Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
By S. Frolov, A. Tirziu, A. Tseytlin. 2006
152 citations recorded by the source corpus.
Abstract We compute 1-loop correction E 1 to the energy of folded string in A d S 5 × S 5 (carrying spin S in A d S 5 and momentum J in S 5 ) using a “long string” approximation in which S ≫ J ≫ 1 . According to the AdS/CFT the function E 1 should represent first subleading correction to strong coupling expansion of anomalous dimension of higher twist SL ( 2 ) sector operators of the form Tr D S Z J . We show that E 1 smoothly interpolates between the ln S regime (previously found in the J → 0 case) and the λ / J 2 ln 3 ( S / J ) regime (which is the leading correction to the thermodynamic limit on the spin chain side). This supports the universality of the ln S scaling. As in the previous work, we also find “non-analytic” corrections related to non-trivial 1-loop phase in the corresponding Bethe ansatz S-matrix.
Subfields: Condensed Matter Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e5cddae7615a00ac81903863702f7701ff7887c9
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Citations in the corpus
- Spinning strings at one-loop in AdS(4) x P**3 (2008, methodology): “The sum of frequencies of bosonic and fermionic fluctions can be put in a form which can be integrated without difficulty using the following identities [34]:”
- Supersymmetric Wilson loops on S**3. (2007, background): “One example is the relation between the cusp anomaly of a light-like Wilson line and the anomalous dimension of large spin twist-2 operators [37–46].”
- Notes on superconformal Chern-Simons-Matter theories (2007, background): “(For a sample of recent advances see [5,6,7,8,9,10,11,12,13].”
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “It was argued in [35, 36, 37] and in greater detail in [38] that for a homogeneous string solution like the one we consider here E1 may be defined as the one-loop effective action divided by the two-dimensional time interval.”
- Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, background): “Following [23], in this limit, the sum can be replaced by an integral”
- Strong-coupling expansion of cusp anomaly from quantum superstring (2007, methodology): “Taking into account that the conformal-gauge ghost contribution cancels the contribution of the two bosonic massless modes, the 1-loop effective action is found to be given by the same expression as in [3, 30, 25]”