Chiral Anomaly and Index Theorem on a finite lattice
نویسندگان
چکیده
منابع مشابه
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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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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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)00358-3