Spiky strings, lightlike Wilson loops, and ppwave anomaly
Abstract
We consider rigid rotating closed strings with spikes in AdS{sub 5} dual to certain higher twist operators in N=4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS{sub 5}, the solutions with different numbers of spikes are related by conformal transformations, implying that their energy is determined by the same function of the 't Hooft coupling f({lambda}) that appears in the anomalous dimension of twist 2 operators or in the cusp anomaly. In the limit when the number of spikes goes to infinity, we find an equivalent description in terms of a string moving in an AdS ppwave background. From the boundary theory point of view, the corresponding description is based on the gauge theory living in a 4d ppwave space. Then, considering a charge moving at the speed of light, or a null Wilson line, we find that the integrated energymomentum tensor has a logarithmic UV divergence that we call the 'ppwave anomaly'. The AdS/CFT correspondence implies that, for N=4 SYM, this ppwave anomaly should have the same value as the cusp anomaly. We verify this at lowest order in SYM perturbation theory. As a side result of our string theory analysis,more »
 Authors:

 Department of Physics, Purdue University, West Lafayette, Indiana 479072036 (United States)
 Publication Date:
 OSTI Identifier:
 21205234
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 77; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.77.126005; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANOMALOUS DIMENSION; COUPLING; CUSPED GEOMETRIES; DE SITTER GROUP; ENERGYMOMENTUM TENSOR; GAUGE INVARIANCE; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; PERTURBATION THEORY; SPIN; STRING MODELS; SYMMETRY; TRANSFORMATIONS; VELOCITY; WILSON LOOP; YANGMILLS THEORY
Citation Formats
Kruczenski, M, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings, lightlike Wilson loops, and ppwave anomaly. United States: N. p., 2008.
Web. doi:10.1103/PHYSREVD.77.126005.
Kruczenski, M, Tseytlin, A A, & Blackett Laboratory, Imperial College, London SW7 2AZ. Spiky strings, lightlike Wilson loops, and ppwave anomaly. United States. doi:10.1103/PHYSREVD.77.126005.
Kruczenski, M, Tseytlin, A A, and Blackett Laboratory, Imperial College, London SW7 2AZ. Sun .
"Spiky strings, lightlike Wilson loops, and ppwave anomaly". United States. doi:10.1103/PHYSREVD.77.126005.
@article{osti_21205234,
title = {Spiky strings, lightlike Wilson loops, and ppwave anomaly},
author = {Kruczenski, M and Tseytlin, A A and Blackett Laboratory, Imperial College, London SW7 2AZ},
abstractNote = {We consider rigid rotating closed strings with spikes in AdS{sub 5} dual to certain higher twist operators in N=4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS{sub 5}, the solutions with different numbers of spikes are related by conformal transformations, implying that their energy is determined by the same function of the 't Hooft coupling f({lambda}) that appears in the anomalous dimension of twist 2 operators or in the cusp anomaly. In the limit when the number of spikes goes to infinity, we find an equivalent description in terms of a string moving in an AdS ppwave background. From the boundary theory point of view, the corresponding description is based on the gauge theory living in a 4d ppwave space. Then, considering a charge moving at the speed of light, or a null Wilson line, we find that the integrated energymomentum tensor has a logarithmic UV divergence that we call the 'ppwave anomaly'. The AdS/CFT correspondence implies that, for N=4 SYM, this ppwave anomaly should have the same value as the cusp anomaly. We verify this at lowest order in SYM perturbation theory. As a side result of our string theory analysis, we find new open string solutions in the Poincare patch of the standard AdS space which end on a lightlike Wilson line and also in two parallel lightlike Wilson lines at the boundary.},
doi = {10.1103/PHYSREVD.77.126005},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 12,
volume = 77,
place = {United States},
year = {2008},
month = {6}
}