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We study order parameters for the confinement-deconfinement phase transition related to the Polyakov-loop variable. The functional renormalisation group is used to compute these order parameters in a unified, non-perturbative continuum…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tina K. Herbst , Jan Luecker , Jan M. Pawlowski

Inspired by the fact that both the dilaton potential encoding the trace anomalies of QCD and the Polyakov loop potential measuring the deconfinement phase transition can be expressed in the logarithmic forms, as well as the fact that the…

Nuclear Theory · Physics 2024-06-14 Bing-Kai Sheng , Yong-Liang Ma

The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the…

High Energy Physics - Phenomenology · Physics 2012-10-11 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

High Energy Physics - Phenomenology · Physics 2022-12-14 Markus Quandt , Hugo Reinhardt

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. For this purpose, we use a novel reformulation of the…

High Energy Physics - Theory · Physics 2015-11-19 Kei-Ichi Kondo , Akihiro Shibata

We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the…

High Energy Physics - Theory · Physics 2024-03-05 Masanori Hanada , Hiromasa Watanabe

The Polyakov loop is an order parameter to the confinement-deconfinement phase transition in pure gluodynamics. Recently a simple phenomenological model has been proposed to describe the available lattice data for the renormalized Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano

We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include…

High Energy Physics - Theory · Physics 2018-10-05 Jisuke Kubo , Masatoshi Yamada

We study the deconfining phase transition in 3+1 dimensional pure SU(N) Yang-Mills theory using a gauge invariant variational calculation. We generalize the variational ansatz of Phys. Rev. D52, 3719 (1995) to mixed states (density…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. I. Kogan , A. Kovner , J. G. Milhano

We approach the non-perturbative regime in finite temperature QCD within a formulation in Polyakov gauge. The construction is based on a complete gauge fixing. Correlation functions are then computed from Wilsonian renormalisation group…

High Energy Physics - Phenomenology · Physics 2008-12-08 Florian Marhauser , Jan M. Pawlowski

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass…

High Energy Physics - Lattice · Physics 2021-02-08 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We describe how the coupling of the gluonic Polyakov loop to quarks solves different inconsistencies in the standard treatment of chiral quark models at finite temperature at the one quark loop level. Large gauge invariance is incorporated…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We consider the SU(2) lattice gauge theory at finite temperature in (d+1) dimensions, with different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion of the Wilson action and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of…

High Energy Physics - Lattice · Physics 2011-02-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature by using the Gocksch-Ogilvie model with fundamental or adjoint quarks. The model is based on the double expansion of strong coupling and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Fukushima

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

Heavy quark potential in the continuum theory at finite temperature is calculated in different phases by using the Polyakov loop as the order parameter. We find the linearly rising potential in the confinement phase, the Debye screened…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Bohacik , P. Presnajder
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