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Classical and Quantum Gravity
Article
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arXiv.org e-Print Archive
Preprint . 2003
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Classical and Quantum Gravity
Article . 2004 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2003
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On the renormalization group for the interacting massive scalar field theory in curved space

On the renormalization group for the interacting massive scalar field theory in curved space.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 Apr 2004Embargo end date: 01 Jan 2003Publisher:IOP PublishingJournal:Classical and Quantum Gravity, volume 21, pages 2,281-2,290 (issn: 0264-9381, eissn: 1361-6382, Copyright policy )Funded by:FCT | D4
Authors: de Berredo-Peixoto, Guilherme; Gorbar, Eduard V.; Shapiro, Ilya L.;

doi: 10.1088/0264-9381/21/9/005 , 10.48550/arxiv.hep-th/0311229

arXiv: hep-th/0311229

On the renormalization group for the interacting massive scalar field theory in curved space

Abstract

The effective action for the interacting massive scalar field in curved space-time is derived using the heat-kernel method. Starting from this effective action, we establish a smooth quadratic form of the low-energy decoupling for the four-scalar coupling constant and for the nonminimal interaction parameter. The evolution of this parameter from the conformal value 1/6 at high energies down to the IR regime is investigated within the two toy models with negative and positive four-scalar coupling constants.

LaTeX, 12 pages, 4 figures

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Keywords

Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, Methods of quantum field theory in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Quantum field theory on curved space or space-time backgrounds, General Relativity and Quantum Cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Average
Top 10%
Average
Green
bronze
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