Quark confinement from colour confinement

By Jens Braun, H. Gies, Jan M. Pawlowski. 2007

211 citations recorded by the source corpus.

Abstract We relate quark confinement, as measured by the Polyakov-loop order parameter, to colour confinement, as described by the Kugo–Ojima/Gribov–Zwanziger scenario. We identify a simple criterion for quark confinement based on the IR behaviour of ghost and gluon propagators, and compute the order-parameter potential from the knowledge of Landau-gauge correlation functions with the aid of the functional RG. Our approach predicts the deconfinement transition in quenched QCD to be of first order for SU(3) and second order for SU(2) – in agreement with general expectations. As an estimate for the critical temperature, we obtain T c ≃ 284 MeV for SU(3).

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3034e611bee61f0e4b039ba2ebe939c55f769465

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In Nuclear and High Energy Physics

1. A. Eichhorn
2. Jan M. Pawlowski
3. C. Fischer
4. Markus Q. Huber
5. W. Metzner
6. M. Tissier
7. N. Dupuis
8. N. Wschebor

Citations in the corpus

• Nonperturbative properties of Yang–Mills theories (2018, unknown): “,[124–137].”
• The nonperturbative functional renormalization group and its applications (2020, background): “It has been put forward in [750] within the FRG and has been extended later also to general functional approaches, [751].”
• QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “These are the dressed Polyakov loop [173, 224], the dual scalar quark dressing [225], the generalized φ-dependent quark condensate [226] and the Polyakov loop potential [227–229].”