Fermion determinant and chiral anomaly on a finite lattice
نویسنده
چکیده
The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition forD to have correct fermion determinant ( ratio ) which plays the important role of incorporating dynamical fermions in the functional integral. We outline a scheme for dynamical fermion simulation of lattice QCD with topologically proper D. PACS numbers: 11.15.Ha, 11.30.Fs, 11.30.Rd
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Chiral Anomaly and Index Theorem on a finite lattice
The condition for a lattice Dirac operator D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant ( ratio ) which plays the important role of incorporating dynamical fermions in the func...
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