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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/1266

Title: Chiral random two-matrix theory and QCD with imaginary chemical potential
Authors: Akemann, G
Keywords: Random matrix theory
Publication Date: 2007
Publisher: Acta Physica Polonica B
Citation: Acta Physica Polonica B38: 3981-3991, Oct 2007
Abstract: We summarise recent results for the chiral Random Two-Matrix Theory constructed to describe QCD in the epsilon-regime with imaginary chemical potential. The virtue of this theory is that unquenched Lattice simulations can be used to determine both low energy constants Sigma and F in the leading order chiral Lagrangian, due to their respective coupling to quark mass and chemical potential. We briefly recall the analytic formulas for all density and individual eigenvalue correlations and then illustrate them in detail in the simplest, quenched case with imaginary isospin chemical potential. Some peculiarities are pointed out for this example: i) the factorisation of density and individual eigenvalue correlation functions for large chemical potential and ii) the factorisation of the non-Gaussian weight function of bi-orthogonal polynomials into Gaussian weights with ordinary orthogonal polynomials.
URI: http://bura.brunel.ac.uk/handle/2438/1266
http://uk.arxiv.org/abs/0710.2905
Appears in Collections:Mathematical Physics
Mathematical Science
Dept of Mathematics Research Papers

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