The orthogonal circular ensemble

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Other Topics In Mathematical Methods In Physics

Scientific paper

The orthogonal circular ensemble is solved exactly in the double scaling limit. The partition function describes unoriented strings with bosonic and fermionic propagators. The differential equations describing multicritical behavior are shown to be identical to those of the symplectic circular ensemble. In the case of the m=1 critical point, we find the susceptibility and argue that the orthogonal circular ensemble is unitary.

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