High Energy Physics 2010(9) (Springer Nature) · 19 pages. Typos corrected
arxiv created 2010/06/07 · openalex publication_date 2010/09/01 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 θ-dependent corrections.