Lattice study of a magnetic contribution to heavy quark momentum diffusion
Abstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from th...
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Format: | Article |
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SpringerOpen
2022-08-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP08(2022)128 |
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author | D. Banerjee S. Datta M. Laine |
author_facet | D. Banerjee S. Datta M. Laine |
author_sort | D. Banerjee |
collection | DOAJ |
description | Abstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ (1.2 − 2.0)T c. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, κ. For charm (bottom) quarks, the magnetic contribution adds ∼ 30% (10%) to the electric one. The same increases apply also to the drag coefficient, η. As an aside, the colour-magnetic spectral function is computed at NLO. |
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issn | 1029-8479 |
language | English |
last_indexed | 2024-04-13T13:03:24Z |
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spelling | doaj.art-cea15cf3e89044c0903dbb7a4fcda56c2022-12-22T02:45:52ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022812310.1007/JHEP08(2022)128Lattice study of a magnetic contribution to heavy quark momentum diffusionD. Banerjee0S. Datta1M. Laine2Saha Institute of Nuclear PhysicsDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAEC, Institute for Theoretical Physics, University of BernAbstract Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ (1.2 − 2.0)T c. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, κ. For charm (bottom) quarks, the magnetic contribution adds ∼ 30% (10%) to the electric one. The same increases apply also to the drag coefficient, η. As an aside, the colour-magnetic spectral function is computed at NLO.https://doi.org/10.1007/JHEP08(2022)128Non-Zero Temperature and DensityLattice QCDQuark-Gluon PlasmaEffective Field Theories of QCD |
spellingShingle | D. Banerjee S. Datta M. Laine Lattice study of a magnetic contribution to heavy quark momentum diffusion Journal of High Energy Physics Non-Zero Temperature and Density Lattice QCD Quark-Gluon Plasma Effective Field Theories of QCD |
title | Lattice study of a magnetic contribution to heavy quark momentum diffusion |
title_full | Lattice study of a magnetic contribution to heavy quark momentum diffusion |
title_fullStr | Lattice study of a magnetic contribution to heavy quark momentum diffusion |
title_full_unstemmed | Lattice study of a magnetic contribution to heavy quark momentum diffusion |
title_short | Lattice study of a magnetic contribution to heavy quark momentum diffusion |
title_sort | lattice study of a magnetic contribution to heavy quark momentum diffusion |
topic | Non-Zero Temperature and Density Lattice QCD Quark-Gluon Plasma Effective Field Theories of QCD |
url | https://doi.org/10.1007/JHEP08(2022)128 |
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