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arXiv · 1811.05667

Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point

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

We analyse finite-size scaling behaviour of a four-dimensional Higgs-Yukawa model near the Gaussian infrared fixed point. Through improving the mean-field scaling laws by solving one-loop renormalisation group equations, the triviality property of this model can be manifested in the volume-dependence of moments of the scalar-field zero mode. The scaling formulae for the moments are derived in this work with the inclusion of the leading-logarithmic corrections. To test these formulae, we confront them with data from lattice simulations in a simpler model, namely the O(4) pure scalar theory, and find numerical evidence of good agreement. Our results of the finite-size scaling can in principle be employed to establish triviality of Higgs-Yukawa models, or to search for alternative scenarios in studying their fixed-point structure, if sufficiently large lattices can be reached.

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David Y. -J Chu, Karl Jansen, Bastian Knippschild, C. -J. David Lin. 2018-11-14. Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point. https://doi.org/10.1007/jhep01(2019)110

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