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Title: Riding on irrelevant operators

We investigate the stability of a class of derivative theories known as P(X) and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under quantum corrections at all loops in regions where the kinetic term is large compared to the strong coupling scale. This is the regime of interest for screening or Vainshtein mechanisms, and in in ationary models that rely on large kinetic terms. Next, we clarify the role played by the symmetries. While symmetries protect the form of the quantum corrections, theories equipped with more symmetries do not necessarily have a broader range of scales for which they are valid. We show this by deriving explicitly the regime of validity of the classical solutions for P(X) theories including Dirac- Born-Infeld (DBI) models, both in generic and for specific background field configurations. Indeed, we find that despite the existence of an additional symmetry, the DBI effective field theory has a regime of validity similar to an arbitrary P(X) theory. We explore the implications of our results for both early and late universe contexts. Conversely, when applied to static and spherical screening mechanisms, we deduce that the regimemore » of validity of typical power-law P(X) theories is much larger than that of DBI.« less
Authors:
 [1] ;  [1]
  1. Case Western Reserve Univ., Cleveland, OH (United States). CERCA/Department of Physics; Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)
Publication Date:
Grant/Contract Number:
SC0009946
Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 11; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Research Org:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; modified gravity; inflation; dark energy theory
OSTI Identifier:
1454782

de Rham, Claudia, and Ribeiro, Raquel H. Riding on irrelevant operators. United States: N. p., Web. doi:10.1088/1475-7516/2014/11/016.
de Rham, Claudia, & Ribeiro, Raquel H. Riding on irrelevant operators. United States. doi:10.1088/1475-7516/2014/11/016.
de Rham, Claudia, and Ribeiro, Raquel H. 2014. "Riding on irrelevant operators". United States. doi:10.1088/1475-7516/2014/11/016. https://www.osti.gov/servlets/purl/1454782.
@article{osti_1454782,
title = {Riding on irrelevant operators},
author = {de Rham, Claudia and Ribeiro, Raquel H.},
abstractNote = {We investigate the stability of a class of derivative theories known as P(X) and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under quantum corrections at all loops in regions where the kinetic term is large compared to the strong coupling scale. This is the regime of interest for screening or Vainshtein mechanisms, and in in ationary models that rely on large kinetic terms. Next, we clarify the role played by the symmetries. While symmetries protect the form of the quantum corrections, theories equipped with more symmetries do not necessarily have a broader range of scales for which they are valid. We show this by deriving explicitly the regime of validity of the classical solutions for P(X) theories including Dirac- Born-Infeld (DBI) models, both in generic and for specific background field configurations. Indeed, we find that despite the existence of an additional symmetry, the DBI effective field theory has a regime of validity similar to an arbitrary P(X) theory. We explore the implications of our results for both early and late universe contexts. Conversely, when applied to static and spherical screening mechanisms, we deduce that the regime of validity of typical power-law P(X) theories is much larger than that of DBI.},
doi = {10.1088/1475-7516/2014/11/016},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 11,
volume = 2014,
place = {United States},
year = {2014},
month = {11}
}