Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential

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dc.creatorBasile, Francesco
dc.creatorAkemann, Gernot
dc.date2007-10-01
dc.date2007-12-13
dc.date.accessioned2026-07-07T11:19:42Z
dc.date.available2026-07-07T11:19:42Z
dc.descriptionWe 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.
dc.descriptionv2: typos corrected and comments on echPT at real mu added v3: typos corrected and references added
dc.identifierhttps://arxiv.org/abs/0710.0376
dc.identifierhttp://arxiv.org/abs/0710.0376
dc.identifierJHEP0712:043,2007
dc.identifierdoi:10.1088/1126-6708/2007/12/043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193771
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleEquivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
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