TY - JOUR
T1 - Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point
AU - Chu, David Y.J.
AU - Jansen, Karl
AU - Knippschild, Bastian
AU - Lin, Chi-Jen
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Lattice Quantum Field Theory
KW - Renormalization Group
UR - http://www.scopus.com/inward/record.url?scp=85060202765&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2019)110
DO - 10.1007/JHEP01(2019)110
M3 - Article
AN - SCOPUS:85060202765
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 1
M1 - 110
ER -