We consider finite-temperatureSU(2)gauge theory in the continuum formulation. Choosing theLandau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanzigerquantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) di-rectly influencing the Green functions of the theory. Here, we determine simultaneously thePolyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by mini-mizing the vacuum energy with respect to the Polyakov-loop parameter and solving the Gribovgap equation. The 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.Finally, problems for the pressure at low temperatures are reported.
Gribov horizon, Polyakov loop and finite temperature / Pais, Pablo; Canfora, Fabrizio; Dudal, David; Justo, Igor; Rosa, Luigi; Vercauteren, David. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 347:(2019), p. 185. (Intervento presentato al convegno "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2018) - Session: The Critical Point and Onset of Deconfinement Conference tenutosi a Corfu nel 2018) [10.22323/1.347.0185].
Gribov horizon, Polyakov loop and finite temperature
Rosa, Luigi;
2019
Abstract
We consider finite-temperatureSU(2)gauge theory in the continuum formulation. Choosing theLandau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanzigerquantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) di-rectly influencing the Green functions of the theory. Here, we determine simultaneously thePolyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by mini-mizing the vacuum energy with respect to the Polyakov-loop parameter and solving the Gribovgap equation. The 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.Finally, problems for the pressure at low temperatures are reported.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
