The L^-2 term of the large-size expansion of triangular Wilson loops is derived in effective string theory, yielding f_2(C) = (D-2)/(192 σ S) ∏(π/θ_k - 1) [1 - (D-2)/24 ∏(π/θ_k - 1)].
QCD String as an Effective String
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abstract
There are two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how the former can be solved in the mean-field approximation, justified by the large number of space-time dimensions, and argue that it turns out to be exact for the Nambu--Goto string. By adding extrinsic curvature I demonstrate how the tachyonic instability of the ground-state energy can be cured by operators less relevant in the infrared.
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Large-size expansion for triangular Wilson loops in confining gauge theories
The L^-2 term of the large-size expansion of triangular Wilson loops is derived in effective string theory, yielding f_2(C) = (D-2)/(192 σ S) ∏(π/θ_k - 1) [1 - (D-2)/24 ∏(π/θ_k - 1)].