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We show that a generalized Polyakov mechanism can lead to confinement at weak coupling in $3+1$ dimensions when the theory is placed in a non-trivial, spatially varying magnetic field background. Depending on the magnitude of the field and…

High Energy Physics - Theory · Physics 2026-02-23 Stefano Bolognesi

Confinement may be more easily demonstrated at finite temperature using the Polyakov loop than at zero temperature using the Wilson loop. A natural mechanism for confinement can arise via the coupling of the adjoint Polyakov loop to F_{mu…

High Energy Physics - Lattice · Physics 2009-10-30 Peter N. Meisinger , Michael C. Ogilvie

Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on…

High Energy Physics - Lattice · Physics 2015-11-17 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma

We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect sets in at the chiral symmetry restoration temperature T-chi…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Digal , E. Laermann , H. Satz

Based on a generalized Beth-Uhlenbeck approach to thermodynamics of QCD motivated by cluster decomposition we present a unified equation of state of hot strongly interacting matter and analyze its properties in a wide range of temperatures.…

Nuclear Theory · Physics 2025-08-01 Oleksii Ivanytskyi , David Blaschke , Gerd Röpke

The mixing between the chiral condensate and the density in hot and dense QCD matter is familiar. We show that the mixing relevant for the ground state is considerably more extensive, and in particular also involves gluonic degrees of…

High Energy Physics - Phenomenology · Physics 2024-08-06 Maximilian Haensch , Fabian Rennecke , Lorenz von Smekal

Recently, lattice simulations of SU(3) Yang-Mills theory revealed that rotating hot gluon matter in thermal equilibrium possesses a novel inhomogeneous phase consisting of the deconfinement phase located in the center region, which is…

High Energy Physics - Lattice · Physics 2025-09-12 V. V. Braguta , M. N. Chernodub , Ya. A. Gershtein , A. A. Roenko

We present a quasiparticle model for the pure gauge sector of QCD, in which transverse quasigluons propagate in a Polyakov loop background field. By incorporating thermodynamic self-consistency in the approach, we show that our Polyakov…

High Energy Physics - Phenomenology · Physics 2015-06-18 Paolo Alba , Wanda Alberico , Marcus Bluhm , Vincenzo Greco , Claudia Ratti , Marco Ruggieri

We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect sets in at the chiral symmetry restoration temperature…

High Energy Physics - Lattice · Physics 2009-10-31 S. Digal , E. Laermann , H. Satz

We investigate the spatial distribution of inertial particles suspended in the bulk of a turbulent inhomogeneous flow. By means of direct numerical simulations of particle trajectories transported by the turbulent Kolmogorov flow, we study…

Fluid Dynamics · Physics 2016-03-23 Filippo De Lillo , Massimo Cencini , Stefano Musacchio , Guido Boffetta

We investigate the effects of rotation on deconfinement and chiral phase transitions in the framework of dynamical holographic QCD model. Instead of transforming to the rotating system by Lorentz boost, we construct an anisotropic…

High Energy Physics - Phenomenology · Physics 2024-05-13 Yidian Chen , Xun Chen , Danning Li , Mei Huang

A study of the center symmetric phase of SU(2) Yang Mills theory is presented. Realization of the center symmetry is shown to result from non-perturbative gauge fixing. Dictated by the center symmetry, this phase exhibits already at the…

High Energy Physics - Theory · Physics 2009-10-31 F. Lenz , M. Thies

The rotation induced inhomogeneous problem is non-trivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a…

Nuclear Theory · Physics 2019-09-11 Lingxiao Wang , Yin Jiang , Lianyi He , Pengfei Zhuang

We investigate the effective action of the Polyakov loop with spatial variations. We expand the effective action not in powers of derivatives or momenta, but in powers of variational amplitudes. At one-loop order the results suggest that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima , Koichi Ohta

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 discuss the inhomogeneous pion condensed phase within the framework of chiral perturbation theory. We show how the general expression of the condensate can be obtained solving three coupled differential equations, expressing how the pion…

High Energy Physics - Phenomenology · Physics 2022-02-16 Massimo Mannarelli , Fabrizio Canfora , Stefano Carignano , Marcela Lagos , Aldo Vera

We calculate the gluon polarization tensor for a chirally imbalanced plasma using hard thermal loop approximation in the real time formulation of thermal field theory. The dispersion relations obtained from the poles of the effective gluon…

High Energy Physics - Phenomenology · Physics 2025-07-01 Sourav Duari , Nilanjan Chaudhuri , Sourav Sarkar , Pradip Roy

We investigate the combined effects of rotation and finite quark chemical potential on inhomogeneous chiral condensation and the chiral phase diagram within the soft-wall holographic QCD model. Using the five-dimensional AdS-RN metric, we…

High Energy Physics - Phenomenology · Physics 2026-04-14 D. -Y. Long , S. -Q. Feng

We perform a field-theoretical computation of hadron production in large systems at the QCD confinement phase transition associated with restoration of the Z(3) global symmetry. This occurs from the decay of a condensate for the Polyakov…

High Energy Physics - Phenomenology · Physics 2009-11-07 O. Scavenius , A. Dumitru , J. T. Lenaghan

We investigate correlations of the Polyakov loop fluctuations with eigenmodes of the lattice Dirac operator. Their analytic relations are derived on the temporally odd-number size lattice with the normal non-twisted periodic boundary…

High Energy Physics - Lattice · Physics 2015-11-09 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma
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