Quantum corrections in Galileon theories

Brouzakis, N.; Codello, Alessandro; Tetradis, N.; Zanusso, Omar

doi:10.1103/physrevd.89.125017

Cited by 41 publications

(55 citation statements)

References 37 publications

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“…On an inhomogeneous background, quantum corrections to Galilean theories are suppressed by a scale that increases with increasing inhomogeneities [32,[35][36][37][38][39][40][41][42].…”

Section: Jcap12(2014)009mentioning

confidence: 99%

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Germani¹,

Watanabe²,

Wintergerst³

2014

J. Cosmol. Astropart. Phys.

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In this paper we show that the Germani-Kehagias model of Higgs inflation (or New Higgs Inflation), where the Higgs boson is kinetically non-minimally coupled to the Einstein tensor is in perfect compatibility with the latest Planck and BICEP2 data. Moreover, we show that the tension between the Planck and BICEP2 data can be relieved within the New Higgs inflation scenario by a negative running of the spectral index. Regarding the unitarity of the model, we argue that it is unitary throughout the evolution of the Universe. Weak couplings in the Higgs-Higgs and Higgs-graviton sectors are provided by a large background dependent cut-off scale during inflation. In the same regime, the W and Z gauge bosons acquire a very large mass, thus decouple. On the other hand, if they are also non-minimally coupled to the Higgs boson, their effective masses can be enormously reduced. In this case, the W and Z bosons are no longer decoupled. After inflation, the New Higgs model is well approximated by a quartic Galileon with a renormalizable potential. We argue that this can unitarily create the right conditions for inflation to eventually start.

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“…On an inhomogeneous background, quantum corrections to Galilean theories are suppressed by a scale that increases with increasing inhomogeneities [32,[35][36][37][38][39][40][41][42].…”

Section: Jcap12(2014)009mentioning

confidence: 99%

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Germani¹,

Watanabe²,

Wintergerst³

2014

J. Cosmol. Astropart. Phys.

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“…Focussing our attention on phenomenologically interesting effective actions it is important to mention that non-local actions are promising candidates to describe dark energy [17,19,24,25], as well as satisfying templates to reconstruct the effective action induced by dynamical triangulations or asymptotic safety [26]. The applications might even extend to Galileon models, especially if promoted to their covariant counterparts [27,28] with form-factors that act also on extrinsic curvatures [29]. The most recent results on the renormalization of Newton's constant in a massive scheme point to the necessity of connecting the renormalization of the operators R, ✷R and R 2 [2,3], and that the couplings could be generalized to ✷-dependent functions, a fact which is reminiscent of previous analyses by Avramidi [30] and by Hamber and Toriumi [31,32].…”

Section: Introductionmentioning

confidence: 99%

Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space

2019

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We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the curvatures. We discuss the importance of these form-factors in the construction of mass-dependent beta functions for the Newton's constant and the other gravitational couplings.

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“…Various aspects of the scalar Galileon at the quantum level have been studied previously in [7,27,[35][36][37][38][39][40][41][42][43][44]. The derivation of counterterms in the MS scheme only requires the calculation of the ultraviolet divergent (UV) part for which there are very efficient specialized methods.…”

mentioning

confidence: 99%

Geometrized quantum Galileons

Heisenberg

Steinwachs

2020

J. Cosmol. Astropart. Phys.

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We investigate the renormalization structure of the scalar Galileon model in flat spacetime by calculating the one-loop divergences in a closed geometric form. The geometric formulation is based on the definition of an effective Galileon metric and allows to apply known heat-kernel techniques. The result for the one-loop divergences is compactly expressed in terms of curvature invariants of the effective Galileon metric and corresponds to a resummation of the divergent one-loop contributions of all n-point functions. The divergent part of the one-loop effective action therefore serves as generating functional for arbitrary n-point counterterms. We discuss our result within the Galileon effective field theory and give a brief outlook on extensions to more general Galileon models in curved spacetime.Keywords: modified gravity, quantum field theory in curved spacetime, effective field theory, physcis of the early universe arXiv:1909.07111v1 [hep-th]

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Quantum corrections in Galileon theories

Cited by 41 publications

References 37 publications

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space

Geometrized quantum Galileons

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