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arXiv · 1909.07111

Geometrized quantum Galileons

Lavinia Heisenberg·Christian F. Steinwachs
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Abstract

We investigate the renormalization structure of the scalar Galileon model in flat spacetime by calculating the one-loop divergences in a closed geometric form. The geometric formulation is based on the definition of an effective Galileon metric and allows to apply known heat-kernel techniques. The result for the one-loop divergences is compactly expressed in terms of curvature invariants of the effective Galileon metric and corresponds to a resummation of the divergent one-loop contributions of all n-point functions. The divergent part of the one-loop effective action therefore serves as generating functional for arbitrary n-point counterterms. We discuss our result within the Galileon effective field theory and give a brief outlook on extensions to more general Galileon models in curved spacetime.

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Lavinia Heisenberg, Christian F. Steinwachs. 2020-03-12. Geometrized quantum Galileons. https://doi.org/10.1088/1475-7516%2F2020%2F02%2F031

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