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arXiv · 2602.22338

Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma

Amit Kumar·Abhijit Majumder·Ismail Soudi·Johannes Heinrich Weber
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Abstract

We derive a fluctuation dissipation relation connecting the drag and diffusion jet transport coefficients for an energetic light quark traversing a non-perturbative thermalized gluon plasma. The hard quark is taken to be close to on-shell, with an energy scale parametrically larger than the medium temperature. We introduce a general complex-valued function for each transport coefficient. Evaluating these in the deep Euclidean momentum region enables their expression in terms of local operators. Using contour-integration techniques, we relate these local operators, after vacuum subtraction, to the physical transport coefficients that arise along a branch cut, close to light-like dispersion. The derived relation relates the longitudinal drag coefficient to the longitudinal and transverse diffusion coefficients, and the thermal gluon condensate.

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Amit Kumar, Abhijit Majumder, Ismail Soudi, Johannes Heinrich Weber. 2026-02-25. Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma. https://arxiv.org/abs/2602.22338

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