The free energy of hot QED at fifth order

Parwani, Rajesh R.

doi:10.1016/0370-2693(94)90708-0

Cited by 34 publications

(38 citation statements)

References 18 publications

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“…[9] for details of how to implement this form of reorganization on two-loop graphss FIG. 6. Diagrams contributing to the free energy in gauge theory.…”

Section: Threeloop Free Energy For Pure Gauge Qcdmentioning

confidence: 99%

“…We shall compute a n analytic result for the full 0 ( g 4 ) contribution. In somewhat related work, Corianb and Parwani [5] have recently studied high-temperature QED and numerically extracted the O(g4) contribution, and Parwani [6] has also found the O(g5) piece. (Unlike in non-Abelian gauge theory, the perturbation series in QED does not break down after g 5 .…”

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confidence: 99%

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Three-loop free energy for pure gauge QCD

1994

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We compute the free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential. The three-loop result to o (~~) is where T is the temperature, C is the Riemann zeta function, g~ g(,ii)~i'2, ji is the MS renormalization scale, g(p) is the corresponding coupling constant, and d~ and CA are the dimension and Casimir number of the adjoint representation. We examine the sensitivity of this result to the choice of renormalization scale ,ii. We also give a result for the free energy of scalar d4 theory, correcting a result previously given in the literature. PACS number(s): ll.lO.Wx, 12.38.B~ PETER ARNOLD AND CHENGXING ZHAI 50 -

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“…[9] for details of how to implement this form of reorganization on two-loop graphss FIG. 6. Diagrams contributing to the free energy in gauge theory.…”

Section: Threeloop Free Energy For Pure Gauge Qcdmentioning

confidence: 99%

mentioning

confidence: 99%

Three-loop free energy for pure gauge QCD

1994

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“…For example, the thermodynamic functions can be calculated as power series in the coupling constant g at weak coupling and advanced calculational techniques have been developed in order to go beyond the first few corrections. The pressure has been calculated through order g 5 for massless 4 -theory [5,6], massless QED [7][8][9], and massless non-Abelian gauge theories [10][11][12]. Very recently, the calculation frontier has been pushed to order g 6 in massless 4 -theory by Gynther, Laine, Schröder, Torrero, and Vuorinen [13].…”

Section: Introductionmentioning

confidence: 99%

Four-loop screened perturbation theory

Andersen

Kyllingstad

2008

Phys. Rev. D

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We study the thermodynamics of massless phi-fourth theory using screened perturbation theory. In this method, the perturbative expansion is reorganized by adding and subtracting a thermal mass term in the Lagrangian. We calculate the free energy through four loops expanding in a double power expansion in m/T and g^2, where m is the thermal mass and g is the coupling constant. The expansion is truncated at order g^7 and the loop expansion is shown to have better convergence properties than the weak-coupling expansion. The free energy at order g^6 involves the four-loop triangle sum-integral evaluated by Gynther, Laine, Schroeder, Torrero, and Vuorinen using methods developed by Arnold and Zhai. The evaluation of the free energy at order g^7 requires the evaluation of a nontrivial three-loop sum-integral, which we calculate by the same methods.Comment: 34 pages, 6 figures, RevTe

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“…The free energy for a massless scalar field with a a4 interaction was computed to order g4 by Frenkel, Saa, and Taylor [I] in 1992, and the order-g5 correction was recently calculated by Parwani and Singh [2]. The free energy for high-temperature QED was calculated to order e4 by Coriano and Parwani [3], and extended to order e5 by Parwani [4]. The free energy for a quark-gluon plasma in the high-temperature limit was recently calculated to order g4 by Arnold and Zhai [5].…”

Section: Introductionmentioning

confidence: 99%

Effective field theory approach to high-temperature thermodynamics

1995

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An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature T and weak coupling g. The effective theory is the three-dimensional field theory obtained by dimensional reduction to the bosonic zero-frequency modes. The parameters of the effective theory can be calculated as a perturbation series in the running coupling constant g 2 (~) .The free energy is separated into the contributions from the momentum scales T and gT, respectively. The first term can be written as a perturbation series in g 2 (~) .If all forces are screened at the scale gT, the second term can be calculated as a perturbation series in g(T) beginning at order g3. The parameters of the effective theory satisfy renormalization group equations that can be used to sum up leading logarithms of T/(gT). We apply this method to a massless scalar field with a a4 interaction, calculating the free energy to order g6 lng and the screening mass to order g5 lng.PACS number(s): 11.1O.W~ -EFFECTIVE FIELD THEORY APPROACH TO HIGH-. . . 6993

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The free energy of hot QED at fifth order

Cited by 34 publications

References 18 publications

Three-loop free energy for pure gauge QCD

Three-loop free energy for pure gauge QCD

Four-loop screened perturbation theory

Effective field theory approach to high-temperature thermodynamics

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