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arXiv · 1310.0187

Quantum corrections in Galileon theories

N. Brouzakis·A. Codello·N. Tetradis·O. Zanusso
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Abstract

We calculate the one-loop quantum corrections in the cubic Galileon theory, using cutoff regularization. We confirm the expected form of the one-loop effective action and that the couplings of the Galileon theory do not get renormalized. However, new terms, not included in the tree-level action, are induced by quantum corrections. We also consider the one-loop corrections in an effective brane theory, which belongs to the Horndeski or generalized Galileon class. We find that new terms are generated by quantum corrections, while the tree-level couplings are also renormalized. We conclude that the structure of the generalized Galileon theories is altered by quantum corrections more radically than that of the Galileon theory.

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N. Brouzakis, A. Codello, N. Tetradis, O. Zanusso. 2013-10-01. Quantum corrections in Galileon theories. https://doi.org/10.1103/physrevd.89.125017

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