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Related papers: Polyakov loop correlator in perturbation theory

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We study the Polyakov loop and the correlator of two Polyakov loops at finite temperature in the weak-coupling regime. We calculate the Polyakov loop at order g^4. The calculation of the correlator of two Polyakov loops is performed at…

High Energy Physics - Phenomenology · Physics 2010-10-27 Nora Brambilla , Jacopo Ghiglieri , Peter Petreczky , Antonio Vairo

We present the complete next-to-next-to-leading-order calculation of the correlation function of two Polyakov loops for temperatures smaller than the inverse distance between the loops and larger than the Coulomb potential. We discuss the…

High Energy Physics - Phenomenology · Physics 2011-06-15 Jacopo Ghiglieri

It appears well accepted in the literature that the correlator of Polyakov loops in a finite temperature system decays with the "average" free energy of the static quark-antiquark system, and can be decomposed into singlet and adjoint (or…

High Energy Physics - Lattice · Physics 2007-05-23 Oliver Jahn , Owe Philipsen

We calculate the next-to-next-to-leading correction to the expectation value of the Polyakov loop or equivalently to the free energy of a static charge. This correction is of order $g^5$. We show that up to this order the free energy of the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Matthias Berwein , Nora Brambilla , Peter Petreczky , Antonio Vairo

We review our present knowledge of the Polyakov loop, the correlator of Polyakov loops and the singlet correlator in thermal QCD from the point of view of perturbation theory and lattice QCD.

High Energy Physics - Phenomenology · Physics 2018-12-11 Antonio Vairo

The asymptotic behavior of the correlator for Polyakov loop operators separated by a large distance $R$ is determined for high temperature QCD. It is dominated by nonperturbative effects related to the exchange of magnetostatic gluons. To…

High Energy Physics - Phenomenology · Physics 2010-11-01 Eric Braaten , Agustin Nieto

We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection…

Analysis of PDEs · Mathematics 2015-11-16 Tomas Ekholm , Rupert L. Frank , Hynek Kovarik

We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices…

High Energy Physics - Lattice · Physics 2015-05-20 Szabolcs Borsányi , Zoltán Fodor , Sándor D. Katz , Attila Pásztor , Kálmán K. Szabó , Csaba Török

We discuss the renormalized free energy of a heavy quark anti-quark pair in the color singlet channel for quenched and full QCD at finite temperature. The temperature and mass dependence, as well as its short distance behavior is analyzed.…

High Energy Physics - Lattice · Physics 2009-11-10 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow

We give a short overview of the renormalization properties of rectangular Wilson loops, the Polyakov loop correlator and the cyclic Wilson loop. We then discuss how to renormalize loops with more than one intersection, using the simplest…

High Energy Physics - Theory · Physics 2015-06-18 Matthias Berwein , Nora Brambilla , Antonio Vairo

A popular observable in finite-temperature lattice QCD is the so-called singlet quark-antiquark free energy, conventionally defined in Coulomb gauge. In an effort to interpret the existing numerical data on this observable, we compute it at…

High Energy Physics - Phenomenology · Physics 2013-01-10 Y. Burnier , M. Laine , M. Vepsalainen

We calculate three-loop corrections to correlation functions of heavy-quark currents in the low- and high-energy regions. We present 30 coefficients both in the low-energy and the high-energy expansion of the scalar and the vector…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Maier , P. Marquard

We discuss color screening in 2+1 flavor QCD in terms of free energies of a static quark-antiquark pair. Thermal modifications of long distance correlations in quark-antiquark systems are studied in terms of static meson correlators. We…

High Energy Physics - Lattice · Physics 2016-02-01 Alexei Bazavov , Peter Petreczky , Johannes Heinrich Weber

We compute the correlation functions of Polyakov loops in $SU(N_c)$ gauge theories by explicitly summing all diagrams at tree level in two special cases, for $N_c = 2$ and $N_c = \infty$. When $N_c =2$ we find the expected we find…

High Energy Physics - Phenomenology · Physics 2015-02-05 Robert D. Pisarski , Vladimir V. Skokov

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

We compare two renormalization procedures, one based on the short distance behavior of heavy quark-antiquark free energies and the other by using bare Polyakov loops at different temporal extent of the lattice and find that both…

High Energy Physics - Lattice · Physics 2008-11-26 Olaf Kaczmarek , Sourendu Gupta , Kay Hubner

Polyakov loop eigenvalues and their N-dependence are studied in 2 and 4 dimensional SU(N) YM theory. The connected correlation function of the single eigenvalue distributions of two separated Polyakov loops in 2D YM is calculated and is…

High Energy Physics - Lattice · Physics 2015-06-16 Herbert Neuberger

We calculate an effective Polyakov line action of QCD at large Nc and large Nf from a combined lattice strong coupling and hopping expansion working to second order in both, where the order is defined by the number of windings in the…

High Energy Physics - Lattice · Physics 2015-06-18 Alexander S. Christensen , Joyce C. Myers , Peter D. Pedersen

We investigate the Polyakov loop effects on the QCD phase diagram by using the strong-coupling (1/g^2) expansion of the lattice QCD (SC-LQCD) with one species of unrooted staggered quark, including O}(1/g^4) effects. We take account of the…

High Energy Physics - Lattice · Physics 2017-06-27 Kohtaroh Miura , Noboru Kawamoto , Takashi Z. Nakano , Akira Ohnishi

We study correlation functions of static quark-antiquark pairs in SU(2) gauge theory at finite temperature. By measuring Polyakov loop correlators and temporal Wilson loops with APE smearing of spatial links we are able to give consistent…

High Energy Physics - Lattice · Physics 2010-01-21 Alexei Bazavov , Peter Petreczky , Alexander Velytsky
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