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It is shown that it is impossible to construct a free theory of fermions oninfinite hypercubic Euclidean lattice in four dimensions that is: (a)ultralocal, (b) respects symmetries of hypercubic lattice, (c) correspondingkernel satisfies D gamma5 + gamma5 D = D gamma5 D (Ginsparg-Wilson relation),(d) describes single species of massless Dirac fermions in the continuum limit.Comment: 4 pages, REVTEX; few minor change

Ginsparg-Wilson Relation and Ultralocality