The U(1) Problem in Chiral Random Matrix Models

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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ReVTaeX, 9 pages with 2 EPS figures. Uses the feynmf package version 1.0 for Feynman graphs

Scientific paper

10.1016/S0550-3213(97)00265-4

We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the $U(1)$ problem in the unquenched approximation. Our exact results to order $1/N$ are in agreement with numerical estimates using large ensembles of asymmetric ChRMM with gaussian distributions.

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