arXiv subjects

Juraj Boháčik

Publications and source records attributed to Juraj Boháčik.

2 recordsLinked to original sources

arXiv2008

Functional integral with $ϕ^4$ term in the action beyond standard perturbative methods II

To avoid problems with infinite measure, the functional integral for harmonic oscillator can be calculated by time - slicing method with continuum limit procedure proposed Gelfand and Yaglom. In previous article we proved by nonperturbative calculation the generalized Gelfand-Yaglom equation for anharmonic oscillator with positive or negative mass term. In this article we prove by step-by-step the calculation of the correction function to the Gelfand-Yaglom equation for an-harmonic oscillator.

hep-th↗

arXiv2007

Study of an Abelinization Transition in SU(2) Gluodynamics at Finite Temperature

We discuss the problem of an effective descriptions of the phase transition phenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the method of calculation following the conjecture that the infrared sector of the theory possesses the same confinement characteristic as the full theory. We show, that analytic descriptions of this phenomena is beyond the Gaussian method of evaluations of functional integrals. We propose a non-perturbative evaluation of functional integral, meanwhile for two dimensional Wiener integral for $ϕ^4$ theory.

hep-ph↗