Colour-electric spectral function at next-to-leading order

Burnier, Yannis; Laine, M.; Langelage, Jens; Mether, L.

doi:10.1007/jhep08(2010)094

Cited by 61 publications

(120 citation statements)

References 34 publications

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“…The spectral function ρ HQET has been studied in detail at nextto-leading order in perturbation theory [65]. Remarkably, even in the weak-coupling limit, the function is smooth as small frequencies.…”

Section: If One Inserts the Spectral Function (137) Derived From The mentioning

confidence: 99%

“…Because of the smoothness of the kernel relating the spectral den- [157]. The absolute normalization has been determined by matching the data at tT = 1 4 and T = 3.1Tc with the NLO result of Burnier et al [65]. Bottom: the quantity Ω(t), defined in Eq.…”

Section: The Electric Conductivitymentioning

confidence: 99%

“…(259). The '+' denote the O(g 4 ) prediction at 3Tc [65]. The '×' denote the function Ω(t) that results from adding the low-frequency contribution ∆ρ(ω) = sity to the Euclidean correlator, it is difficult to separately determine the width and height of the peak in the longitudinal current correlator from Euclidean data.…”

Section: The Electric Conductivitymentioning

confidence: 99%

“…Since this normalizing factor has not yet been calculated, the nextto-leading order perturbative calculation of Burnier et al [65] was used to normalize the lattice correlator. The condition that the lattice correlator agree with the perturbative correlator at relatively short distances (tT = 1 4 ) and T = 3.1T c was used.…”

Section: Heavy Quark Diffusionmentioning

confidence: 99%

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Transport properties of the quark-gluon plasma

2011

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Abstract. Transport properties of a thermal medium determine how its conserved charge densities (for instance the electric charge, energy or momentum) evolve as a function of time and eventually relax back to their equilibrium values. Here the transport properties of the quark-gluon plasma are reviewed from a theoretical perspective. The latter play a key role in the description of heavy-ion collisions, and are an important ingredient in constraining particle production processes in the early universe. We place particular emphasis on lattice QCD calculations of conserved current correlators. These Euclidean correlators are related by an integral transform to spectral functions, whose small-frequency form determines the transport properties via Kubo formulae. The universal hydrodynamic predictions for the small-frequency pole structure of spectral functions are summarized. The viability of a quasiparticle description implies the presence of additional characteristic features in the spectral functions. These features are in stark contrast with the functional form that is found in strongly coupled plasmas via the gauge/gravity duality. A central goal is therefore to determine which of these dynamical regimes the quark-gluon plasma is qualitatively closer to as a function of temperature. We review the analysis of lattice correlators in relation to transport properties, and tentatively estimate what computational effort is required to make decisive progress in this field.

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Section: If One Inserts the Spectral Function (137) Derived From The mentioning

confidence: 99%

Section: The Electric Conductivitymentioning

confidence: 99%

Section: The Electric Conductivitymentioning

confidence: 99%

Section: Heavy Quark Diffusionmentioning

confidence: 99%

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Transport properties of the quark-gluon plasma

2011

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“…They exhibit a clear enhancement over the next-to-leading order (NLO) prediction from ref. [25]. A continuum extrapolation remains to be carried out.…”

Section: Pos(lattice 2013)453mentioning

confidence: 99%

Towards the Continuum Limit in Transport Coefficient Computations

Francis¹,

Kaczmarek²,

Laine³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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The analytic continuation needed for the extraction of transport coefficients necessitates in principle a continuous function of the Euclidean time variable. We report on progress towards achieving the continuum limit for 2-point correlator measurements in thermal SU(3) gauge theory, with specific attention paid to scale setting. In particular, we improve upon the determination of the critical lattice coupling and the critical temperature of pure SU(3) gauge theory, estimating r 0 T c ≃ 0.7470(7) after a continuum extrapolation. As an application the determination of the heavy quark momentum diffusion coefficient from a correlator of colour-electric fields attached to a Polyakov loop is discussed.

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Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

Binder

Mukaida

Scheihing-Hitschfeld

et al. 2022

J. High Energ. Phys.

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We perform a complete next-to-leading order calculation of the non-Abelian electric field correlator in a SU(Nc) plasma, which encodes properties of the plasma relevant for heavy particle bound state formation and dissociation, and is different from the correlator for the heavy quark diffusion coefficient. The calculation is carried out in the real-time formalism of thermal field theory and includes both vacuum and finite temperature contributions. By working in the Rξ gauge, we explicitly show the results are gauge independent, infrared and collinear safe. The renormalization group equation of this electric field correlator is determined by that of the strong coupling constant. Our next-to-leading order calculation can be directly applied to any dipole singlet-adjoint transition of heavy particle pairs. For example, it can be used to describe dissociation and (re)generation of heavy quarkonia inside the quark-gluon plasma well below the melting temperature, as well as heavy dark matter pairs (or charged co-annihilating partners) in the early universe.

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Colour-electric spectral function at next-to-leading order

Cited by 61 publications

References 34 publications

Transport properties of the quark-gluon plasma

Transport properties of the quark-gluon plasma

Towards the Continuum Limit in Transport Coefficient Computations

Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport

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