Renormalisation Group Analysis of the Finite Size Scaling for the scalar and the Higgs-Yukawa Models
David Y.-J Chu1*, C.-J. David Lin2, Karl Jansen3, Attila Nagy3,4, Bastian Knippschild5, Kei-Ichi~Nagai6
1電子物理系, 交通大學, Hsinchu, Taiwan
2Institude of Physics, NCTU, Hsinchu, Taiwan
3NIC, DESY Zeuthen, Zeuthen, Germany
4Department of Physics, Humboldt University, Berlin, Germany
5Department of Physics, University of Bonn, Bonn, Germany
6Kobayashi-Maskawa Institute, Nagoya University, Nagoya, Japan
* presenting author:朱宴仁, email:ren1072.ep99@g2.nctu.edu.tw
We present results for a renormalisation group analysis on
a Higgs Yukawa model in four-dimensional finite volume. In
particular, we perform perturbative calculation to idenfity the
one-loop scaling variable near a Gaussian fixed point.
We aim to fit the lattice field theoy simulation data with 2
degenerate fermion
flavours.
The novel feature of this study is the fermionic contribution to the
finite-size scaling.


Keywords: Higgs, Finite Size Scaling