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Title: | Spectra of massive and massless QCD Dirac operators: A novel link |
Authors: | Akemann, G Kanzieper, E |
Keywords: | High Energy Physics - Theory;Chaotic Dynamics |
Issue Date: | 2000 |
Publisher: | The American Physical Society |
Citation: | Phys.Rev.Lett. 85 (2000): 1174-1177 |
Abstract: | We show that integrable structure of chiral random matrix models incorporating global symmetries of QCD Dirac operators (labeled by the Dyson index beta=1,2, and 4) leads to emergence of a connection relation between the spectral statistics of massive and massless Dirac operators. This novel link established for beta-fold degenerate massive fermions is used to explicitly derive (and prove the random matrix universality of) statistics of low--lying eigenvalues of QCD Dirac operators in the presence of SU(2) massive fermions in the fundamental representation (beta=1) and SU(N_c >= 2) massive adjoint fermions (beta=4). Comparison with available lattice data for SU(2) dynamical staggered fermions reveals a good agreement. |
URI: | http://bura.brunel.ac.uk/handle/2438/473 |
DOI: | http://dx.doi.org/10.1103/PhysRevLett.85.1174 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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Spectra of massive and massless.pdf | 142.43 kB | Adobe PDF | View/Open |
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