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Universality and ambiguities of the conformal anomaly

M Asorey1, E V Gorbar2,3 and I L Shapiro2,4

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The one-loop structure of the trace anomaly is investigated using different regularizations and renormalization schemes: dimensional, proper time and Pauli–Villars. The universality of this anomaly is analysed from a very general perspective. The Euler and Weyl terms of the anomalous trace of the stress tensor are absolutely universal. The pure derivative squR term is shown to be universal only if the regularization breaks conformal symmetry softly. If the breaking of conformal symmetry by the regularization method is hard the coefficient of this term might become arbitrary which points out the presence of an ambiguous \int\sqrt{-g} R^2 term in the effective quantum action. These ambiguities arise in some prescriptions of dimensional and Pauli–Villars regularizations. We discuss the implications of these results for anomaly-induced inflationary scenarios and AdS/CFT correspondence.


PACS

04.62.+v Quantum fields in curved spacetime

11.10.Gh Renormalization

11.30.Qc Spontaneous and radiative symmetry breaking

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

81T20 Quantum field theory on curved space backgrounds

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 1 (7 January 2004)

Received 1 August 2003

Published 20 November 2003



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