FIZIKA B 17 (2008) 2, 355  362
STUDY OF AN ABELINIZATION TRANSITION IN SU(2) GLUODYNAMICS AT FINITE TEMPERATURE
J. BOHÁCIK^{a} and P. PRESNAJDER^{b}
^{a}Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9,
845 11 Bratislava, Slovakia
^{b}Department of Theoretical Physics and Physics Education,
Faculty of Mathematics, Physics and Informatics, Comenius University,
Mlynská dolina F2, 842 48 Bratislava, Slovakia
Email 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 nonperturbative
method of the evaluation of functional integral for two dimensional Wiener
integral for x^{4} 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
