Geometrized quantum Galileons
Abstract
We investigate the renormalization structure of the scalar Galileon model in flat spacetime by calculating the oneloop divergences in a closed geometric form. The geometric formulation is based on the definition of an effective Galileon metric and allows to apply known heatkernel techniques. The result for the oneloop divergences is compactly expressed in terms of curvature invariants of the effective Galileon metric and corresponds to a resummation of the divergent oneloop contributions of all $n$point functions. The divergent part of the oneloop 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.
 Publication:

arXiv eprints
 Pub Date:
 September 2019
 arXiv:
 arXiv:1909.07111
 Bibcode:
 2019arXiv190907111H
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 23 pages, no figures