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Related papers: The Polyakov loop at next-to-next-to leading order

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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

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 study the Polyakov loop correlator in the weak coupling expansion and show how the perturbative series re-exponentiates into singlet and adjoint contributions. We calculate the order $g^7$ correction to the Polyakov loop correlator in…

High Energy Physics - Phenomenology · Physics 2020-02-05 Matthias Berwein , Nora Brambilla , Peter Petreczky , Antonio Vairo

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

Violation of the Lorentz symmetry has important effects on physical quantities including field propagators. Therefore, in addition to the leading order, the sub-leading order of quantities may be modified. In this paper, we calculate the…

High Energy Physics - Theory · Physics 2019-03-04 Amirhosein Mojavezi , Reza Moazzemi , Mohammad Ebrahim Zomorrodian

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

This is a progress report on the calculation of the effective potential for the Polyakov loop in $SU(N)$ pure gauge theory beyond two-loop order. We introduce a new approach using the Poisson resummation formula to compute sum-integrals…

High Energy Physics - Theory · Physics 2018-11-29 Hiromichi Nishimura , Chris Korthals-Altes , Robert D. Pisarski , Vladimir Skokov

We report on the perturbative computation of the 3d lattice Yang-Mills free energy to four loops by means of Numerical Stochastic Perturbation Theory. The known first and second orders have been correctly reproduced; the third and fourth…

High Energy Physics - Lattice · Physics 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder , C. Torrero

We calculate the free energy of a static quark anti-quark pair and the renormalized Polyakov loop in 2+1- and 3- flavor QCD using $16^3 \times 4$ and $16^3 \times 6$ lattices and improved staggered p4 action. We also compare the…

High Energy Physics - Lattice · Physics 2008-11-26 K. Petrov

We sum up the next-to-next-to-leading logarithmic virtual electroweak corrections to the high energy asymptotics of the neutral current four-fermion processes for light fermions to all orders in the coupling constants using the evolution…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. H. Kühn , S. Moch , A. A. Penin , V. A. Smirnov

Motivated by the sign problem, we calculate the effective Polyakov line action corresponding to certain SU(3) lattice gauge theories on a ${16^3 \times 6}$ lattice via the "relative weights" method introduced in our previous articles. The…

High Energy Physics - Lattice · Physics 2014-07-30 Jeff Greensite , Kurt Langfeld

A correlator of the vector current of a heavy quark is computed analytically near threshold in the next-to-next-to-leading order in perturbative and relativistic expansion that includes $\al_s^2$, $\al_sv$ and $v^2$ corrections in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Penin , A. A. Pivovarov

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 2015-11-03 Szabolcs Borsanyi , Zoltan Fodor , Sandor D. Katz , Kalman K. Szabo , Attila Pasztor , Csaba Torok

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field…

High Energy Physics - Lattice · Physics 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

We present a study of the free energy of parameterized Polyakov loops P in SU(2) and SU(3) lattice gauge theory as a function of the parameters that characterize P. We explore temperatures below and above the deconfinement transition, and…

High Energy Physics - Lattice · Physics 2015-06-05 Dmitri Diakonov , Christof Gattringer , Hans-Peter Schadler

We solve the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy including a resummation of large single and double transverse momentum logarithms to all orders. We numerically determine an optimal value for the constant…

High Energy Physics - Phenomenology · Physics 2016-05-06 T. Lappi , H. Mäntysaari

We calculate the time independent four-point function in high temperature (T) QCD and obtain the leading momentum dependent terms. Furthermore, we relate these derivative interactions to derivative terms in a recently proposed finite T…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Wirstam

We calculate the perturbative value of the Free Energy in Lattice QCD in three dimensions, up to three loops. Our calculation is performed using the Wilson formulation for gluons in SU(N) gauge theories. The Free Energy is directly related…

High Energy Physics - Lattice · Physics 2009-11-11 H. Panagopoulos , A. Skouroupathis , A. Tsapalis

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

In this Letter, we present for the first time a calculation of the complete next-to-leading order corrections to the $gg \to ZH$ process. We use the method of small mass expansion to tackle the most challenging two-loop virtual amplitude,…

High Energy Physics - Phenomenology · Physics 2022-09-20 Guoxing Wang , Xiaofeng Xu , Yongqi Xu , Li Lin Yang
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