The effective potential of the confinement order parameter in the Hamilton approach

TL;DR

This paper calculates the effective potential for the confinement order parameter using a Hamiltonian approach with a compactified spatial dimension, revealing a critical temperature for deconfinement in SU(2).

Contribution

It introduces a non-perturbative calculation of the confinement potential within the Hamiltonian framework, including a variational approach to determine the deconfinement transition temperature.

Findings

Critical temperature for SU(2) deconfinement is 269 MeV.

The approach reproduces the Weiss potential in the perturbative limit.

Non-perturbative potential provides insights into confinement dynamics.

Abstract

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon energy one recovers the Weiss potential. From the full non-perturbative potential calculated within a variational approach a critical temperature of the deconfinement phase transition of 269 MeV is found for the gauge group SU(2).