Exact solution for mean energy of 2d Dyson gas at beta = 1
Mathematical Physics
2011-03-04 v2 High Energy Physics - Theory
math.MP
Abstract
Mean Coulomb energy of 2d Dyson gas in quadratic potential is examined from combinatorial viewpoint. For beta = 1, we find a recursive relation on mean energy and obtain its exact (finite N) solution in closed form in terms of the hypergeometric function 3F2. Using this exact solution, we derive the large-N asymptotic expansion of mean energy and show, that this expansion contains half-integer powers of N.
Keywords
Cite
@article{arxiv.0912.5520,
title = {Exact solution for mean energy of 2d Dyson gas at beta = 1},
author = {Sh. Shakirov},
journal= {arXiv preprint arXiv:0912.5520},
year = {2011}
}
Comments
10 pages, 1 figure