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Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

高能物理 - 理论 · 物理学 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

Subject of our investigations is QCD formulated in terms of physical degrees of freedom. Starting from the Faddeev-Popov procedure, the canonical formulation of QCD is derived for static gauges. Particular emphasis is put on obstructions…

高能物理 - 唯象学 · 物理学 2016-11-23 Frieder Lenz , Stefan Woerlen

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

高能物理 - 格点 · 物理学 2015-05-14 Jens Langelage , Owe Philipsen

We give a gauge-invariant definition of the vortex surface in SU(N) Yang-Mills theory without using the gauge fixing procedure. In this construction, gauge-invariant magnetic monopoles with fractional magnetic charges emerge in the boundary…

高能物理 - 理论 · 物理学 2008-11-26 Kei-Ichi Kondo

We determine the time evolution of fluctuations of the Polyakov loop after a quench into the deconfined phase of SU(3) gauge theory from a simple classical relativistic Lagrangian. We compare the structure factors, which indicate spinodal…

高能物理 - 唯象学 · 物理学 2008-11-26 Alexei Bazavov , Bernd A. Berg , Adrian Dumitru

In this Letter we use the Julia-Toulouse approach for condensation of defects in order to obtain an effective confinement theory for external chromoelectric probe charges in SU(3) gauge theory in the regime with condensed chromomagnetic…

高能物理 - 理论 · 物理学 2012-03-29 L. S. Grigorio , M. S. Guimaraes , R. Rougemont , C. Wotzasek

Assuming the monopole dominance, that has been proved in the lattice gluodynamics, to hold in the continuum limit, we develop an effective scalar field theory for QCD at large distances to describe confinement. The approach is based on a…

高能物理 - 理论 · 物理学 2009-10-30 Sergei V. Shabanov

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…

高能物理 - 格点 · 物理学 2016-03-14 Nigel Cundy , Y. M. Cho , Weonjong Lee

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…

高能物理 - 唯象学 · 物理学 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is…

高能物理 - 格点 · 物理学 2022-06-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov , A. S. Tanashkin

We establish the global-in-time existence and uniqueness of classical solutions to the "one and one-half" dimensional relativistic Vlasov--Maxwell systems in a bounded interval, subject to an external magnetic field which is infinitely…

偏微分方程分析 · 数学 2014-10-14 Toan T. Nguyen , Truyen V. Nguyen , Walter A. Strauss

We describe the current search for confinement mechanisms in lattice QCD. We report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice…

高能物理 - 格点 · 物理学 2015-06-25 Richard W. Haymaker

We study the Boltzmann equation near a global Maxwellian in the case of bounded domains. We consider the boundary conditions to be either specular reflections or Maxwellian diffusion. Starting from the reference work of Guo in…

数学物理 · 物理学 2016-11-30 Marc Briant

We study Abelian monopole and vortex condensation in lattice pure gauge theories. Condensation is detected by means of a disorder parameter defined in terms of a gauge-invariant effective action introduced using the lattice Schr\"odinger…

高能物理 - 格点 · 物理学 2009-11-07 Paolo Cea , Leonardo Cosmai

Topological configurations, monopoles and vortices, successfully describe quark confinement and the spontaneous breakdown of chiral symmetry. Despite their infinite action, these configurations are relevant due to a subtle cancellation…

高能物理 - 格点 · 物理学 2014-11-20 Kurt Langfeld

We study the phase diagram of a confining three-dimensional $\mathcal{N}=1$ supersymmetric $\text{U}(N)\times\text{U}(N+M)$ theory with holographic dual corresponding to a known string theory solution. The theory possesses a global…

高能物理 - 理论 · 物理学 2023-04-12 Antón F. Faedo , Carlos Hoyos , Javier G. Subils

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…

高能物理 - 唯象学 · 物理学 2013-03-01 Bruno W. Mintz , Rudnei O. Ramos , Juergen Schaffner-Bielich , Rainer Stiele

We analyze the expectation value of the Polyakov loop in the fundamental and higher representations in the confined phase of QCD. We discuss a hadronic like representation, and find that the Polyakov loop corresponds to a partition function…

高能物理 - 唯象学 · 物理学 2014-04-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

高能物理 - 格点 · 物理学 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

The vortex theory which emerges from SU(2) lattice gauge theory by center projection is briefly reviewed. In this vortex picture, quark confinement is due to percolating (closed) vortices which are randomly linked to the Wilson loop. The…

高能物理 - 格点 · 物理学 2007-05-23 Kurt Langfeld