On a new type of divergence for spiky Wilson loops and related entanglement entropies
- 47 Downloads
We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a leading divergent term proportional to the inverse of the square root of the cutoff times the jump of the curvature. As nextleading term appears a logarithmic one in the supersymmetric case, but it is absent in QCD. The strong coupling result, obtained from minimal surfaces in AdS via holography, can be used also for applications to entanglement entropy in (2+1)-dimensional CFT’s.
KeywordsWilson, ’t Hooft and Polyakov loops AdS-CFT Correspondence Renormalization Regularization and Renormalons
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- I. Ya. Arefeva, Quantum Contour Field Equations, Phys. Lett. B 93 (1980) 347 [INSPIRE].