TY - JOUR

T1 - Large field inflation and gravitational entropy

AU - Kaloper, Nemanja

AU - Kleban, Matthew

AU - Lawrence, Albion

AU - Sloth, Martin S.

N1 - Funding Information:
Part of this work was carried out while A.L. was at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1066293. A.L. would like to thank the organizers of and participants in the "Primordial Physics" workshop for stimulating conversations on subjects related to this work. N.K. would like to thank CP3-Origins, University of Southern Denmark, and CCPP, NYU, for kind hospitality in the course of this work. We would like to thank A. Arvanitaki, A. Brown, G. D''Amico, M. Porrati, and G. Zahariade for useful discussions. N.K. is supported in part by the DOE Grant No. DE-SC0009999. A.L. is supported by the DOE Grant No. DE-SC0009987. M.S.S. is supported by the Lundbeck Foundation. M.K. is supported in part by the NSF through Grant No. PHY-1214302, and he acknowledges membership at the NYU-ECNU Joint Physics Research Institute in Shanghai.
Publisher Copyright:
© 2016 American Physical Society.

PY - 2016/2/8

Y1 - 2016/2/8

N2 - Large field inflation can be sensitive to perturbative and nonperturbative quantum corrections that spoil slow roll. A large number N of light species in the theory, which occur in many string constructions, can amplify these problems. One might even worry that in a de Sitter background, light species will lead to a violation of the covariant entropy bound at large N. If so, requiring the validity of the covariant entropy bound could limit the number of light species and their couplings, which in turn could severely constrain axion-driven inflation. Here we show that there is no such problem when we correctly renormalize models with many light species, taking the physical Planck scale to be Mpl2 NMUV2, where MUV is the cutoff for the quantum field theory coupled to semiclassical quantum gravity. The number of light species then cancels out of the gravitational entropy of de Sitter or near-de Sitter backgrounds at leading order. Working in detail with N scalar fields in de Sitter space, renormalized to one loop order, we show that the gravitational entropy automatically obeys the covariant entropy bound. Furthermore, while the axion decay constant is a strong coupling scale for the axion dynamics, we show that it is not in general the cutoff of 4d semiclassical gravity. After renormalizing the two point function of the inflaton, we note that it is also controlled by scales much below the cutoff. We revisit N-flation and Kachru-Kallosh-Linde-Trivedi-type compactifications in this light, and show that they are perfectly consistent with the covariant entropy bound. Thus, while quantum gravity might yet spoil large field inflation, holographic considerations in the semiclassical theory do not obstruct it.

AB - Large field inflation can be sensitive to perturbative and nonperturbative quantum corrections that spoil slow roll. A large number N of light species in the theory, which occur in many string constructions, can amplify these problems. One might even worry that in a de Sitter background, light species will lead to a violation of the covariant entropy bound at large N. If so, requiring the validity of the covariant entropy bound could limit the number of light species and their couplings, which in turn could severely constrain axion-driven inflation. Here we show that there is no such problem when we correctly renormalize models with many light species, taking the physical Planck scale to be Mpl2 NMUV2, where MUV is the cutoff for the quantum field theory coupled to semiclassical quantum gravity. The number of light species then cancels out of the gravitational entropy of de Sitter or near-de Sitter backgrounds at leading order. Working in detail with N scalar fields in de Sitter space, renormalized to one loop order, we show that the gravitational entropy automatically obeys the covariant entropy bound. Furthermore, while the axion decay constant is a strong coupling scale for the axion dynamics, we show that it is not in general the cutoff of 4d semiclassical gravity. After renormalizing the two point function of the inflaton, we note that it is also controlled by scales much below the cutoff. We revisit N-flation and Kachru-Kallosh-Linde-Trivedi-type compactifications in this light, and show that they are perfectly consistent with the covariant entropy bound. Thus, while quantum gravity might yet spoil large field inflation, holographic considerations in the semiclassical theory do not obstruct it.

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U2 - 10.1103/PhysRevD.93.043510

DO - 10.1103/PhysRevD.93.043510

M3 - Article

AN - SCOPUS:84959516816

SN - 2470-0010

VL - 93

JO - Physical Review D

JF - Physical Review D

IS - 4

M1 - 043510

ER -