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arXiv · 1611.00466

Finite Size Scaling of the Higgs-Yukawa Model near the Gaussian Fixed Point

David Y. -J. Chu·Karl Jansen·Bastian Knippschild·C. -J. David Lin·Attila Nagy
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Abstract

We study the scaling properties of Higgs-Yukawa models. Using the technique of Finite-Size Scaling, we are able to derive scaling functions that describe the observables of the model in the vicinity of a Gaussian fixed point. A feasibility study of our strategy is performed for the pure scalar theory in the weak-coupling regime. Choosing the on-shell renormalisation scheme gives us an advantage to fit the scaling functions against lattice data with only a small number of fit parameters. These formulae can be used to determine the universality of the observed phase transitions, and thus play an essential role in future investigations of Higgs-Yukawa models, in particular in the strong Yukawa coupling region.

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David Y. -J. Chu, Karl Jansen, Bastian Knippschild, C. -J. David Lin, Attila Nagy. 2016-11-02. Finite Size Scaling of the Higgs-Yukawa Model near the Gaussian Fixed Point. https://arxiv.org/abs/1611.00466

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