Jet physics from static charges in AdS space

Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the correspon...

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Main Authors: Stewart, Iain, Chien, Yang-Ting, Simmons-Duffin, David, Schwartz, Matthew D.
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/71905
https://orcid.org/0000-0003-0248-0979
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author Stewart, Iain
Chien, Yang-Ting
Simmons-Duffin, David
Schwartz, Matthew D.
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Stewart, Iain
Chien, Yang-Ting
Simmons-Duffin, David
Schwartz, Matthew D.
author_sort Stewart, Iain
collection MIT
description Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the corresponding Wilson line operator is then determined by the potential energy of the charges. To study these Wilson lines we introduce a “conformal gauge” which does not have kinetic mixing between radial and angular directions, and show that a number of properties of Wilson lines are reproduced through relatively simple calculations. For example, certain nonplanar graphs involving multiple Wilson lines automatically vanish. We also discuss the linear growth of the charges’ imaginary potential energy with separation, and a relationship between Wilson line diagrams and Witten diagrams.
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spelling mit-1721.1/719052022-09-28T17:31:51Z Jet physics from static charges in AdS space Stewart, Iain Chien, Yang-Ting Simmons-Duffin, David Schwartz, Matthew D. Massachusetts Institute of Technology. Center for Theoretical Physics Stewart, Iain W. Stewart, Iain Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the corresponding Wilson line operator is then determined by the potential energy of the charges. To study these Wilson lines we introduce a “conformal gauge” which does not have kinetic mixing between radial and angular directions, and show that a number of properties of Wilson lines are reproduced through relatively simple calculations. For example, certain nonplanar graphs involving multiple Wilson lines automatically vanish. We also discuss the linear growth of the charges’ imaginary potential energy with separation, and a relationship between Wilson line diagrams and Witten diagrams. Alexander von Humboldt-Stiftung United States. Dept. of Energy. Office of High Energy and Nuclear Physics (contract DE-SC003916) United States. Dept. of Energy. Office of High Energy and Nuclear Physics (contract DE-FG02-94ER40818 ) 2012-07-31T12:49:26Z 2012-07-31T12:49:26Z 2012-02 2011-11 Article http://purl.org/eprint/type/JournalArticle 0556-2821 http://hdl.handle.net/1721.1/71905 Stewart, Iain W. et al. "Jet physics from static charges in AdS space." Physical Review D 85 (2012): 045010-1-045010-120. Copyright 2012 American Physical Society. https://orcid.org/0000-0003-0248-0979 en_US http://dx.doi.org/10.1103/PhysRevD.85.045010 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
spellingShingle Stewart, Iain
Chien, Yang-Ting
Simmons-Duffin, David
Schwartz, Matthew D.
Jet physics from static charges in AdS space
title Jet physics from static charges in AdS space
title_full Jet physics from static charges in AdS space
title_fullStr Jet physics from static charges in AdS space
title_full_unstemmed Jet physics from static charges in AdS space
title_short Jet physics from static charges in AdS space
title_sort jet physics from static charges in ads space
url http://hdl.handle.net/1721.1/71905
https://orcid.org/0000-0003-0248-0979
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