Please use this identifier to cite or link to this item:
|Title:||Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential|
|Keywords:||Random Matrix Theory;QCD epsilon-regime|
|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.|
|Appears in Collections:||Mathematical Physics|
Dept of Mathematics Research Papers
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.