Pairs of chiral quarks on the lattice from staggered fermions

Adams, David H.

doi:10.1016/j.physletb.2011.04.034

Cited by 36 publications

(66 citation statements)

References 29 publications

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“…One simple way is to use a filter of the form F = (1−α)+α(1⊗ξ 5 ) in the staggered spin-taste language similar to the operator used in staggered-Wilson fermions [7]. This will filter the 4 staggered tastes down to 2.…”

Section: Flavor (Taste) Filtered Staggered Fermionsmentioning

confidence: 99%

Flavor Filtered Fermions

Osborn¹,

Jin²

2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We present a new discretization of the lattice Dirac operator that preserves chiral symmetry while suppressing the effects of doubler states. The new operator is constructed from the naive Dirac operator by filtering out doubler states while preserving one physical quark state. In the simplest version the filtering is only approximate and the filter would require fine tuning to produce a single flavor in the continuum limit. We will present results from quenched simulations for the doubler suppression, locality and topology of the operator. We also discuss prospects for improving the filter to reduce or possibly eliminate the need for fine tuning.

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Section: Flavor (Taste) Filtered Staggered Fermionsmentioning

confidence: 99%

Flavor Filtered Fermions

Osborn¹,

Jin²

2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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“…Hence, it is important to understand the underlying symmetries in lattice field theory, not only for QCD simulations with these fermion formulations, but also for constructions of other lattice fermion formulations such as overlap [13,14], domain-wall [15][16][17], staggered Wilson [18][19][20][21], staggered overlap [19,20,22,23] and minimally doubled fermions [24][25][26][27][28][29][30][31][32]. Moreover fermion doublers could be used to economically simulate QCD-like theories with many flavors, 1 which might be relevant for the construction of techni-color theories.…”

Section: Introductionmentioning

confidence: 99%

Revisiting symmetries of lattice fermions via spin-flavor representation

Kimura

Komatsu

Misumi

et al. 2012

J. High Energ. Phys.

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Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the U(4)×U(4) symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spin-flavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. We also explore two types of minimally doubled fermion, and discover a similar kind of symmetry enhancement and its spontaneous breakdown.

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“…Motivated by recent developments on the index theorem on lattice QCD 4 [37][38][39][40], we compute in this paper the Ind (D 4 ), and in general the Ind (D 2N ), of fermions in background fields living on a class of even-dimensional lattices L 2N describing the 2N-dimensional generalization of the honeycomb L 2 . The calculation of Ind (D 2N ) will be done as follows:…”

Section: Introductionmentioning

confidence: 99%

“…Recall that there are two basic ways to compute Ind (D 4 ); (i) the direct method which we will be considering here; and (ii) the so called spectral flow approach of Adams [37][38][39][40] based on the introduction of a hermitian version H sp of the Dirac operator. In QCD 4 on hyperdiamond, this spectral hamiltonian has the form H sp = γ 5 (D − m) showing that any zero mode of D with ± chirality corresponds to some eigen-modes of H sp with eigenvalues λ (m) = ∓m; for details see [28,[37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

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Topological aspects of fermions on hyperdiamond

Saidi¹,

Fassi-Fehri²,

Bousmina³

2012

Journal of Mathematical Physics

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Motivated by recent results on the index of the Dirac operator D = γ µ D µ of QCD on lattice and also by results on topological features of electrons and holes of 2-dimensional graphene, we compute in this paper the Index of D for fermions living on a family of even dimensional lattices denoted as L 2N and describing the 2N-dimensional generalization of the graphene honeycomb. The calculation of this topological Index is done by using the direct method based on solving explicitly the gauged Dirac equation and also by using specific properties of the lattices L 2N which are shown to be intimately linked with the weight lattices of SU (2N + 1). The Index associated with the two leading N = 1 and N = 2 elements of this family describe precisely the chiral anomalies of graphene and QCD 4 . Comments on the method using the spectral flow approach as well as the computation of the topological charges on 2-cycles of 2N-dimensional compact supercell in L 2N and applications to QCD 4 are also given.

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Pairs of chiral quarks on the lattice from staggered fermions

Cited by 36 publications

References 29 publications

Flavor Filtered Fermions

Flavor Filtered Fermions

Revisiting symmetries of lattice fermions via spin-flavor representation

Topological aspects of fermions on hyperdiamond

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