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# The Microscopic Spectral Density of the Dirac Operator derived from Gaussian Orthogonal and Symplectic Ensembles

@inproceedings{HilmoineTheMS, title={The Microscopic Spectral Density of the Dirac Operator derived from Gaussian Orthogonal and Symplectic Ensembles}, author={Christian Hilmoine and Rune Niclasen} }

The microscopic spectral correlations of the Dirac operator in Yang-Mills theories coupled to fermions in (2+1) dimensions can be related to three universality classes of Random Matrix Theory. In the microscopic limit the Orthogonal Ensemble (OE) corresponds to a theory with 2 colors and fermions in the fundamental representation and the Symplectic Ensemble (SE) corresponds to an arbitrary number of colors and fermions in the adjoint representation. Using a new method of Widom, we derive an… CONTINUE READING