Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time

Details Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvd..24..275r&link_type=abstract

Physical Review D (Particles and Fields), Volume 24, Issue 2, 15 July 1981, pp.275-289

Mathematics

Logic

13

Scientific paper

As an alternative to existing quantization schemes, the self-adjointness of the classical field equations is employed as the basic principle for the quantization of a scalar field of arbitrary mass m. The results thus obtained in de Sitter space differ markedly from previous ones based on the so-called Euclidean approach to quantum field theory. It is argued that if m2>(4R2)-1 (R is the de Sitter radius) a geodesic observer will detect a constant flux of particles coming from the cosmological event horizon. In contrast to the result of Gibbons and Hawking, however, the spectrum is nonthermal. For m2<(4R2)-1, but except for a discrete mass spectrum containing m2=0, there is a catastrophic vacuum instability related to the Schiff-Snyder-Weinberg effect in electrostatics. As the Feynman propagator of our approach does not obey the Hadamard-DeWitt expansion, a modified regularization scheme has to be applied to the vacuum expectation value of the stress-energy tensor. Our result differs from that of Dowker and Critchley and in particular does not show the standard trace anomaly for m2=0. For (the covering space of) anti-de Sitter space the self-adjointness condition eliminates the pathological effects of the violation of global hyperbolicity and amounts essentially to one of the "reflective boundary conditions" introduced by Avis et al. Quantization is straightforward and no vacuum instability is implied, but it is argued that the Feynman propagator cannot be of the Hadamard form despite the static character of space-time.

Affiliated with

Also associated with

No associations

Rating

Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-adjointness-based quantum field theory in de Sitter and anti-de Sitter space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1690449