Transverse momentum broadening and the jet quenching parameter, redux
Name
DEramo-2011-Transverse momentum broadening and the jet.pdf
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536.2 KB
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Author(s)
D'Eramo, Francesco
Liu, Hong
Rajagopal, Krishna
Date Issued
September 2011
Journal
Physical Review D
Publisher
American Physical Society (APS)
Citation
D’Eramo, Francesco, Hong Liu, and Krishna Rajagopal. “Transverse momentum broadening and the jet quenching parameter, redux.” Physical Review D 84.6 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
We use soft collinear effective theory (SCET) to analyze the transverse momentum broadening, or diffusion in transverse momentum space, of an energetic parton propagating through quark-gluon plasma. Since we neglect the radiation of gluons from the energetic parton, we can only discuss momentum broadening, not parton energy loss. The interaction responsible for momentum broadening in the absence of radiation is that between the energetic (collinear) parton and the Glauber modes of the gluon fields in the medium. We derive the effective Lagrangian for this interaction, and we show that the probability for picking up transverse momentum k[subscript ⊥] is given by the Fourier transform of the expectation value of two transversely separated lightlike path-ordered Wilson lines. This yields a field-theoretical definition of the jet-quenching parameter q̂, and shows that this can be interpreted as a diffusion constant. We close by revisiting the calculation of q̂ for the strongly coupled plasma of N=4 SYM theory, showing that previous calculations need some modifications that make them more straightforward and do not change the result.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. School of Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.84.065015
