English

Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime

High Energy Physics - Theory 2021-09-14 v4 General Relativity and Quantum Cosmology

Abstract

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in DD dimensional (D2)(D \geq 2) AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in 2D2D dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion.

Keywords

Cite

@article{arxiv.2009.08498,
  title  = {Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime},
  author = {Shahnewaz Ahmed and Mir Mehedi Faruk},
  journal= {arXiv preprint arXiv:2009.08498},
  year   = {2021}
}

Comments

35 pages, 6 figures