منابع مشابه
Ginsparg-Wilson Games
Published algorithms[2] cost (apparently) hundreds of times as much as the usual clover action. I describe an approach which costs about a factor of 6.5×(N+1) as much as the clover action for an Nth order approximation, and even N = 1 looks quite promising. The ideas in this work are based on three remarkable formulas first published by Neuberger[3]: Introducing a zeroth-order Dirac operator D0...
متن کاملThe axial anomaly of Ginsparg-Wilson fermion
The axial anomaly of Ginsparg-Wilson fermion operator D is discussed in general for the operator R which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of D as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator Dc in ...
متن کاملCanonical Approach to Ginsparg-Wilson Fermion
Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson relation, we investigate canonical formulation of massless fermion on the spatial lattice. For free fermion system exact chiral symmetry can be implemented without species doubling. In the presence of gauge couplings the chiral symmetry is violated. We show that the divergence of the axial vector current is related to the chir...
متن کاملGinsparg-Wilson-Lüscher Symmetry and Ultralocality
Important recent discoveries suggest that Ginsparg-Wilson-Lüscher (GWL) symmetry has analogous dynamical consequences for the theory on the lattice as chiral symmetry does in the continuum. While it is well known that inherent property of lattice chiral symmetry is fermion doubling, we show here that inherent property of GWL symmetry is that the symmetry transformation couples fermionic degrees...
متن کاملGinsparg-Wilson Fermions in Odd Dimensions
The Ginsparg-Wilson relation, if written in a suitable form, can be used as a condition for lattice Dirac operators of massless fermions also in odd dimensions. The fermion action with such a Dirac operator is invariant under a generalized parity transformation, which reduces to the ordinary parity transformation in the (naive) continuum limit. The fermion measure, however, transforms non-trivi...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)91754-7