Ginsparg-Wilson relation with R = (aγ5D)2k
Journal
Nuclear Physics B - Proceedings Supplements
Journal Volume
94
Journal Issue
1-3
Pages
733-736
Date Issued
2001
Author(s)
Abstract
The Ginsparg-Wilson relation Dγ5 + γ5D = 2aDRγ5D with R = (aγ5D)2k is discussed. An explicit realization of D is constructed. It is shown that this sequence of topologically-proper lattice Dirac operators tend to a nonlocal operator in the limit k → ∞. This suggests that the locality of a lattice Dirac operator is irrelevant to its index. © 2001 Elsevier Science B.V. All rights reserved.
Type
journal article