Effect of the Gribov horizon on the Polyakov loop and vice versa

The European Physical Journal C

F. E. Canfora¹  P. Pais²  I. F. Justo³  D. Dudal⁴  L. Rosa⁵  D. Vercauteren⁶ 

[1] Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile;Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile;Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, 1050, Brussels, Belgium;Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Gent, Belgium;Departamento de Física Teórica, Instituto de Física, UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, Brazil;Department of Physics, KU Leuven Campus Kortrijk, KULAK, Etienne Sabbelaan 53, 8500, Kortrijk, Belgium;Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Gent, Belgium;Dipartimento di Fisica, Universitá di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Naples, Italy;INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Naples, Italy;Institute of Research and Development, Duy Tân University, P809, K7/25 Quang Trung, Hải Châu, Da Nang, Vietnam;

关键词: Polyakov Loop;    Gluon Propagator;    Casimir Energy;    Landau Gauge;    Ghost Propagator;   

DOI  :  10.1140/epjc/s10052-015-3546-y

来源: Springer

【 摘 要 】

We consider finite-temperature SU(2) gauge theory in the continuum formulation, which necessitates the choice of a gauge fixing. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov–Zwanziger quantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) directly influencing the Green functions of the theory. Here, we determine simultaneously the Polyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by minimizing the vacuum energy w.r.t. the Polyakov-loop parameter and solving the Gribov gap equation. Inspired by the Casimir energy-style of computation, we illustrate the usage of Zeta function regularization in finite-temperature calculations. Our main result is that the Gribov mass directly feels the deconfinement transition, visible from a cusp occurring at the same temperature where the Polyakov loop becomes nonzero. In this exploratory work we mainly restrict ourselves to the original Gribov–Zwanziger quantization procedure in order to illustrate the approach and the potential direct link between the vacuum structure of the theory (dynamical mass scales) and (de)confinement. We also present a first look at the critical temperature obtained from the refined Gribov–Zwanziger approach. Finally, a particular problem for the pressure at low temperatures is reported.

【 授权许可】

CC BY