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arXiv · 2101.07271

Non-perturbative quantum Galileon in the exact renormalization group

Christian F. Steinwachs
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Abstract

We investigate the non-perturbative renormalization group flow of the scalar Galileon model in flat space. We discuss different expansion schemes of the Galileon truncation, including a heat-kernel based derivative expansion, a vertex expansion in momentum space and a curvature expansion in terms of a covariant geometric formulation. We find that the Galileon symmetry prevents a quantum induced renormalization group running of the Galileon couplings. Consequently, the Galileon truncation only features a trivial Gaussian fixed point.

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Christian F. Steinwachs. 2021-01-18. Non-perturbative quantum Galileon in the exact renormalization group. https://doi.org/10.1088/1475-7516/2021/04/038

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