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arXiv · 1212.4073

The renormalization of fluctuating branes, the Galileon and asymptotic safety

A. Codello·N. Tetradis·O. Zanusso
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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.

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A. Codello, N. Tetradis, O. Zanusso. 2012-12-17. The renormalization of fluctuating branes, the Galileon and asymptotic safety. https://doi.org/10.1007/jhep04(2013)036

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