Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials

Dan Dai; Mourad E. H. Ismail; Xiang-Sheng Wang

doi:10.1111/sapm.12234

Author(s)

Dan Dai
Mourad E. H. Ismail
Xiang-Sheng Wang

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	91-105
Journal / Publication	Studies in Applied Mathematics
Volume	142
Issue number	1
Online published	24 Sept 2018
Publication status	Published - Jan 2019

Link(s)

DOI	DOI https://doi.org/10.1111/sapm.12234 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85053719026&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(267543ec-920b-4a86-b5f8-8216b15d99b2).html

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 q-polynomials.

Research Area(s)

asymptotics, matrix models, partition function, Stieltjes-Wigert polynomials, theta function

Bibliographic Note

Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).

Citation Format(s)

[ RIS ] [ BibTeX ]

Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials. / Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng.
In: Studies in Applied Mathematics, Vol. 142, No. 1, 01.2019, p. 91-105.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Dai, D, Ismail, MEH & Wang, X-S 2019, 'Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials', Studies in Applied Mathematics, vol. 142, no. 1, pp. 91-105. https://doi.org/10.1111/sapm.12234

Dai, D., Ismail, M. E. H., & Wang, X.-S. (2019). Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials. Studies in Applied Mathematics, 142(1), 91-105. https://doi.org/10.1111/sapm.12234

Dai D, Ismail MEH, Wang XS. Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials. Studies in Applied Mathematics. 2019 Jan;142(1):91-105. Epub 2018 Sept 24. doi: 10.1111/sapm.12234

Dai, Dan ; Ismail, Mourad E. H. ; Wang, Xiang-Sheng. / Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials. In: Studies in Applied Mathematics. 2019 ; Vol. 142, No. 1. pp. 91-105.