Topological Obstruction in Block-spin Transformations
نویسندگان
چکیده
Block-spin transformations from a fine lattice to a coarse one are shown to give rise to a one-to-one correspondence between the zero-modes of the Ginsparg-Wilson Dirac operators. The index is then preserved under the blocking process. Such a one-to-one correspondence is violated and the block-spin transformation becomes necessarily ill-defined when the absolute value of the index is larger than 2rN , where N is the number of the sites on the coarse lattice and r is the dimension of the gauge group representation of the fermion variables. PACS: 02.40.-k, 11.15.Ha, 11.30.Rd
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تاریخ انتشار 2000