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arXiv · 1312.2616

A high statistics study of the beta-function in the SU(2) lattice thermodynamics

S. S. Antropov·O. A. Mogilevsky·V. V. Skalozub
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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.

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S. S. Antropov, O. A. Mogilevsky, V. V. Skalozub. 2013-12-09. A high statistics study of the beta-function in the SU(2) lattice thermodynamics. https://arxiv.org/abs/1312.2616

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