arXiv subjects

O. A. Mogilevsky

Publications and source records attributed to O. A. Mogilevsky.

4 recordsLinked to original sources

arXiv2013

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

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.

hep-lat↗

arXiv2010

Modified Bag Models for the Quark Gluon Plasma Equation of State

The modified versions of the bag model equation of state (EoS) are considered. They are constructed to satisfy the main qualitative features observed for the quark-gluon plasma EoS in the lattice QCD calculations. A quantitative comparison with the lattice results at high temperatures T are done in the SU(3) gluodynamics and in the full QCD with dynamical quarks. Our analysis advocates a negative value of the bag constant B.

hep-ph↗

arXiv2010

Pion Number Fluctuations and Correlations in the Statistical System with Fixed Isospin

The statistical system of pions with zero total isospin is studied. The suppression effects for the average yields due to isospin conservation are the same for $π^0$, $π^+$ and $π^-$. However, a behavior of the corresponding particle number fluctuations are different. For neutral pions there is the enhancement of the fluctuations, whereas for charged pions the isospin conservation suppresses fluctuations. The correlations between the numbers of charged and neutral pions are observed for finite systems. This causes a maximum of the total pion number fluctuations for small systems. The thermodynamic limit values for the scaled variances of neutral and charged pions are calculated. The enhancements of the fluctuations due to Bose statistics are found and discussed.

nucl-th↗

arXiv2003

The Calculation of Critical Parameters in SU(2) Gauge Theory with Kouvel-Fisher Method

We calculate the critical coupling $4/g_c^2$ and critical exponent $β$ for the order parameter in SU(2) lattice gauge theory by applying of the finite size scaling technique and the method proposed by Kouvel and Fisher for analysis of experimental data. In contrast to the standard finite size scaling approach, this method allows to determine simultaneously both $g_c^2/4$ and $β$ as two parameters of the linear fit to the Monte-Carlo data.

hep-lat↗