Chiral Anomaly and Index Theorem on a finite lattice
نویسنده
چکیده
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 functional integral.
منابع مشابه
Fermion determinant and chiral anomaly on a finite lattice
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 (...
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