FIZIKA B 17 (2008) 2, 355 - 362

 

STUDY OF AN ABELINIZATION TRANSITION IN SU(2) GLUODYNAMICS AT FINITE TEMPERATURE

J. BOHÁCIKa and P. PRESNAJDERb

aInstitute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9,
845 11 Bratislava, Slovakia
bDepartment of Theoretical Physics and Physics Education,
Faculty of Mathematics, Physics and Informatics, Comenius University,
Mlynská dolina F2, 842 48 Bratislava, Slovakia
E-mail addresses: bohacik@savba.sk   presnajder@fmph.uniba.sk

Received 23 October 2007;   Accepted June 2008
Online 20 June 2008

We discuss the problem of an effective description of the phase transition phenomena in the pure gluodynamics in SU(2) symmetric QCD. The calculation method is choosen following the conjecture that the infrared sector of the theory possesses the same confinement characteristic as the full theory. It is shown that the analytic description of this phenomena is beyond the Gaussian method of evaluations of functional integrals. We point to a non-perturbative method of the evaluation of functional integral for two dimensional Wiener integral for x4 theory which could solve this problem.

PACS numbers: 11.15.-q, 11.15.Tk, 11.25.Db
UDC 539.125

Keywords: path integral, gluodynamics, phase transitions

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