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  Nonlocal Quantum Effective Actions in Weyl-Flat Spacetimes

Bautista, T., Benevides, A., & Dabholkar, A. (2018). Nonlocal Quantum Effective Actions in Weyl-Flat Spacetimes. Journal of high energy physics: JHEP, 2018(06): 055. doi:10.1007/JHEP0(2018)055.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-250A-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E851-D
Genre: Journal Article

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 Creators:
Bautista, Teresa1, Author              
Benevides, André, Author
Dabholkar, Atish, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite $N$ corrections in holography. We describe how the quantum effective actions summarizing these effects can be computed efficiently for Weyl-flat metrics by integrating the Weyl anomaly or, equivalently, the local renormalization group equation. This method relies only on the local Schwinger-DeWitt expansion of the heat kernel and allows for a re-summation of leading large logarithms in situations where the Weyl factor changes by several e-foldings. As an illustration, we obtain the quantum effective action for the Yang-Mills field coupled to massless matter, and the self-interacting massless scalar field. Our action reduces to the nonlocal action obtained using the Barvinsky-Vilkovisky covariant perturbation theory in the regime $R^{2} \ll \nabla^{2} R $ for a typical curvature scale $R$, but has a greater range of validity effectively re-summing the covariant perturbation theory to all orders in curvatures. In particular, it is applicable also in the opposite regime $R^{2} \gg \nabla^{2} R$, which is often of interest in cosmology.

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 Dates: 2017-10-3120172018
 Publication Status: Published in print
 Pages: 24 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1711.00135
URI: http://arxiv.org/abs/1711.00135
DOI: 10.1007/JHEP0(2018)055
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (06) Sequence Number: 055 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002