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

Y.J.D. Chu, K. Jansen, B. Knippschild, C.J.D. Lin, A. Nagy

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


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.