Transverse momentum broadening and the jet quenching parameter, redux
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 broa...
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| Format: | Article |
| Language: | en_US |
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American Physical Society (APS)
2012
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| Online Access: | http://hdl.handle.net/1721.1/68662 https://orcid.org/0000-0002-4911-3183 https://orcid.org/0000-0001-5812-8718 |
| _version_ | 1826191412806287360 |
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| author | D'Eramo, Francesco Liu, Hong Rajagopal, Krishna |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics D'Eramo, Francesco Liu, Hong Rajagopal, Krishna |
| author_sort | D'Eramo, Francesco |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:55:48Z |
| format | Article |
| id | mit-1721.1/68662 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:55:48Z |
| publishDate | 2012 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/686622022-09-30T12:12:40Z Transverse momentum broadening and the jet quenching parameter, redux D'Eramo, Francesco Liu, Hong Rajagopal, Krishna Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. School of Science Hong, Liu D'Eramo, Francesco Liu, Hong Rajagopal, Krishna 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. United States. Dept. of Energy United States. Dept. of Energy. Office of High Energy Physics (Grant DE-FG02-94ER40818) United States. Dept. of Energy. Office of High Energy Physics (Grant DE-FG02-05ER41360) 2012-01-25T22:26:03Z 2012-01-25T22:26:03Z 2011-09 2010-09 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1089-4918 http://hdl.handle.net/1721.1/68662 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 https://orcid.org/0000-0002-4911-3183 https://orcid.org/0000-0001-5812-8718 en_US http://dx.doi.org/10.1103/PhysRevD.84.065015 Physical Review D 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. application/pdf American Physical Society (APS) APS |
| spellingShingle | D'Eramo, Francesco Liu, Hong Rajagopal, Krishna Transverse momentum broadening and the jet quenching parameter, redux |
| title | Transverse momentum broadening and the jet quenching parameter, redux |
| title_full | Transverse momentum broadening and the jet quenching parameter, redux |
| title_fullStr | Transverse momentum broadening and the jet quenching parameter, redux |
| title_full_unstemmed | Transverse momentum broadening and the jet quenching parameter, redux |
| title_short | Transverse momentum broadening and the jet quenching parameter, redux |
| title_sort | transverse momentum broadening and the jet quenching parameter redux |
| url | http://hdl.handle.net/1721.1/68662 https://orcid.org/0000-0002-4911-3183 https://orcid.org/0000-0001-5812-8718 |
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