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Related papers: Quark Confinement from Correlation Functions

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We consider the Polyakov loop correlator in the confining phase of large $N$ Yang-Mills theory in three and four dimensions. It can be computed by summing over the exchange of closed flux tubes winding around the thermal cycle. At short…

High Energy Physics - Theory · Physics 2026-02-18 Jan Albert , Alexandre Homrich

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-02-01 Chihiro Sasaki , Krzysztof Redlich

We continue our investigation of quark confinement using a particular variant of the Cho-Duan-Ge gauge independent Abelian decomposition. The decomposition splits the gauge field into a restricted Abelian part and a coloured part in a way…

High Energy Physics - Lattice · Physics 2016-03-14 Nigel Cundy , Y. M. Cho , Weonjong Lee

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

The renormalization group equations of the Yang-Mills theory are examined in the non-critical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kazuo Ghoroku

We explore the confinement-deconfinement phase transition (PT) of the first order (FO) arising in $SU(N)$ pure Yang-Mills theory, based on Polyakov loop models (PLMs), in light of the induced gravitational wave (GW) spectra. We demonstrate…

High Energy Physics - Phenomenology · Physics 2024-01-31 Zhaofeng Kang , Shinya Matsuzaki , Jiang Zhu

In this thesis we investigate two different sets of physics questions, aiming at a better understanding of the low-energy behaviour of Yang-Mills theories, and the properties connected to confinement, in a first part. In a second part, we…

High Energy Physics - Theory · Physics 2011-11-08 Astrid Eichhorn

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

We study confinement and deconfinement in dense two color QCD by analyzing the dynamics of thermal quarks and gluons. The Polyakov loop is used as a probe of the relevant thermal excitations, distinguishing quark and hadron dominated…

High Energy Physics - Phenomenology · Physics 2025-11-21 Yugo Kurebayashi , Toru Kojo , Daiki Suenaga

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

In this paper we express the velocity dependent, spin dependent heavy quark potential $V_{q\bar q}$ in QCD in terms of a Wilson Loop $W(\Gamma)$ determined by pure Yang Mills theory. We use an effective dual theory of long-distance Yang…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Baker , J. S. Ball , N. Brambilla , G. M. Prosperi , F. Zachariasen

A quark model with general Yang-Mills $SU_3$ symmetry leads to fourth-order field equations and linear confining potential. The confining gauge bosons (`confions') are treated as off-mass-shell particles and their indefinite energies are…

General Physics · Physics 2017-07-13 Jong-Ping Hsu

We describe results for the confinement-deconfinement phase transition as predicted by the Nambu--Jona-Lasinio model where the local and quantum Polyakov loop is coupled to the constituent quarks in a minimal way (PNJL). We observe that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Lattice gauge theory results show the confinement for the quark potential in different Yang-Mills theories and even the G(2) gauge theory. LGT calculations show that quark potential should have the down concavity behavior. Confinement…

High Energy Physics - Lattice · Physics 2020-11-30 Hadi Lookzadeh , M. Hosseini

Effective Polyakov loop theories are a useful tool for an investigation of pure Yang-Mills theory and full QCD. A systematic derivation of the effective action can be done in a spatial strong coupling expansion. Quite accurate predictions…

High Energy Physics - Lattice · Physics 2013-11-27 Georg Bergner , Jens Langelage , Owe Philipsen

Nonperturbative effects in the quark-gluon thermodynamics are studied in the framework of Vacuum Correlator Method. It is shown, that two correlators: colorelectric $D_1^E(x)$ and colormagnetic $D^H(x)$, provide the Polyakov line and the…

High Energy Physics - Phenomenology · Physics 2017-09-13 M. S. Lukashov , Yu. A. Simonov

We analytically study the relation between quark confinement and spontaneous chiral-symmetry breaking in QCD. In terms of the Dirac eigenmodes, we derive some formulae for the Polyakov loop, its fluctuations, and the string tension from the…

High Energy Physics - Theory · Physics 2017-04-05 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

We study the confinement-deconfinement phase transition of pure Yang-Mills theories at finite temperature using a simple massive extension of standard background field methods. We generalize our recent next-to-leading-order perturbative…

High Energy Physics - Theory · Physics 2016-05-11 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

K strings in Yang-Mills theory can be considered as bound states of k elementary confining strings carrying one unit of colour flux. Current estimates of k-string tension sigma_k are very sensitive to the leading corrections due to quantum…

High Energy Physics - Lattice · Physics 2008-11-26 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We study interplay between confinement/deconfinement and chiral properties. We derive some analytical relations of the Dirac modes with the confinement quantities, such as the Polyakov loop, its susceptibility and the string tension. For…

High Energy Physics - Lattice · Physics 2017-12-13 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki