Bremsstrahlung function, leading Luscher correction at weak coupling and localization
Abstract
We discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an alternative method based on supersymmetric localization. The basic idea is to relate the computation to the vacuum expectation value of certain 1/8 BPS Wilson loops with local operator insertions along the contour. These observables localize on a two-dimensional gauge theory on S^2, opening the possibility of exact calculations. As a test of our proposal, we reproduce the leading Luscher correction at weak coupling to the generalized cusp anomalous dimension. This result is also checked against a genuine Feynman diagram approach in N=4 Super Yang-Mills theory.
Cite
@article{arxiv.1511.05016,
title = {Bremsstrahlung function, leading Luscher correction at weak coupling and localization},
author = {Marisa Bonini and Luca Griguolo and Michelangelo Preti and Domenico Seminara},
journal= {arXiv preprint arXiv:1511.05016},
year = {2016}
}
Comments
25 pages, 6 figures. References added and typos corrected