2013/01/11 by Hugo Reinhardt, Reinhardt, Hugo, Jan Heffner +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.1301.2510
openalex publication_date 2013/01/11 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
The effective potential of the order parameter for confinement is calculated\nwithin the Hamiltonian approach to Yang--Mills theory. Compactifying one\nspatial dimension and using a background gauge fixing this potential is\nobtained by minimizing the energy density for a given background field. Using\nGaussian type trial wave functionals I establish an analytic relation between\nthe propagators in the background gauge at finite temperature and the\ncorresponding zero temperature propagators in Coulomb gauge. In the simplest\ntruncation, neglecting the ghost and using the ultraviolet form of the gluon\nenergy one recovers the Weiss potential. From the fully non-perturbative\npotential (with the ghost included) one extracts a critical temperature of the\ndeconfinement phase transition of 270 MeV for the gauge group SU(2).\n