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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/1220

Title: Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
Authors: Basile, F
Akemann, G
Keywords: Random Matrix Theory
QCD epsilon-regime
Publication Date: 2007
Publisher: http://uk.arxiv.org/abs/0710.0376
Citation: JHEP 12: 043, arXiv:0710.0376v1 [hep-th] , Oct 2007
Abstract: We prove that QCD in the epsilon-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential mu. To this aim we prove a theorem that relates integrals over fermionic and bosonic variables to super-Hermitian or super-Unitary groups also called superbosonization. Our findings extend previous results for the equivalence of the partition functions, spectral densities and the quenched two-point densities. We can show that all k-point density correlation functions agree in both theories for an arbitrary number of quark flavors, for either mu=0 or mu=/=0 taking real or imaginary values. This implies the equivalence for all individual k-th eigenvalue distributions which are particularly useful to determine low energy constants from Lattice QCD with chiral fermions.
URI: http://bura.brunel.ac.uk/handle/2438/1220
DOI: http://dx.doi.org/10.1088/1126-6708/2007/12/043
Appears in Collections:Mathematical Physics
Mathematical Science
Dept of Mathematics Research Papers

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