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

Basile F, Akemann G (2007)
JHEP 2007(12).

Journal Article | Published | English

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We prove that QCD in the epsilon-regime of chiral Perturbation Theory isequivalent to chiral Random Matrix Theory for zero and both non-zero real andimaginary chemical potential mu. To this aim we prove a theorem that relatesintegrals over fermionic and bosonic variables to super-Hermitian orsuper-Unitary groups also called superbosonization. Our findings extendprevious results for the equivalence of the partition functions, spectraldensities and the quenched two-point densities. We can show that all k-pointdensity correlation functions agree in both theories for an arbitrary number ofquark flavors, for either mu=0 or mu=/=0 taking real or imaginary values. Thisimplies the equivalence for all individual k-th eigenvalue distributions whichare particularly useful to determine low energy constants from Lattice QCD withchiral fermions.
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Basile F, Akemann G. Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP. 2007;2007(12).
Basile, F., & Akemann, G. (2007). Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP, 2007(12).
Basile, F., and Akemann, G. (2007). Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP 2007.
Basile, F., & Akemann, G., 2007. Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP, 2007(12).
F. Basile and G. Akemann, “Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential”, JHEP, vol. 2007, 2007.
Basile, F., Akemann, G.: Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP. 2007, (2007).
Basile, Francesco, and Akemann, Gernot. “Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential”. JHEP 2007.12 (2007).
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