The Renormalization Group flow of unimodular f(R) gravity

Eichhorn, Astrid

doi:10.1007/jhep04(2015)096

Cited by 129 publications

(108 citation statements)

References 111 publications

(184 reference statements)

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“…In fact, not only the precise location of the NGFP is regulator dependent (as expected), but also the value of the critical exponents depends on the truncation strategy employed to solve the flow equation [12,50]. Moreover recent investigations based on unimodular gravity [51], and general arguments [52] suggest that the critical exponents are indeed real [53,54].…”

Section: Basic Formalismmentioning

confidence: 57%

Asymptotically safe inflation from quadratic gravity

Platania¹,

Bonanno²

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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Asymptotically Safe theories of gravity have recently received much attention. In this work we discuss a class of inflationary models derived from quantum-gravity modification of quadratic gravity according to the induced scaling around the non-Gaussian fixed point at very high energies. It is argued that the presence of a three dimensional ultraviolet critical surface generates operators of non-integer power of the type R 2−θ/2 in the effective Lagrangian, where θ > 0 is a critical exponent. The requirement of a successful inflationary model in agreement with the recent Planck 2015 data puts important constraints on the strenght of this new type of couplings.

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Section: Basic Formalismmentioning

confidence: 57%

Asymptotically safe inflation from quadratic gravity

Platania¹,

Bonanno²

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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“…We recall that in the case m = −1/d the correspondence between g µν and γ µν is not invertible, so that the calculation presented here cannot be strictly applied in that case. This case has been considered from different viewpoints in [39][40][41][42][43][44]. Our results are a strong motivation to further investigate the quantum properties of this theory.…”

Section: Discussionmentioning

confidence: 81%

Gauges and functional measures in quantum gravity I: Einstein theory

Ohta

Percacci

Pereira

2016

J. High Energ. Phys.

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We perform a general computation of the off-shell one-loop divergences in Einstein gravity, in a two-parameter family of path integral measures, corresponding to different ways of parametrizing the graviton field, and a two-parameter family of gauges. Trying to reduce the gauge-and measure-dependence selects certain classes of measures and gauges respectively. There is a choice of two parameters (corresponding to the exponential parametrization and the partial gauge condition that the quantum field be traceless) that automatically eliminates the dependence on the remaining two parameters and on the cosmological constant. We observe that the divergences are invariant under a Z 2 "duality" transformation that (in a particularly important special case) involves the replacement of the densitized metric by a densitized inverse metric as the fundamental quantum variable. This singles out a formulation of unimodular gravity as the unique "self-dual" theory in this class.

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“…4.3 we used the generalised Legendre transform relation (33) to study the RG evolution of the corresponding exact solution U (y, t) to the Wilson/Polchinski LPA flow equation (6). Here the high temperature fixed point is given by a genuine fixed point of the flow, and this 'compactification' leads to better control of the corresponding quantised couplings h 2n (t) in the expansion (32).…”

Section: Discussionmentioning

confidence: 99%

“…The exact solution U (y, t) of the flow equation (6) with this boundary condition, is then given by (33).…”

Section: Couplings In the Wilsonian Effective Actionmentioning

confidence: 99%

“…However this is also an area where there is little guidance from current experimental observation or other techniques, and therefore one must place particular reliance on a rigorous understanding of the mathematical structure that the exact RG exposes, in so far as this is possible. This is especially so with recent work on "functional truncations" [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Fate of nonpolynomial interactions in scalar field theory

Bridle

Morris

2016

Phys. Rev. D

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We present an exact RG (renormalization group) analysis of O(N )-invariant scalar field theory about the Gaussian fixed point. We prove a series of statements that taken together show that the non-polynomial eigen-perturbations found in the LPA (local potential approximation) at the linearised level, do not lead to new interactions, i.e. enlarge the universality class, neither in the LPA or treated exactly. Non-perturbatively, their RG flow does not emanate from the fixed point. For the equivalent Wilsonian effective action they can be re-expressed in terms of the usual couplings to polynomial interactions, which can furthermore be tuned to be as small as desired for all finite RG time. For the infrared cutoff Legendre effective action, this can also be done for the infrared evolution. We explain why this is nevertheless consistent with the fact that the large field behaviour is fixed by these perturbations.arXiv:1605.06075v3 [hep-th]

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The Renormalization Group flow of unimodular f(R) gravity

Cited by 129 publications

References 111 publications

Asymptotically safe inflation from quadratic gravity

Asymptotically safe inflation from quadratic gravity

Gauges and functional measures in quantum gravity I: Einstein theory

Fate of nonpolynomial interactions in scalar field theory

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