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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 |
Issue 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 Dept of Mathematics Research Papers Mathematical Sciences |
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ABaIIarXiv.pdf | 337.36 kB | Adobe PDF | View/Open |
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