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We write down an effective theory of the Polyakov loop to investigate the deconfinement phase transition of imaginary-rotating gluonic matter using the strong-coupling expansion. We find the strength of the nearest-neighbor Polyakov-loop…

High Energy Physics - Phenomenology · Physics 2025-08-28 Kenji Fukushima , Yusuke Shimada

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

The thermodynamics of pure glue theories can be described in terms of an effective action for the Polyakov loop. This effective action is of the Landau-Ginzburg type and its variables are the angles parametrizing the loop. In this paper we…

High Energy Physics - Phenomenology · Physics 2014-01-10 Adrian Dumitru , Yun Guo , Chris P. Korthals Altes

The Polyakov loop potential serves to distinguish between the confined hadronic and the deconfined quark-gluon plasma phases of QCD. For Nf=2+1 quark flavors with physical masses we determine the Polyakov loop potential at finite…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

By using a simple relativistic model, we compute the glueball and gluelump spectra and relate these quantities, respectively, to the trace anomaly and Polyakov loop in the adjoint representation of gluodynamics. This spectroscopic…

High Energy Physics - Phenomenology · Physics 2025-01-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We estimate the temperature dependence of the gluon condensate from the Polyakov loop effective potential. It is presented how this analytic approach provides a simple picture for the electric gluon condensate around the deconfinement…

High Energy Physics - Phenomenology · Physics 2018-03-14 J. P. Carlomagno , J. C. Rojas

We investigate detailed properties of imaginary rotating matter with gluons and quarks at high temperature. Previously, we showed that imaginary rotation induces perturbative confinement of gluons at the rotation center. We perturbatively…

High Energy Physics - Phenomenology · Physics 2024-11-07 Shi Chen , Kenji Fukushima , Yusuke Shimada

We investigate the quark backreaction on the Polyakov loop and its impact on the thermodynamics of quantum chromodynamics. The dynamics of the gluons generating the Polyakov-loop potential is altered by the presence of dynamical quarks.…

High Energy Physics - Phenomenology · Physics 2013-04-15 Lisa M. Haas , Rainer Stiele , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich

The Polyakov world-line path integral describing the propagation of gluon field quanta is constructed by employing the background gauge fixing method and is subsequently applied to analytically compute the divergent terms of the one…

High Energy Physics - Theory · Physics 2009-11-07 S. D. Avramis , A. I. Karanikas , C. N. Ktorides

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

This is a progress report on the calculation of the effective potential for the Polyakov loop in $SU(N)$ pure gauge theory beyond two-loop order. We introduce a new approach using the Poisson resummation formula to compute sum-integrals…

High Energy Physics - Theory · Physics 2018-11-29 Hiromichi Nishimura , Chris Korthals-Altes , Robert D. Pisarski , Vladimir Skokov

The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Sheng Wang , Jun-Xia Chen , Defu Hou , Hai-Cang Ren

The applicability of the space-time formulation of the gluonic sector of QCD in terms of the Polyakov worldline path integral, via the use of the background field gauge fixing method, is extended to multi-gluon loop configurations. Relevant…

High Energy Physics - Theory · Physics 2009-11-10 A. I. Karanikas , C. N. Ktorides

Inspired from perturbative calculations, this work introduces imaginary ($\Omega_{\rm I}$) and real ($\Omega$) rotation effects to the pure $SU(3)$ gauge potentials simply through variable transformations: The empirical Polyakov loop (PL)…

Nuclear Theory · Physics 2023-12-29 Gaoqing Cao

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

In SU(N) gluodynamics, above the de-confinement temperature, the effective potential has minima at non-zero $A_0$-background fields in the two-loop approximation. Also, it has a minimum at non-zero chromomagnetic background field, known as…

High Energy Physics - Theory · Physics 2022-05-18 M. Bordag , V. Skalozub

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

Constrained effective potentials in hot gauge theory give the probability that a configuration p of the order parameter (Polyakov loop) occurs. They are important in the analysis of surface effects and bubble formation in the plasma. The…

High Energy Physics - Theory · Physics 2010-11-01 C. P. Korthals Altes

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

We perturbatively compute the Polyakov loop potential at high temperature with finite imaginary angular velocity. This imaginary rotation does not violate the causality and the thermodynamic limit is well defined. We analytically show that…

High Energy Physics - Phenomenology · Physics 2022-12-21 Shi Chen , Kenji Fukushima , Yusuke Shimada
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