Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma
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.
Cite
@article{arxiv.2602.22338,
title = {Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma},
author = {Amit Kumar and Abhijit Majumder and Ismail Soudi and Johannes Heinrich Weber},
journal= {arXiv preprint arXiv:2602.22338},
year = {2026}
}
Comments
6 pages + 1 figure including references: derivation includes resummation of higher-order terms, inclusion of more references