Transverse momentum broadening and the jet quenching parameter, redux
Author(s)
D'Eramo, Francesco; Liu, Hong; Rajagopal, Krishna![Thumbnail](/bitstream/handle/1721.1/68662/DEramo-2011-Transverse%20momentum%20broadening%20and%20the%20jet.pdf.jpg?sequence=8&isAllowed=y)
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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.
Date issued
2011-09Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. School of ScienceJournal
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
ISSN
1550-7998
1089-4918