The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
| Autor: | Davide R. Campagnari, Jan Heffner, Hugo Reinhardt |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Phase transition Thermal quantum field theory QC1-999 High Energy Physics::Lattice High Energy Physics::Phenomenology Propagator FOS: Physical sciences Yang–Mills theory Deconfinement Gluon High Energy Physics::Theory symbols.namesake High Energy Physics - Theory (hep-th) Gauge group Quantum electrodynamics Quantum mechanics symbols Hamiltonian (quantum mechanics) Nuclear Experiment Gauge fixing Mathematical physics |
| Zdroj: | EPJ Web of Conferences, Vol 71, p 00114 (2014) |
| Popis: | Recent results obtained for the deconfinement phase transition within the Hamiltonian approach to Yang-Mills theory are reviewed. Assuming a quasiparticle picture for the grand canonical gluon ensemble the thermal equilibrium state is found by minimizing the free energy with respect to the quasi-gluon energy. The deconfinement phase transition is accompanied by a drastic change of the infrared exponents of the ghost and gluon propagators. Above the phase transition the ghost form factor remains infrared divergent but its infrared exponent is approximately halved. The gluon energy being infrared divergent in the confined phase becomes infrared finite in the deconfined phase. Furthermore, the effective potential of the order parameter for confinement is calculated for SU$(N)$ Yang-Mills theory in the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. In the simplest truncation, neglecting the ghost and using the ultraviolet form of the gluon energy, we recover the Weiss potential. From the full non-perturbative potential (with the ghost included) we extract a critical temperature of the deconfinement phase transition of $269$ MeV for the gauge group SU$(2)$ and $283$ MeV for SU$(3)$. Comment: 10 pages, 17 figures, talk given by Hugo Reinhardt at "2nd International Conference on New Frontiers in Physics" in Kolymbari, Crete |
| Databáze: | OpenAIRE |
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