The renormalization of fluctuating branes, the Galileon and asymptotic safety
arXiv:1212.4073 · doi:10.1007/JHEP04(2013)036
Abstract
We consider the renormalization of d-dimensional hypersurfaces (branes) embedded in flat (d+1)-dimensional space. We parametrize the truncated effective action in terms of geometric invariants built from the extrinsic and intrinsic curvatures. We study the renormalization-group running of the couplings and explore the fixed-point structure. We find evidence for an ultraviolet fixed point similar to the one underlying the asymptotic-safety scenario of gravity. We also examine whether the structure of the Galileon theory, which can be reproduced in the nonrelativistic limit, is preserved at the quantum level.
15 pages, 1 figure; v3: equation 4.2 and consequent equations corrected
References in corpus (5)
Cited by in corpus (15)
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- Riding on irrelevant operators
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- Vacuum effective actions and mass-dependent renormalization in curved space
- Quantum corrections in Galileon theories
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- RG flow equations for the proper-vertices of the background effective average action
- Suppression of Quantum Corrections by Classical Backgrounds
- Double screening
- Vainshtein in the UV and a Wilsonian analysis of derivatively coupled scalars
- Renormalization Group Flow of Hexatic Membranes
- Non-perturbative quantum Galileon in the exact renormalization group
- Auxiliary fields approach to shift-symmetric theories: the derivative theory and the crumpled-to-flat transition of membranes at two-loop order
- Classical Solutions of Higher-Derivative Theories
- Quantum Corrections in Classicalon Theories