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Quantum vacuum and accelerated expansion

Published online by Cambridge University Press:  30 May 2009

B. Broda*
Affiliation:
Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90–236 Łódź, Poland
M. Szanecki
Affiliation:
Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90–236 Łódź, Poland
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Abstract

A new approach to extraction of quantum vacuum energy, in the context of the accelerated expansion, is proposed, and it is shown that experimentally realistic orders of values can be derived. The idea has been implemented in the framework of the Friedmann–Lemaître–Robertson–Walker geometry in the language of the effective action in the relativistic formalism of Schwinger's proper time and Seeley–DeWitt's heat kernel expansion.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2009

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References

Ball, R.D., 1989, Chiral Gauge Theory, Phys. Rep., 182, 1 CrossRef
Birrell, N.D., & Davies, P.C.W., 1982, Quantum Fields in Curved Space, Chapt. 6, (Cambridge University Press)
Broda, B., Bronowski, P., Ostrowski, M., & Szanecki, M., 2008, Vacuum Driven Accelerated Expansion, Ann. Phys. (Berlin), 17, 855 [arXiv:0708.0530] CrossRef
Carroll, S.M., 2001, The Cosmological Constant, Liv. Rev. Rel., 4 [arXiv:astro-ph/0004075]
DeWitt, B.S., 1975, Quantum Field Theory in Curved Spacetime, Phys. Rep., 19, 295 CrossRef
DeWitt, B.S., 2003, The Global Approach to Quantum Field Theory, Chapt. 27 (Oxford Science Publications)
Padmanabhan, T., 2003, Cosmological Constant–the Weight of the Vacuum, Phys. Rep., 380, 235 [arXiv:hep-th/0212290] CrossRef
Padmanabhan, T., 2006, Dark Energy: Mystery of the Millennium, Albert Einstein Century International Conference, November 2006 AIP Conf. Proc., 861, 179 [arXiv:astro-ph/0603114]
Perlmutter, S., et al., 1999, Measurements of Ω and Λ from 42 High-Redshift Supernovae, ApJ, 517, 565 [arXiv:astro-ph/9812133] CrossRef
Riess, A.G., et al., 1998, Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant, ApJ, 116, 1009 [arXiv:astro-ph/9805201] CrossRef
Shapiro, I.L., 2007, Effective Action of Vacuum: Semiclassical Approach, Chapt. 3.1 [arXiv:0801.0216]
Virey, J.M., Taxil, P., Tilquin, A., et al., 2005, On the Determination of the Deceleration Parameter from Supernovae Data, Phys. Rev. D, 72, 061302 [astro-ph/0502163] CrossRef
Volovik, G.E., 2005, Cosmological Constant and Vacuum Energy, Ann. Phys. (Leipzig), 14, 165 [arXiv:gr-qc/0405012] CrossRef
Volovik, G.E., 2006, Vacuum Energy: Myths and Reality, Int. J. Mod. Phys. D, 15, 1987, [arXiv:gr-qc/0604062] CrossRef
Weinberg, S., 1989, The Cosmological Constant Problem, Rev. Mod. Phys., 61, 1 CrossRef
Zel`dovich, Y.B., 1967 Cosmological Constant and Elementary Particles, JETP Lett., 6, 316, translated from Zh. Eksp. Teor. Fiz., Pis`ma Redaktsiyu, 6, 883