Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma
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| Format: | Preprint |
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2026
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| _version_ | 1866915858462277632 |
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| author | Kumar, Amit Majumder, Abhijit Soudi, Ismail Weber, Johannes Heinrich |
| author_facet | Kumar, Amit Majumder, Abhijit Soudi, Ismail Weber, Johannes Heinrich |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_22338 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma Kumar, Amit Majumder, Abhijit Soudi, Ismail Weber, Johannes Heinrich High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory 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. |
| title | Fluctuation-Dissipation Relation for Hard Partons in a Gluonic Plasma |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2602.22338 |