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

2016/11/02 by David Y. -J. Chu, Karl Jansen, Chu, David Y. -J. +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1611.00466

openalex publication_date 2016/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the scaling properties of Higgs-Yukawa models. Using the technique\nof Finite-Size Scaling, we are able to derive scaling functions that describe\nthe observables of the model in the vicinity of a Gaussian fixed point. A\nfeasibility study of our strategy is performed for the pure scalar theory in\nthe weak-coupling regime. Choosing the on-shell renormalisation scheme gives us\nan advantage to fit the scaling functions against lattice data with only a\nsmall number of fit parameters. These formulae can be used to determine the\nuniversality of the observed phase transitions, and thus play an essential role\nin future investigations of Higgs-Yukawa models, in particular in the strong\nYukawa coupling region.\n

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