Loops for Hot QCD

Schröder, York

doi:10.1016/j.nuclphysbps.2008.09.120

Cited by 12 publications

(13 citation statements)

References 16 publications

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“…[1]), and the many unsolved technical challenges one is confronted with when dealing with phenomenological problems in cosmological or heavy-ioncollision related contexts that are formulated within finite temperature field theory on the other hand (see, e.g. [2][3][4][5][6]), we continue our line of systematic investigation of the latter class of problems [7][8][9][10][11][12]. Once more diving into a complicated and rather technical issue, our aim is to exhibit and develop generic tools that allow for progress on the thermodynamic (equilibrium) front.…”

Section: Introductionmentioning

confidence: 92%

A new method for taming tensor sum-integrals

Ghisoiu

Schröder

2012

J. High Energ. Phys.

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We report on the computation of a class of massless bosonic three-loop vacuum sum-integrals which are key building blocks for an evaluation of the Debye screening mass in hot QCD. Generalizing known techniques and introducing the concept of tensor reduction by dimensionality shifts (known to the zero-temperature community since the work of Tarasov in 1996) to finite temperature, we are able to treat hitherto unaccessible cases, which will allow us to finalize the long-term project of NNLO Debye mass evaluation.

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Section: Introductionmentioning

confidence: 92%

A new method for taming tensor sum-integrals

Ghisoiu

Schröder

2012

J. High Energ. Phys.

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“…After reduction, we can express all quantities as a sum of 1-and 3-loop master integrals (there are no master integrals at 2-loop order, see [5,10]) of the generic types depicted on the second row of Fig. 2, the structure being…”

Section: Structure Of the Resultsmentioning

confidence: 99%

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

Møller

Schröder

2012

J. High Energ. Phys.

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Abstract:We 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 reduced effective field theory (EQCD). Expressing both parameters in terms of a set master (sum-) integrals, we show explicit gauge parameter independence. The lack of suitable methods for solving the comparatively large number of master integrals forbids the complete evaluation at the moment. Taking one generic class of masters as an example, we highlight the calculational techniques involved. The full result would allow to improve on one of the classic probes for the convergence of the weak-coupling expansion at high temperatures, namely the comparison of full and effective theory determinations of the spatial string tension. Furthermore, the full result would also allow to determine one new contribution of order O g 7 to the pressure of hot QCD.

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“…[20 -22]), to enable basis transforms among master sum-integrals (see below), or even to aid in managing the infrared (IR) behavior of Matsubara summands when evaluating master integrals [23]. To show two concrete examples, IBP has revealed that a non-trivial 2-loop sunset-sum-integral [24] and a non-trivial 3-loop mercedes-sum-integral vanish identically:…”

Section: Sum-integral Reduction Via Ibpmentioning

confidence: 99%