Spectrum of the Hermitian Wilson Dirac operator

Narayanan, Rajamani

doi:10.1016/s0920-5632(99)85009-9

Cited by 5 publications

(3 citation statements)

References 15 publications

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“…It has been argued [10] that the enhancement of chiral symmetry breaking is caused by configurations which also represent changing topology (i.e. small instantons and/or dislocations).…”

Section: Measurements -Resultsmentioning

confidence: 99%

Chiral properties of domain wall fermions with improved gauge actions

Orginos

2002

Nuclear Physics B - Proceedings Supplements

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We study the chiral properties of quenched domain wall fermions with several gauge actions. We demonstrate that the nearly translationally invariant modes in the fifth dimension that dominate the residual mass for Wilson gauge action can be substantially suppressed using improved gauge actions. In particular, we study the Symanzik action, the Iwasaki action, the DBW2 action and compare them to the Wilson action.

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“…It has been argued [10] that the enhancement of chiral symmetry breaking is caused by configurations which also represent changing topology (i.e. small instantons and/or dislocations).…”

Section: Measurements -Resultsmentioning

confidence: 99%

Chiral properties of domain wall fermions with improved gauge actions

Orginos

2002

Nuclear Physics B - Proceedings Supplements

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“…It is important to recognize that the above mechanism for explicit chiral symmetry breaking is related to topology-changing configurations (see [36] and references therein for a more complete discussion). The connection is made through the index theorem: the domain wall fermion operator in the limit L s → ∞ has an index [4,37] equal to the number of rightminus the number of left-handed zero modes, which corresponds to the topological charge of the background gauge field configuration-a quantity which becomes precise in the continuum limit.…”

Section: Topology and Chiral Symmetry Breakingmentioning

confidence: 99%

Domain wall fermions with improved gauge actions

et al. 2004

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We study the chiral properties of quenched domain wall fermions with several gauge actions. We demonstrate that the residual chiral symmetry breaking, which is present for a finite number of lattice sites in the fifth dimension (L s ), can be substantially suppressed using improved gauge actions. In particular the Symanzik action, the Iwasaki action, and a renormalization group improved gauge action, called the doubly blocked Wilson ͑DBW2͒ action, are studied and compared to the Wilson action. All improved gauge actions studied show a reduction in the additive residual quark mass m res . Remarkably, in the DBW2 case m res is roughly two orders of magnitude smaller than the Wilson gauge action at a Ϫ1 ϭ2 GeV and L s ϭ16. Significant reduction in m res is also realized at stronger gauge coupling corresponding to a Ϫ1 ϭ1.3 GeV. As our numerical investigation indicates, this reduction is achieved by reducing the number of topological lattice dislocations present in the gauge field configurations. We also present detailed results for the quenched light hadron spectrum and the pion decay constant using the DBW2 gauge action.

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“…In our test we use a 20th order approximation with e.g. xmax=1011 . It is easy to check that this choice corresponds to a relative accuracy of O(10 −5 ).…”

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confidence: 99%