Strong-coupling expansion of cusp anomaly from quantum superstring
By R. Roiban, A. Tseytlin. 2007
151 citations recorded by the source corpus.
We consider the world surface in AdS5 that ends on two intersecting null lines at the boundary. The corresponding superstring partition function describes the expectation value of the Wilson line with a null cusp in dual large N maximally supersymmetric gauge theory and thus determines the cusp anomaly function f(l) of the gauge coupling l or the string tension √λ/2π. The first two coefficients in its strong-coupling or string inverse tension expansion were determined in hep-th/0210115 (a0 = 1) and in arXiv:0707.4254 (a1 = − 3 ln 2). Here we find that the 2-loop coefficient is a2 = −K where K is the Catalan's constant. This is in agreement (expected on the general grounds) with the previous results for f(l) as the coefficient of ln S term in the energy of the closed spinning string in AdS5. The string theory value for a2 is in agreement with the numerical result in hep-th/0611135 and the recent analytic result in arXiv:0708.3933 for the coefficients in strong-coupling Ssolution of the BES equation. We explicitly verify the cancellation of all 2-loop logarithmic divergences thus demonstrating the quantum consistency of the AdS5×S5 superstring action at this order. We also discuss the structure of the three and higher string loop corrections to the cusp anomaly function giving a 2d QFT diagrammatic interpretation to the result of arXiv:0708.3933 for the solution of the BES equation following from the Bethe ansatz prescription for the spectrum of the theory.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d6f17e756f1e47dd57d7e16f1c76494342a3a022
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In Nuclear and High Energy Physics
Citations in the corpus
- Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, methodology): “Using the AdS/CFT correspondence the first few coefficients in the strong coupling expansion were evaluated in [57, 58, 59].”
- Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, methodology): “This conjecture has been checked by four-loop calculations in the weak-coupling limit [76] and to second order in the strong-coupling expansion using AdS/CFT and a two-loop superstring calculation [77].”
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, background): “We know that the former can be determined to all loops from a Bethe Ansatz [37, 38, 39] and its strong coupling limit matches the string theory prediction [40, 41, 8, 42 ].”
- 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.”