Unitarity and ultraviolet regularity in cosmology

Ivan Agullo, Abhay Ashtekar

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Quantum field theory in curved space-times is a well developed area in mathematical physics which has had important phenomenological applications to the very early universe. However, it is not commonly appreciated that on time-dependent space-times - including the simplest cosmological models - dynamics of quantum fields is not unitary in the standard sense. This issue is first explained with an explicit example, and it is then shown that a generalized notion of unitarity does hold. The generalized notion allows one to correctly pass to the Schrödinger picture starting from the Heisenberg picture used in the textbook treatments. Finally, we indicate how these considerations can be extended from simple cosmological models to general globally hyperbolic space-times.

Original languageEnglish (US)
Article number124010
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number12
DOIs
StatePublished - Jun 2 2015

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regularity
cosmology
hyperbolic coordinates
textbooks
dynamic models
universe
physics

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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Unitarity and ultraviolet regularity in cosmology. / Agullo, Ivan; Ashtekar, Abhay.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 91, No. 12, 124010, 02.06.2015.

Research output: Contribution to journalArticle

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