# Debye screening mass of hot Yang-Mills theory to three-loop order

@article{Ghioiu2015DebyeSM, title={Debye screening mass of hot Yang-Mills theory to three-loop order}, author={I. Ghişoiu and J. M{\"o}ller and Y. Schr{\"o}der}, journal={Journal of High Energy Physics}, year={2015}, volume={2015}, pages={1-19} }

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 pressure of hot QCD.

#### Supplemental Presentations

#### 17 Citations

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#### References

SHOWING 1-10 OF 67 REFERENCES

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

Infrared Limit of the Axial Gauge Gluon Propagator at High Temperature

- Physics
- 1982

Abstract Based on a self-consistent solution of the Dyson equation at high temperature, we show that gluons acquire a magnetic mass-squared of order g3T2. This implies that colour magnetic fields are… Expand

Non-Abelian Debye mass at next-to-leading order.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1993

It is shown that, after a resummation of leading high-temperature contributions, a complete and gauge-independent result for the non-Abelian Debye screening mass at next-to-leading order can be… Expand

Next-to-leading order Debye mass for the quark-gluon plasma.

- Physics, Medicine
- Physical review letters
- 1994

The Debye screening mass for a quark-gluon plasma at high temperature is calculated to next-to-leading order in the QCD coupling constant from the correlator of two Polyakov loops. The result agrees… 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

Infrared problem in the thermodynamics of the Yang-Mills gas

- Physics
- 1980

Abstract It is shown that the infrared cutoff, which may appear in the quantum statistics of the massless Yang-Mills fields due to high temperature effects, cannot be greater than O( g 2 ) T , where… Expand

Open problems in hot QCD

- Physics
- 2010

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… Expand

Three-loop free energy for high-temperature QED and QCD with fermions.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1995

This work analytically computed the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential, which requires the evaluation of three-loop diagrams, and extends the previous result for pure gauge QCD. Expand

Gauge invariant values of gluon masses at high temperature

- Physics
- 1983

Abstract Both electric and magnetic gluon masses in the high temperature QCD plasma are evaluated up to of order g 3 2 . Gauge covariance is always kept in each step of calculations by taking account… Expand

Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories

- Physics
- 2012

A bstractPerturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes ~ g2T, which correspond to the fields of a 3d… Expand