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

Burnier Y, Laine M, Langelage J, Mether L (2010)
JHEP 2010(8).

Journal Article | Published | English

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Abstract
The spectral function related to the correlator of two colour-electric fields along a Polyakov loop determines the momentum diffusion coefficient of a heavy quark near rest with respect to a heat bath. We compute this spectral function at next-to-leading order, O(alpha_s^2), in the weak-coupling expansion. The high-frequency part of our result (omega >> T), which is shown to be temperature-independent, is accurately determined thanks to asymptotic freedom; the low-frequency part of our result (omega << T), in which Hard Thermal Loop resummation is needed in order to cure infrared divergences, agrees with a previously determined expression. Our result may help to calibrate the overall normalization of a lattice-extracted spectral function in a perturbative frequency domain T << omega << 1/a, paving the way for a non-perturbative estimate of the momentum diffusion coefficient at omega -> 0. We also evaluate the colour-electric Euclidean correlator, which could be directly compared with lattice simulations. As an aside we determine the Euclidean correlator in the lattice strong-coupling expansion, showing that through a limiting procedure it can in principle be defined also in the confined phase of pure Yang-Mills theory, even if a practical measurement could be very noisy there.
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Cite this

Burnier Y, Laine M, Langelage J, Mether L. Colour-electric spectral function at next-to-leading order. JHEP. 2010;2010(8).
Burnier, Y., Laine, M., Langelage, J., & Mether, L. (2010). Colour-electric spectral function at next-to-leading order. JHEP, 2010(8).
Burnier, Y., Laine, M., Langelage, J., and Mether, L. (2010). Colour-electric spectral function at next-to-leading order. JHEP 2010.
Burnier, Y., et al., 2010. Colour-electric spectral function at next-to-leading order. JHEP, 2010(8).
Y. Burnier, et al., “Colour-electric spectral function at next-to-leading order”, JHEP, vol. 2010, 2010.
Burnier, Y., Laine, M., Langelage, J., Mether, L.: Colour-electric spectral function at next-to-leading order. JHEP. 2010, (2010).
Burnier, Yannis, Laine, Mikko, Langelage, Jens, and Mether, Lotta. “Colour-electric spectral function at next-to-leading order”. JHEP 2010.8 (2010).
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