• Corpus ID: 14012857

Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure

@article{Torrero2007Towards4N,
  title={Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure},
  author={Christian Torrero and Mikko Laine and York Schroder and Francesco Di Renzo and Vincenzo Miccio},
  journal={arXiv: High Energy Physics - Lattice},
  year={2007}
}
Thanks to dimensional reduction, the contributions to the hot QCD pressure coming from so-called soft modes can be studied via an effective three-dimensional theory named Electrostatic QCD (spatial Yang-Mills fields plus an adjoint Higgs scalar). The poor convergence of the perturbative series within EQCD suggests to perform lattice measurements of some of the associated gluon condensates. These turn out, however, to be plagued by large discretization artifacts. We discuss how Numerical… 

Figures from this paper

The diagonal and off-diagonal quark number susceptibility of high temperature and finite density QCD
We study the quark number susceptibility of the hot quark-gluon plasma at zero and non-zero quark number density, using lattice Monte Carlo simulations of an effective theory of QCD, electrostatic
Dimensional Reduction Near the Deconfinement Transition
When ordinary nuclear matter is heated to a high temperature of ∼ 1012K, it undergoes a deconfinement transition to a new phase, strongly interacting quark-gluon plasma. While the color charged
High loop renormalization constants by NSPT: a status report
We present an update on Numerical Stochastic Perturbation Theory projects for Lattice QCD, which are by now run on apeNEXT. As a first issue, we discuss a st rategy to tackle finite size effects
C:/Documents and Settings/franz/Documenti/backup_31Ott06/backup_ignazino/downloads/dipartimento/lat07/PROC/PoS(LATTICE2007)240.dvi
  • 2007

References

SHOWING 1-10 OF 28 REFERENCES
Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory
The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from ``hard'' thermal momenta, and slowly convergent as well as non-perturbative contributions
Plaquette expectation value and gluon condensate in three dimensions
In three dimensions, the gluon condensate of pure SU(3) gauge theory has ultraviolet divergences up to 4-loop level only. By subtracting the corresponding terms from lattice measurements of the
The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
Using Numerical Stochastic Perturbation Theory within three-dimensional pure SU(3) gauge theory, we estimate the last unknown renormalization constant that is needed for converting the vacuum energy
Four-Loop Vacuum Energy Density of the SU(Nc) + Adjoint Higgs Theory
We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master
Four-loop pressure of massless O(N) scalar field theory
Inspired by the corresponding problem in QCD, we determine the pressure of massless O(N) scalar field theory up to order g 6 in the weak-coupling expansion, where g 2 denotes the quartic coupling
Free energy and plaquette expectation value for gluons on the lattice, in three dimensions
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
The Pressure of hot QCD up to g6 ln(1/g)
The free energy density, or pressure, of QCD has at high temperatures an expansion in the coupling constant g, known so far up to order g^5. We compute here the last contribution which can be
On the Apparent Convergence of Perturbative QCD at High Temperature
The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an
...
...