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arXiv · 1707.07055

Distribution of the Dirac modes in QCD

M. Catillo·L. Ya. Glozman
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Abstract

It was established that distribution of the near-zero modes of the Dirac operator is consistent with the Chiral Random Matrix Theory (CRMT) and can be considered as a consequence of spontaneous breaking of chiral symmetry (SBCS) in QCD. The higher-lying modes of the Dirac operator carry information about confinement physics and are not affected by SBCS. We study distributions of the near-zero and higher-lying modes of the overlap Dirac operator within $N_F = 2$ dynamical simulations. We find that distributions of both near-zero and higher-lying modes are the same and follow the Gaussian Unitary Ensemble of Random Matrix Theory. This means that randomness, while consistent with SBCS, is not a consequence of SBCS and is related to some more general property of QCD in confinement regime.

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M. Catillo, L. Ya. Glozman. 2017-07-21. Distribution of the Dirac modes in QCD. https://doi.org/10.1051/epjconf/201817504005

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