Eur. Phys. J. C (2014) 74: 2855
https://doi.org/10.1140/epjc/s10052-014-2855-x

Regular Article - Theoretical Physics

Gribov gap equation at finite temperature

¹ Centro de Estudios Científicos (CECS), Casilla, 1469 , Valdivia, Chile
² Universidad Andrés Bello, Av. República 440, Santiago, Chile
³ Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile
⁴ Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Insitutes, Campus Plaine C.P. 231, 1050 , Bruxelles, Belgium

^* e-mail: pais@cecs.cl

Received: 5 December 2013
Accepted: 2 April 2014
Published online: 20 May 2014

Abstract

In this paper the Gribov gap equation at finite temperature is analyzed. The solutions of the gap equation (which depend explicitly on the temperature) determine the structure of the gluon propagator within the semi-classical Gribov approach. The present analysis is consistent with the standard confinement scenario for low temperatures, while for high enough temperatures, deconfinement takes place and a free gluon propagator is obtained. An intermediate regime in between the confined and free phases can be read off from the resulting gluon propagator, which appears to be closely related to partial deconfinement.