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Solutions of the Ginsparg-Wilson Relation

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arxiv hep-lat/9806019 v2 pith:PILCRSRD submitted 1998-06-19 hep-lat cond-mat.str-elhep-phhep-th

Solutions of the Ginsparg-Wilson Relation

classification hep-lat cond-mat.str-elhep-phhep-th
keywords ginsparg-wilsonoperatorsrelationsolutionsanalyzebackgroundconditiondirac
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have non-zero index in the topologically nontrivial background gauge fields.

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