On one-loop correction to energy of spinning strings in S**5

By S. Frolov, I. Park, A. Tseytlin. 2004

133 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/98ebbefe2ebf61c0364a363daddbaa33ef49db34

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. K. Zarembo
5. N. Beisert
6. M. Staudacher
7. M. Zamaklar
8. Vladimir Kazakov

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. N. Beisert
5. M. Staudacher
6. R. Roiban
7. K. Zarembo
8. M. Zamaklar

Citations in the corpus

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• Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, background): “An important tool to investigate the question about quantum integrability is provided by semiclassical quantization of rigid string solutions [18, 19].”
• Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, background): “Moreover, results of [26, 27] indicate that 1/L corrections for spinning strings would disagree already at the oneloop level.”
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, background): “As was found in [26] on the examples of circular solutions in SL(2) [41] and SU(2) [40] sectors(11) the non-analytic λ correction in the string 1-loop energy should universally account for the difference between the string and gauge predictions for the coefficient of the λ(3) term, corresponding to ”
• Semiclassical Strings and AdS/CFT (2004, methodology): “mass expansion is well-defined and the quantum corrections should be proportional to positive powers of ˜ λ. This was explicitly demonstrated by a 1-loop computation in [36, 66 ].”
• Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, methodology): “One may think, of course, that there is no a priori reason to expect the exact agreement, and, as in [8, 17, 26], any disagreement should be attributed to the different order of limits taken on the gauge theory and the string theory sides of the AdS/CFT duality.”
• Quantum corrections to the string Bethe ansatz (2006, methodology): “For the SU(2) case, with k = 2m, we have [24, 25, 18]”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, background): “Review of the Superstring on AdS5 × S5 6 2.1 Superalgebra psu(2, 2|4) 7 2.2 Lagrangian and Coset Element 9”
• Classical/quantum integrability in non-compact sector of AdS/CFT (2004, methodology): “The Bethe ansatz solution of this model and related spin systems was extremely useful in comparing anomalous dimensions of local operators in SYM [16, 17, 18] to the energies of classical string solitons in AdS5 × S5 [19, 20, 21, 22].”