Finite size scaling of the Higgs-Yukawa model near the Gaussian fixed point

David Y.J. Chu, Karl Jansen, Bastian Knippschild, Chi-Jen Lin, Attila Nagy

    Research output: Contribution to journalConference articlepeer-review

    Abstract

    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.

    Original languageEnglish
    JournalProceedings of Science
    VolumePart F128557
    DOIs
    StatePublished - 1 Jan 2016
    Event34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
    Duration: 24 Jul 201630 Jul 2016

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