Ginsparg-Wilson fermions: A study in the Schwinger model
نویسندگان
چکیده
منابع مشابه
v 1 2 O ct 1 99 8 Ginsparg - Wilson Fermions : A study in the Schwinger Model 1
Qualitative features of Ginsparg-Wilson fermions, as formulated by Neuberger, coupled to two dimensional U(1) gauge theory are studied. The role of the Wilson mass parameter in changing the number of massless flavors in the theory and its connection with the index of the Dirac operator is studied. Although the index of the Dirac operator is not related to the geometric definition of the topolog...
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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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We construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The GinspargWilson equation turns into a system of coupled equations for the expansion coefficients ofD. We solve these equations for a finite parametrization of D and find an approximate solution of the Ginsparg-Wilson equation. We analyze the spectral properties of our D for...
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Lattice fermions obeying the Ginsparg-Wilson relation do correctly represent the physical properties related to chirality. This can be achieved by local fermions, which involve an infinite number of couplings, however. For practical purposes, it is useful to first construct approximate Ginsparg-Wilson fermions within a short range. We report on a successful construction in QCD at β = 6. The goo...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1999
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.59.094502