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

被引：0
作者：
David Y.-J. Chu
Karl Jansen
Bastian Knippschild
C.-J. David Lin
机构：
[1] National Chiao-Tung University,Department of Electrophysics
[2] NIC,HISKP
[3] DESY Zeuthen,Institute of Physics
[4] Universität Bonn,Centre for High Energy Physics
[5] National Chiao-Tung University,undefined
[6] Chung-Yuan Christian University,undefined
来源：
Journal of High Energy Physics | / 2019卷
关键词：
Lattice Quantum Field Theory; Renormalization Group;
D O I：
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摘要：
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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