Measuring infrared contributions to the QCD pressure

Abstract

For the pressure (or free energy) of QCD, four-dimensional (4d) lattice data is available at zero baryon density up to a few times the critical temperature $T_c$. Perturbation theory, on the other hand, has serious convergence problems even at very high temperatures. In a combined analytical and three-dimensional (3d) lattice method, we show that it is possible to compute the QCD pressure from about $2T_c$ to infinity. The numerical accuracy is good enough to resolve in principle, e.g., logarithmic contributions related to 4-loop perturbation theory.

arXiv comment3 pages; talk by Y. Schroder at Lattice2001(hightemp)

References in corpus (9)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Free Energy of QCD at High Temperature
• The Pressure in 2, 2+1 and 3 Flavour QCD
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• How to resum long-distance contributions to the QCD pressure?
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• O(a) errors in 3-D SU(N) Higgs theories

Cited by in corpus (5)

• The pressure of hot QCD up to g^6 ln(1/g)
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Covariant derivative expansion of Yang-Mills effective action at high temperatures
• Covariant derivative expansion of fermionic effective action at high temperatures
• Four-loop logarithms in 3d gauge + Higgs theory