Ginsparg-Wilson relation with R = (aγ5D)2k
نویسندگان
چکیده
منابع مشابه
Ginsparg-wilson Relation with R = (aγ 5 D)
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.
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A specific algebraic realization of the Ginsparg-Wilson relation in the form γ5(γ5D) + (γ5D)γ5 = 2a (γ5D) 2k+2 is discussed, where k stands for a nonnegative integer and k = 0 corresponds to the commonly discussed Ginsparg-Wilson relation. From a view point of algebra, a characteristic property of our proposal is that we have a closed algebraic relation for one unknown operator D, although this...
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The Ginsparg-Wilson(G-W) relation is extended for supersymmetric free theories on a lattice. Exact lattice supersymmetry(SUSY) can be defined without any ambiguities in difference operators. The lattice action constructed by a block-spin transformation is invariant under the symmetry. U(1)R symmetry on the lattice is also realized as one of exact symmetries. For an application, the extended G-W...
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The fermionic determinant of a lattice Dirac operator that obeys the Ginsparg-Wilson relation factorizes into two factors that are complex conjugate of each other. Each factor is naturally associated with a single chiral fermion and can be realized as a overlap of two many body vacua.
متن کاملGinsparg - Wilson Relation and Lattice Supersymmetry
The Ginsparg-Wilson(G-W) relation is extended for supersymmetric free theories on a lattice. Exact lattice supersymmetry(SUSY) can be defined without any ambiguities in difference operators. The lattice action constructed by a block-spin transformation is invariant under the symmetry. U(1)R symmetry on the lattice is also realized as one of exact symmetries. For an application, the extended G-W...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2001
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(01)00904-5