Virasoro constraints and flavor-topology duality in QCD
Journal Article
·
· Physical Review D
We derive Virasoro constraints for the zero momentum part of the QCD-like partition functions in the sector of topological charge {nu}. The constraints depend on the topological charge only through the combination N{sub f}+{beta}{nu}/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.
- Sponsoring Organization:
- (US)
- DOE Contract Number:
- FG-88ER40388
- OSTI ID:
- 40277255
- Journal Information:
- Physical Review D, Vol. 64, Issue 5; Other Information: DOI: 10.1103/PhysRevD.64.054002; Othernumber: PRVDAQ000064000005054002000001; 047115PRD; PBD: 1 Sep 2001; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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