Topological obstruction in block-spin transformations

Takanori Fujiwara, Takuya Hayashi, Hiroshi Suzuki, Ke Wu

Research output: Contribution to journalArticlepeer-review

Abstract

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 operator on the fine lattice and those on the coarse lattice. 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. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)428-434
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume488
Issue number3-4
DOIs
Publication statusPublished - Sep 7 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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