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We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

高能物理 - 格点 · 物理学 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

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

String representations of the Wilson loop are constructed in the SU(N)-version of compact QED in three and four dimensions. This is done exactly in the case of the fundamental Wilson loop and in the large-N limit in the case of the adjoint…

高能物理 - 理论 · 物理学 2010-04-15 Dmitri Antonov

The thermodynamics of 3d adjoint Higgs model is considered. We study the properties of the Polyakov loop correlators and the critical behavior at the deconfinement phase transition. Our main tool is a reduction to the 2d sine-Gordon model.…

高能物理 - 理论 · 物理学 2009-10-30 N. O. Agasian , K. Zarembo

We study finite-temperature N=1 SU(2) super Yang-Mills theory, compactified on a spatial circle of size L with supersymmetric boundary conditions. In the semiclassical small-L regime, a deconfinement transition occurs at T_c <<1/L. The…

高能物理 - 理论 · 物理学 2015-06-17 Mohamed M. Anber , Scott Collier , Erich Poppitz , Seth Strimas-Mackey , Brett Teeple

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

高能物理 - 格点 · 物理学 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

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…

高能物理 - 格点 · 物理学 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We argue that the confined and deconfined phases in gauge theories are connected by a partially deconfined phase (i.e. SU(M) in SU(N), where M<N, is deconfined), which can be stable or unstable depending on the details of the theory. When…

高能物理 - 理论 · 物理学 2019-09-24 Masanori Hanada , Goro Ishiki , Hiromasa Watanabe

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

高能物理 - 格点 · 物理学 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

A static string in an AdS Schwarzschild space is dual to a heavy quark anti-quark pair in a gauge theory at high temperature. This space is non confining in the sense that the energy is finite for infinite quark anti-quark separation. We…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga , Cristine N. Ferreira

The correlations between the modulus of the Polyakov loop, its phase $\theta$ and the Landau gauge gluon propagator at finite temperature are investigated in connection with the center symmetry for pure Yang-Mills SU(3) theory. In the…

高能物理 - 格点 · 物理学 2016-06-22 P. J. Silva , O. Oliveira

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…

高能物理 - 唯象学 · 物理学 2022-12-14 Markus Quandt , Hugo Reinhardt

We represent Polyakov loops and their correlators as spectral sums of eigenvalues and eigenmodes of the lattice Dirac operator. The deconfinement transition of pure gauge theory is characterized as a change in the response of moments of…

高能物理 - 格点 · 物理学 2009-11-11 Christof Gattringer

The functional determinant is computed exactly for quantum oscillations about periodic instantons with non-trivial values of the Polyakov line at spatial infinity (or holonomy). Such instantons can be viewed as composed of the…

高能物理 - 唯象学 · 物理学 2017-08-23 Dmitri Diakonov

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice.…

高能物理 - 理论 · 物理学 2009-10-30 M. Billo' , M. Caselle , A. D'Adda

The deconfinement phase transition of SU(2) Yang-Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by…

高能物理 - 理论 · 物理学 2013-01-18 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner

We investigate quark deconfinement by calculating the effective potential of the Polyakov loop using the non-perturbative propagators in the Landau gauge measured in the finite-temperature lattice simulation. With the leading term in the…

高能物理 - 唯象学 · 物理学 2015-06-05 Kenji Fukushima , Kouji Kashiwa

In the low temperature confining phase of QCD or QCD-like theories it is challenging to capture the temperature dependence of observables through AdS/CFT. Using the blackfold approach we compute the quark-antiquark linear static potential…

高能物理 - 理论 · 物理学 2015-06-23 Dimitrios Giataganas , Kevin Goldstein

The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good…

高能物理 - 格点 · 物理学 2017-06-06 Ahmed S. Bakry , Xurong Chen , Peng-Ming Zhang

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

高能物理 - 格点 · 物理学 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero
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