English

Renormalization and a non-adiabatic vacuum choice in a radiation-dominated universe

General Relativity and Quantum Cosmology 2022-04-13 v1

Abstract

Vacuum and particles can be naturally defined in the adiabatic regime of an expanding universe. In general, however, there is no preferred choice of a vacuum state, unless the spacetime background possesses special symmetries. In the absence of symmetries the standard viewpoint is to construct distinguished adiabatic states permitting renormalizability of the stress-energy tensor. We study a special non-adiabatic vacuum for a massive scalar field in a radiation-dominated universe defined by imposing early-times conformal symmetry. We show that this state is consistent with renormalization, despite its ultraviolet behaviour is not the conventional one due to the emergence of oscillatory terms.

Keywords

Cite

@article{arxiv.2204.05404,
  title  = {Renormalization and a non-adiabatic vacuum choice in a radiation-dominated universe},
  author = {Pau Beltrán-Palau and Sergi Nadal-Gisbert and José Navarro-Salas and Silvia Pla},
  journal= {arXiv preprint arXiv:2204.05404},
  year   = {2022}
}

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11 pages