2018/11/30 by David Y. -J Chu, Karl Jansen, Bastian Knippschild +1 · 1 citation
Physics and Astronomy · #hep-lat #hep-ph
paper · pdf · doi:10.1007/jhep01(2019)110
published as JHEP01 (2019) 110 · 20 pages, 5 figures; minor revision with typos corrected and clarification added; version published in JHEP
arxiv created 2019/01/16 · arxiv updated 2019/01/17
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.