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Published February 15, 2012 | Submitted + Published
Journal Article Open

Jet physics from static charges in AdS space

Abstract

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.

Additional Information

© 2012 American Physical Society. Received 30 November 2011; published 7 February 2012 This work was supported in part by the Offices of High Energy and Nuclear Physics of the U.S. Department of Energy under the Contract Nos. DE-SC003916 and DE-FG02-94ER40818, and by the Alexander von Humboldt foundation. The authors thank J. Maldacena and D. Hofman for many helpful discussions about the AdS picture, and T. Becher and A. Manohar for helpful comments. M. D. S. would like to thank the KITP for hospitality, and its participants, including E. Gardi and M. Neubert, for helpful discussions. D. S. D. would also like to thank C. Córdova, F. Denef, R. Loganayagam, and D. Poland for discussions.

Attached Files

Published - PhysRevD.85.045010.pdf

Submitted - 1109.6010.pdf

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August 19, 2023
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