One-loop correction to the energy of spinning strings in S{sup 5}

Journal Article · Sat Jan 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.026006· OSTI ID:20705886

Frolov, S A ^[1]; Park, I Y; Tseytlin, A A ^[2]

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1. Department of Applied Mathematics, SUNY Institute of Technology, P.O. Box 3050, Utica, New York 13504-3050 (United States)
2. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

We revisit the computation of the 1-loop AdS{sub 5}xS{sup 5} superstring sigma model correction to the energy of a closed circular string rotating in S{sup 5}. The string is spinning around its center of mass with two equal angular momenta J{sub 2}=J{sub 3} and its center of mass angular momentum is J{sub 1}. We revise the argument that the 1-loop correction is suppressed by (1/J) factor [J=J{sub 1}+2J{sub 2} is the total SO(6) spin] relative to the classical ({lambda}J{sub 2}/J{sup 2}) term in the energy and use numerical methods to compute the leading 1-loop coefficient. The corresponding gauge-theory result is known only in the J{sub 1}=0 limit when the string solution becomes unstable and thus the 1-loop shift of the energy formally contains an imaginary part. While the comparison with gauge-theory may not be well defined in this case, our numerical string-theory value of the 1-loop coefficient seems to disagree with the gauge-theory one. A plausible explanation should be in the different order of limits taken on the gauge-theory and the string-theory sides of the anti-de Sitter/conformal field theory duality.

• OSTI ID: 20705886
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
COMPARATIVE EVALUATIONS
CONFORMAL INVARIANCE
CORRECTIONS
DE SITTER GROUP
DUALITY
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
SIGMA MODEL
SO GROUPS
SPIN
SUPERSTRING MODELS