Thursday, July 4, 2013

1307.1017 (Ken Roberts et al.)

The Lambert W Function, Laguerre Polynomials, and the Zeros of the QCD
Partition Function

Ken Roberts, S. R. Valluri
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.
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