Semiclassical quantization of rotating superstring in AdS(5) x S**5
By S. Frolov, A. Tseytlin. 2002
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Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in AdS5 × S5. We start with a classical solution describing string rotating in AdS5 and boosted along large circle of S5. The energy of the classical solution E is a function of the spin S and the momentum J (R-charge) which interpolates between the limiting cases S = 0 and J = 0 considered previously. We derive the corresponding quadratic fluctuation action for bosonic and fermionic fields from the GS string action and compute the string 1-loop (large √λ = R2/α') correction to the classical energy spectrum in the (S,J) sector. We find that the 1-loop correction to the ground-state energy does not cancel for S ≠ 0. For large S it scales as ln S, i.e. as the classical term, with no higher powers of ln S appearing. This supports the conjecture made in hep-th/0204051 that the classical E−S = aln S scaling can be interpolated to weak coupling to reproduce the corresponding operator anomalous dimension behaviour in gauge theory.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/741df8753aef770ab87f6801ca6cb6cad6f97dfd
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Citations in the corpus
- Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, background): “fermionic modes (see [ 3 , 4, 24] for details).16 Since in (3.5) one has t = κτ, the 1-loop”
- Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “It should be also straightforward to compute the spectrum of fluctuations around simple spinning circular strings, and analyze 1/J corrections to their energies generalizing the consideration of [33].”
- Finite-size effects from giant magnons (2006, neutral): “direction in the same way as the usual 2-spin folded string solutions were found [ 16 ].”
- S-matrix for strings on η-deformed AdS5 × S5 (2013, background): “Due to the singularity of the η-deformed AdS a particularly interesting solution to analyse would be the GKP string and its generalisation [29, 30].”
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “One can use the expression for the string energy in conformal gauge in terms of the fluctuation fields derived in appendix A of [22] (in that paper this was in the context of the folded spinning string):”
- Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, methodology): “The same parametrization of the AdS5 × S5 space was also discussed in the context of AdS5 × S5 string quantization in the first paper of [4] and in [25].”
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, methodology): “In the “short string” limit [2, 10] with J ≫ S one gets the BMN-type scaling E0 = J + S √”
- MHV amplitudes in N=4 super Yang-Mills and Wilson loops (2007, positive): “8) and predicts γK = √ λ/4π at large λ = g(2)N , in agreement with string calculations [25, 26].”
- Classical/quantum integrability in non-compact sector of AdS/CFT (2004, background): “power series in λ = g2N at weak coupling and power series in 1/ √ λ at strong coupling [ 47 ].”
- A Crossing-Symmetric Phase for AdS5 x S5 Strings (2006, positive): “They also serve as the quantum constituents for the Frolov-Tseytlin spinning string solutions [24], see [40].”