F. Basile and G. Akemann JHEP12(2007)043 doi:10.1088/1126-6708/2007/12/043
Equivalence of QCD in the 
-regime and chiral random matrix theory with or without chemical potential
OPEN ACCESS
F. Basile1,2 and G. Akemann1,3
Show affiliations-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential μ. To this aim we prove a theorem that relates integrals over fermionic and bosonic variables to super-Hermitian or super-Unitary groups also called superbosonisation. 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 flavours, for either μ = 0 or μ ≠ 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.
- Keywords
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E-print Number: 0710.0376
Cited: by |
Refers: to
- PACS
-
12.39.-x Phenomenological quark models
12.38.Bx Perturbative calculations
- Subjects
- Dates
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Issue 12 (December 2007)
Received 13 October 2007, accepted for publication 28 November 2007
Published 12 December 2007
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Equivalence of QCD in the -regime and chiral random matrix theory with or without chemical potential
F. Basile and G. Akemann JHEP12(2007)043
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