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The thermodynamics of QCD with sufficiently heavy dynamical quarks can be described by a three-dimensional Polyakov loop effective theory, obtained after a truncated character and hopping expansion. We investigate the resulting phase…

High Energy Physics - Lattice · Physics 2022-12-20 Amine Chabane , Owe Philipsen

We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial curvature acts as an effective gluon mass…

High Energy Physics - Theory · Physics 2014-06-06 Ivan G. Avramidi , Samuel Collopy

We study the mechanism of the gauge cooling technique to stabilize the complex Langevin method in the one-dimensional periodic setting. In this case, we find the exact solutions for the gauge transform which minimizes the Frobenius norm of…

Numerical Analysis · Mathematics 2020-04-22 Zhenning Cai , Yana Di , Xiaoyu Dong

We present results for the renormalized Polyakov loop in the three lowest irreducible representations of SU(2) gauge theory at finite temperature. We will discuss their scaling behavior near $T_c$ and test Casimir scaling in the deconfined…

High Energy Physics - Lattice · Physics 2010-01-21 Kay Huebner , Claudio Pica

Spin dimer systems are a promising playground for the detailed study of quantum phase transitions. Using the magnetic field as the tuning parameter it is in principle possible to observe a crossover from the characteristic scaling near…

Strongly Correlated Electrons · Physics 2015-04-13 Dominik Strassel , Peter Kopietz , Sebastian Eggert

A finite array of $N$ globally coupled Stratonovich models exhibits a continuous nonequilibrium phase transition. In the limit of strong coupling there is a clear separation of time scales of center of mass and relative coordinates. The…

Statistical Mechanics · Physics 2015-05-13 Fabian Senf , Philipp M. Altrock , Ulrich Behn

We investigate the deconfinement transition of static quarks in SU(N) Yang-Mills theories using a perturbative approach based on a massive extension of the Landau-DeWitt gauge-fixed action, where the gluon mass term is related to the issue…

High Energy Physics - Theory · Physics 2015-05-18 Julien Serreau

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

The liquid droplet formula is applied to an analysis of the properties of geometrical (anti)clusters formed in SU(2) gluodynamics by the Polyakov loops of the same sign. Using this approach, we explain the phase transition in SU(2)…

High Energy Physics - Lattice · Physics 2017-04-05 A. Ivanytskyi , K. Bugaev , E. Nikonov , E. -M. Ilgenfritz , V. Sagun , I. Mishustin , V. Petrov , G. Zinovjev

We develop a finite-temperature perturbation theory for quasi-one-dimensional quantum spin systems, in the manner suggested by H.J. Schulz (1996) and use this formalism to study their dynamical response. The corrections to the random-phase…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures…

High Energy Physics - Theory · Physics 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

Thermodynamic properties of strongly interacting matter are investigated using the Polyakov loop enhanced Nambu$-$Jona-Lasinio model along with some modifications to include the hadrons. Various observables are shown to have a close…

High Energy Physics - Phenomenology · Physics 2020-10-21 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

It is shown that $SO(3)$ lattice gauge theory on finite size lattices has metastable states related to the ground states of both the bulk transition and the finite temperature transition. The Polyakov line variable in the adjoint…

High Energy Physics - Lattice · Physics 2007-05-23 Srinath Cheluvaraja , H. S. Sharathchandra

In this series of three papers, we generalize the derivation of dual photons and monopoles by Polyakov, and Banks, Myerson and Kogut, to obtain approximative models of SU(2) lattice gauge theory. Our approach is based on stationary phase…

High Energy Physics - Theory · Physics 2007-06-13 Florian Conrady

We obtain the in-medium effective potential of the three-flavor Polyakov-Quark-Meson model as a real function of real variables in the Polyakov loop variable, to allow for the study of all possible minima of the model. At finite quark…

High Energy Physics - Phenomenology · Physics 2013-03-01 Bruno W. Mintz , Rudnei O. Ramos , Juergen Schaffner-Bielich , Rainer Stiele

We carry out a systematic study of the effective bosonic string describing confining flux tubes in $\mathrm{SU}(N)$ Yang--Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are…

High Energy Physics - Lattice · Physics 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We study dynamical aspects of three--dimensional gonihedric spins by using Monte--Carlo methods. The interest of this family of models (parametrized by one self-avoidance parameter $\kappa$) lies in their capability to show remarkably slow…

Condensed Matter · Physics 2009-11-07 P. Dimopoulos , D. Espriu , E. Jané , A. Prats

The Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt , Hugo Reinhardt

We investigate the role played by the Polyakov loop in the dynamics of the chiral phase transition in the framework of the so-called PNJL model in the SU(2)sector. We present the phase diagram where the inclusion of the Polyakov loop moves…

High Energy Physics - Phenomenology · Physics 2009-08-03 Pedro Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen

Employing the Schwinger-Keldysh formalism, we formulate an effective field theory for s-wave superconducting phase transition, where the dynamical variables consist of electromagnetic gauge field and complex scalar order parameter.…

High Energy Physics - Theory · Physics 2026-05-11 Yanyan Bu , Zexin Yang