A high statistics study of the beta-function in the SU(2) lattice thermodynamics
Abstract
The beta-function is investigated on the lattice in SU(2) gluodynamics. It is determined within a scaling hypothesis while a lattice size fixed to be taken into account. The functions calculated are compared with the ones obtained in the continuum limit. Graphics processing units (GPU) are used as a computing platform that allows gathering a huge amount of statistical data. Numerous beta-functions are analyzed for various lattices. The coincidence of the lattice beta-function and the analytical expression in the region of the phase transition is shown. New method for estimating a critical coupling value is proposed.
Keywords
Cite
@article{arxiv.1312.2616,
title = {A high statistics study of the beta-function in the SU(2) lattice thermodynamics},
author = {S. S. Antropov and O. A. Mogilevsky and V. V. Skalozub},
journal= {arXiv preprint arXiv:1312.2616},
year = {2013}
}
Comments
10 pages, 3 figures, Proceedings of the International School-Seminar "New Physics and Quantum Chromodynamics at External Conditions", May 22-24, 2013, Dnipropetrovsk, Ukraine