# 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.

#### 18 Citations

Automated computation meets hot QCD

- Physics, Computer Science
- 2012

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 the… Expand

Automated computation meets hot QCD

- Computer Science, Physics
- 2012

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 the… Expand

3-loop gauge coupling for hot gauge theories

- Physics
- 2018

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

- Physics
- 2015

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 thermodynamic… Expand

IBP methods at finite temperature

- Physics
- 2012

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 thermodynamic… Expand

A new three-loop sum-integral of mass dimension two

- Physics
- 2012

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 simple… Expand

Dimensionally reduced QCD at high temperature

- Physics
- 2012

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 the… Expand

The pressure of hot QCD

- Physics
- 2016

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 most… Expand

Three-loop matching coefficients for hot QCD: reduction and gauge independence

- Physics
- 2012

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 dimensionally… Expand

Fully massive tadpoles at 5-loop: reduction and difference equations

- Mathematics
- 2016

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 of… Expand

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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 familiar… Expand

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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… Expand

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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 of… Expand

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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 master… Expand

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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

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AbstractWe calculate, exactly, the next-to-leading correction to the relation between the
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, Mathematica , Version 7 . 0 , Champaign , IL ( 2008 ) . 9 . A . A . Vladimirov