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Title: Vacuum energy and spectral function sum rules

Abstract

We reformulate the problem of the cancellation of the ultraviolet divergencies of the vacuum energy, particularly important at the cosmological level, in terms of a saturation of spectral function sum rules which leads to a set of conditions on the spectrum of the fundamental theory. We specialize the approach to both Minkowski and de Sitter space-times and investigate some examples.

Authors:
; ; ;  [1];  [2];  [3]
  1. Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna (Italy)
  2. (Russian Federation)
  3. (Italy)
Publication Date:
OSTI Identifier:
21020356
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.083514; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; MINKOWSKI SPACE; QUANTUM FIELD THEORY; SPACE-TIME; SPECTRAL FUNCTIONS; SUM RULES; ULTRAVIOLET DIVERGENCES; VACUUM STATES

Citation Formats

Kamenshchik, Alexander Y., Tronconi, Alessandro, Vacca, Gian Paolo, Venturi, Giovanni, L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, and Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna. Vacuum energy and spectral function sum rules. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.083514.
Kamenshchik, Alexander Y., Tronconi, Alessandro, Vacca, Gian Paolo, Venturi, Giovanni, L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, & Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna. Vacuum energy and spectral function sum rules. United States. doi:10.1103/PHYSREVD.75.083514.
Kamenshchik, Alexander Y., Tronconi, Alessandro, Vacca, Gian Paolo, Venturi, Giovanni, L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, and Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna. Sun . "Vacuum energy and spectral function sum rules". United States. doi:10.1103/PHYSREVD.75.083514.
@article{osti_21020356,
title = {Vacuum energy and spectral function sum rules},
author = {Kamenshchik, Alexander Y. and Tronconi, Alessandro and Vacca, Gian Paolo and Venturi, Giovanni and L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow and Dipartimento di Fisica and INFN, Via Irnerio 46, 40126 Bologna},
abstractNote = {We reformulate the problem of the cancellation of the ultraviolet divergencies of the vacuum energy, particularly important at the cosmological level, in terms of a saturation of spectral function sum rules which leads to a set of conditions on the spectrum of the fundamental theory. We specialize the approach to both Minkowski and de Sitter space-times and investigate some examples.},
doi = {10.1103/PHYSREVD.75.083514},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}