Three-loop HTL gluon thermodynamics at intermediate coupling

Andersen, Jens O.; Strickland, Michael; Su, Nan

doi:10.1007/jhep08(2010)113

Cited by 84 publications

(113 citation statements)

References 81 publications

(144 reference statements)

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“…There are preliminary results available on the lattice, but none are continuum extrapolated, and so we do not show these. The results of HTL resummation are very small [14]. This is expected: in perturbation theory the pressure is µ 4 times a power series in the coupling constant.…”

Section: Sixth Order Susceptibilitiesmentioning

confidence: 81%

“…The chiral matrix model agrees very well with the lattice results up to temperatures of ∼ 200 MeV, and then goes more quickly to a constant value than the lattice data. In contrast, HTL resummation gives essentially a constant value [14]. More surprising, a sigma model, which includes chiral symmetry restoration but not the change in the Polyakov loop, is much higher than the lattice data.…”

Section: B Fourth Order Susceptibilitiesmentioning

confidence: 88%

“…Also, the peak in the interaction The red band are the results from lattice simulations [7]. The dashed blue line is that of NNLO HTL perturbation theory, with the band changing the renormalization mass scale by a factor of two [14]. measure is at ∼ 220 MeV, versus ∼ 200 MeV from the lattice.…”

Section: Thermodynamicsmentioning

confidence: 98%

“…(V D), so that [7]. The dashed blue line is that of NNLO HTL perturbation theory, with the band changing the renormalization mass scale by a factor of two [14].…”

Section: Behavior Of the Order Parametersmentioning

confidence: 99%

“…Lattice simulations demonstrate that in equilibrium, a noninteracting gas of hadrons works well up to rather high temperatures, about ∼ 130 MeV [1,2,[6][7][8][9][10][11][12][13]. Similarly, resummations of perturbation theory, such as using Hard Thermal Loops (HTL's) at Next to-Next to-Leading order (NNLO), work down to about ∼ 300 or ∼ 400 MeV [14]. What is difficult to treat is the region between ∼ 130 and ∼ 300 − 400 MeV, which has been termed the "sQGP", or strong Quark-Gluon Plasma.…”

Section: Introductionmentioning

confidence: 99%

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Chiral matrix model of the semi-QGP in QCD

Pisarski¹,

Skokov²

2016

Phys. Rev. D

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Previously, a matrix model of the region near the transition temperature, in the "semi"-Quark Gluon Plasma, was developed for the theory of SU (3) gluons without quarks. In this paper we develop a a chiral matrix model applicable to QCD by including dynamical quarks with 2 + 1 flavors. This requires adding a nonet of scalar fields, with both parities, and coupling these to quarks through a Yukawa coupling, y. Treating the scalar fields in mean field approximation, the effective Lagrangian is computed by integrating out quarks to one loop order. As is standard, the potential for the scalar fields is chosen to be symmetric under the flavor symmetry of SU (3) L × SU (3) R × Z(3) A , except for a term linear in the current quark mass, m qk . In addition, at a nonzero temperature T it is necessary to add a new term, ∼ m qk T 2 . The parameters of the gluon part of the matrix model are identical to that for the pure glue theory without quarks. The parameters in the chiral matrix model are fixed by the values, at zero temperature, of the pion decay constant and the masses of the pions, kaons, η, and η . The temperature for the chiral crossover at T χ = 155 MeV is determined by adjusting the Yukawa coupling y. We find reasonable agreement with the results of numerical simulations on the lattice for the pressure and related quantities. In the chiral limit, besides the divergence in the chiral susceptibility there is also a milder divergence in the susceptibility between the Polyakov loop and the chiral order parameter, with critical exponent β − 1. We compute derivatives with respect to a quark chemical potential to determine the susceptibilities for baryon number, the χ 2n . Especially sensitive tests are provided by χ 4 − χ 2 and by χ 6 , which changes in sign about T χ . The behavior of the susceptibilities in the chiral matrix model strongly suggests that as the temperature increases from T χ , that the transition to deconfinement is significantly quicker than indicated by the measurements of the (renormalized) Polyakov loop on the lattice. * pisarski@bnl.gov † vskokov@bnl.gov 2

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Section: Sixth Order Susceptibilitiesmentioning

confidence: 81%

Section: B Fourth Order Susceptibilitiesmentioning

confidence: 88%

Section: Thermodynamicsmentioning

confidence: 98%

“…(V D), so that [7]. The dashed blue line is that of NNLO HTL perturbation theory, with the band changing the renormalization mass scale by a factor of two [14].…”

Section: Behavior Of the Order Parametersmentioning

confidence: 99%