Virasoro constraints and flavor-topology duality in QCD
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2001-09-01
Autores
Dalmazi, D.
Verbaarschot, JJM
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American Physical Soc
Resumo
We derive Virasoro constraints for the zero momentum part of the QCD-like partition functions in the sector of topological charge v. The constraints depend on the topological charge only through the combination N-f +betav/2 where the value of the Dyson index beta is determined by the reality type of the fermions. This duality between flavor and topology is inherited by the small-mass expansion of the partition function and all spectral sum rules of inverse powers of the eigenvalues of the Dirac operator. For the special case beta =2 but arbitrary topological charge the Virasoro constraints are solved uniquely by a generalized Kontsevich model with the potential V(X) = 1/X.
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Physical Review D. College Pk: American Physical Soc, v. 64, n. 5, 9 p., 2001.