Jet transport coefficient $\hat{q}$ in lattice QCD
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866909504386367488 |
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| author | Kumar, Amit Majumder, Abhijit Weber, Johannes Heinrich |
| author_facet | Kumar, Amit Majumder, Abhijit Weber, Johannes Heinrich |
| contents | We present the first calculation of the jet transport coefficient $\hat{q}$ in quenched and (2+1)-flavor QCD on a 4-D Euclidean lattice. The light-like propagation of an energetic parton is factorized from the mean square gain in momentum transverse to the direction of propagation, which is expressed in terms of the thermal field-strength field-strength correlator. The leading-twist term in its operator product expansion is calculated on the lattice. Continuum extrapolated quenched results, and full QCD estimates based on un-renormalized lattice data, over multiple lattice sizes, are compared with (non) perturbative calculations and phenomenological extractions of $\hat{q}$. The lattice data for $\hat{q}$ show a temperature dependence similar to the entropy density. Within uncertainties, these are consistent with phenomenological extractions, contrary to calculations using perturbation theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2010_14463 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Jet transport coefficient $\hat{q}$ in lattice QCD Kumar, Amit Majumder, Abhijit Weber, Johannes Heinrich High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory We present the first calculation of the jet transport coefficient $\hat{q}$ in quenched and (2+1)-flavor QCD on a 4-D Euclidean lattice. The light-like propagation of an energetic parton is factorized from the mean square gain in momentum transverse to the direction of propagation, which is expressed in terms of the thermal field-strength field-strength correlator. The leading-twist term in its operator product expansion is calculated on the lattice. Continuum extrapolated quenched results, and full QCD estimates based on un-renormalized lattice data, over multiple lattice sizes, are compared with (non) perturbative calculations and phenomenological extractions of $\hat{q}$. The lattice data for $\hat{q}$ show a temperature dependence similar to the entropy density. Within uncertainties, these are consistent with phenomenological extractions, contrary to calculations using perturbation theory. |
| title | Jet transport coefficient $\hat{q}$ in lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2010.14463 |