The Lambert W Function, Laguerre Polynomials, and the Zeros of the QCD Partition Function
arXiv:1307.1017
Abstract
We study solutions of a transcendental equation for the complex chemical potential at which a random-matrix QCD model can undergo a phase transition at zero mass. An explicit solution is obtained in terms of the Lambert W function. We also provide a closed form expression for a QCD random matrix model partition function, as a sum of Laguerre polynomials, for complex chemical potential and non-zero mass.
7 pages, 1 figure. Resubmitted 28-Oct-2014 to correct typographical errors in equations (9) and (11). Also reformatted as single column, and provided article titles in the references. No other changes to content
References in corpus (4)
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