Open problems in hot QCD

@article{Moeller2010OpenPI,
  title={Open problems in hot QCD},
  author={Jesse Moeller and Y. Schroder},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2010},
  pages={218-223}
}
We try to give a comprehensive review of the main methods used in modern multi-loop calculations in finite-temperature field theory. While going through explicit examples, we point out similarities and differences with respect to the zero-temperature case, utilizing common techniques in a transparent way whenever possible. 
Automated computation meets hot QCD
We give a short review on recent progress in the field of automated calculations in finite-temperature field theory, where integration-by-parts techniques have proven (almost) as useful as in theExpand
Automated computation meets hot QCD
We give a short review on recent progress in the field of automatedcalculations in finite-temperature field theory, where integration-by-partstechniques have proven (almost) as useful as in theExpand
3-loop gauge coupling for hot gauge theories
This talk offers a brief review of the determination of coupling constants in the framework of dimensionally reduced effective field theories for thermal QCD, specializing on its gluonic sector.Expand
Debye screening mass of hot Yang-Mills theory to three-loop order
A bstractBuilding upon our earlier work, we compute a Debye mass of finite-temperature Yang-Mills theory to three-loop order. As an application, we determine a g7 contribution to the thermodynamicExpand
IBP methods at finite temperature
A bstractWe demonstrate the applicability of integration-by-parts (IBP) identities in finite-temperature field theory. As a concrete example, we perform 3-loop computations for the thermodynamicExpand
A new three-loop sum-integral of mass dimension two
A bstractWe evaluate a new 3-loop sum-integral which contributes to the Debye screening mass in hot QCD. While we manage to derive all divergences analytically, its finite part is mapped onto simpleExpand
Dimensionally reduced QCD at high temperature
Finite-temperature QCD at high temperature T exhibits three different momentum scales T,gT and g2T. Naive perturbation theory in a small gauge coupling g does not work beyond leading order. In theExpand
The pressure of hot QCD
When heated and/or compressed, strongly interacting matter exhibits a rich phase structure. In this talk, I will concentrate on its behavior under variations of the temperature, which is mostExpand
Three-loop matching coefficients for hot QCD: reduction and gauge independence
A bstractWe perform an integral reduction for the 3-loop effective gauge coupling and screening mass of QCD at high temperatures, defined as matching coefficients appearing in the dimensionallyExpand
Fully massive tadpoles at 5-loop: reduction and difference equations
Loop integrals are essential for the computation of predictions in quantum field theories like the Standard Model of elementary particle physics. For instance, in the case of anomalous dimensions ofExpand
...
1
2
...

References

SHOWING 1-8 OF 8 REFERENCES
Loops for Hot QCD
In this talk we review the status concerning vacuum integrals needed in perturbative expansions of QCD at non-zero temperature. We will focus on the differences as compared to familiarExpand
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 couplingExpand
Pressure to order g8log g of massless ϕ4 theory at weak coupling
We calculate the pressure of massless 4-theory to order g8log (g) at weak coupling. The contributions to the pressure arise from the hard momentum scale of order T and the soft momentum scale ofExpand
The Number of Master Integrals is Finite
For a fixed Feynman graph one can consider Feynman integrals with all possible powers of propagators and try to reduce them, by linear relations, to a finite subset of integrals, the so-called masterExpand
Algorithm FIRE—Feynman Integral REduction
The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-basesExpand
Three-loop free energy for pure gauge QCD.
  • Arnold, Zhai
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1994
TLDR
The free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential is computed and a result for the free energy of scalar [phi][sup 4] theory is given. Expand
Three-loop relation of quark $$\overline {MS} $$ and pole masses
AbstractWe calculate, exactly, the next-to-leading correction to the relation between the $$\overline {MS} $$ quark mass, $$\bar m$$ , and the scheme-independent pole mass,M, and obtainExpand
, Mathematica , Version 7 . 0 , Champaign , IL ( 2008 ) . 9 . A . A . Vladimirov