The N_f^3 g^6 term in the pressure of hot QCD

Abstract

We determine the first independent part of the g^6 coefficient in the weak coupling expansion of the QCD pressure at high temperatures, the one proportional to the maximal power of the number of quark flavors N_f. In addition to introducing and developing computational methods that can be used in evaluating other parts of the expansion, our calculation provides a result that becomes dominant in the limit of large N_f and a fixed effective coupling g_{eff}^2 = g^2 N_f/2.

9 pages, 2 figures, revtex, v2: minor modifications and additional references

References in corpus (7)

• The QCD Equation of State with almost Physical Quark Masses
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• Four-loop pressure of massless O(N) scalar field theory
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory
• The fermion mass at next-to-leading order in the HTL effective theory
• On the dispersion of fundamental particles in QCD and N=4 Super Yang-Mills theory

Cited by in corpus (8)

• Perturbative Thermal QCD: Formalism and Applications
• Three-loop HTL QCD thermodynamics
• Cold quark matter at N3LO: soft contributions
• On high-order perturbative calculations at finite density
• A new method for taming tensor sum-integrals
• Degenerate fermionic matter at N${}^3$LO: Quantum Electrodynamics
• Integrating by parts at finite density
• Probing the finite density equation of state of QCD via resummed perturbation theory