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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/584

Title: Matrix models and QCD with chemical potential
Authors: Akemann, G
Publication Date: 2007
Publisher: World Scientific Publishing Company
Citation: Electronic version of an article published as International Journal of Modern Physics A (IJMPA) A22 (2007) 1077-1122
Abstract: The Random Matrix Model approach to Quantum Chromodynamics (QCD) with non-vanishing chemical potential is reviewed. The general concept using global symmetries is introduced, as well as its relation to field theory, the so-called epsilon regime of chiral Perturbation Theory (echPT). Two types of Matrix Model results are distinguished: phenomenological applications leading to phase diagrams, and an exact limit of the QCD Dirac operator spectrum matching with echPT. All known analytic results for the spectrum of complex and symplectic Matrix Models with chemical potential are summarised for the symmetry classes of ordinary and adjoint QCD, respectively. These include correlation functions of Dirac operator eigenvalues in the complex plane for real chemical potential, and in the real plane for imaginary isospin chemical potential. Comparisons of these predictions to recent Lattice simulations are also discussed.
URI: http://bura.brunel.ac.uk/handle/2438/584
http://uk.arxiv.org/abs/hep-th/0701175
DOI: http://dx.doi.org/10.1142/S0217751X07036154
Appears in Collections:School of Information Systems, Computing and Mathematics Research Papers
Mathematical Physics
Mathematical Science

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