Asymptotics of partition functions in a fermionic matrix model and of related $q$-polynomials
Mathematical Physics
2018-08-06 v1 math.MP
Abstract
In this paper, we study asymptotics of the thermal partition function of a model of quantum mechanical fermions with matrix-like index structure and quartic interactions. This partition function is given explicitly by a Wronskian of the Stieltjes-Wigert polynomials. Our asymptotic results involve the theta function and its derivatives. We also develop a new asymptotic method for general -polynomials.
Keywords
Cite
@article{arxiv.1808.01193,
title = {Asymptotics of partition functions in a fermionic matrix model and of related $q$-polynomials},
author = {Dan Dai and Mourad E. H. Ismail and Xiang-Sheng Wang},
journal= {arXiv preprint arXiv:1808.01193},
year = {2018}
}
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16 pages