The Wilson loop in the Gaussian Unitary Ensemble
Mathematical Physics
2016-05-25 v2 High Energy Physics - Theory
math.MP
Abstract
Using the supersymmetric formalism we compute exactly at finite the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite . We obtain the same result by a second method relying on enumerative combinatorics and show that it leads to a novel proof of the Harer-Zagier series formula.
Keywords
Cite
@article{arxiv.1604.08856,
title = {The Wilson loop in the Gaussian Unitary Ensemble},
author = {Razvan Gurau},
journal= {arXiv preprint arXiv:1604.08856},
year = {2016}
}
Comments
references added, misprints corrected