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arXiv · 1510.03734

Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity

Kin-ya Oda·Masatoshi Yamada
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Abstract

We study the fixed point structure of the Higgs-Yukawa model, with its scalar being non-minimally coupled to the asymptotically safe gravity, using the functional renormalization group. We have obtained the renormalization group equations for the cosmological and Newton constants, the scalar mass-squared and quartic coupling constant, and the Yukawa and non-minimal coupling constants, taking into account all the scalar, fermion, and graviton loops. We find that switching on the fermionic quantum fluctuations makes the non-minimal coupling constant irrelevant around the Gaussian-matter fixed point with the asymptotically safe gravity.

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Kin-ya Oda, Masatoshi Yamada. 2017-05-15. Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity. https://doi.org/10.1088/0264-9381%2F33%2F12%2F125011

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