Matrix model and Ginsparg-Wilson relation
نویسندگان
چکیده
منابع مشابه
Ginsparg - Wilson Relation and Lattice Supersymmetry Hiroto
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...
متن کاملAlgebraic Generalization of the Ginsparg-Wilson Relation
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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We show that the Ginsparg-Wilson (GW) relation can play an important role to define chiral structures in finite noncommutative geometries. Employing GW relation, we can prove the index theorem and construct topological invariants even if the system has only finite degrees of freedom. As an example, we consider a gauge theory on a fuzzy two-sphere and give an explicit construction of a noncommut...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2004
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(03)02622-7