On the geometric lattice approximation to a realistic model of QCD

Becher, P.; Joos, H.

doi:10.1007/bf02813665

Cited by 18 publications

(2 citation statements)

References 13 publications

(10 reference statements)

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“…Several discrete schemes have been proposed that address these difficulties with varying success. Becher and Joos [2,3] used a lattice to define operators with many desirable properties, but that were non-local. To resolve the non-locality, they introduced translation operators.…”

Section: Introductionmentioning

confidence: 99%

The Chiral and Flavor Projection of Dirac–kähler Fermions in the Geometric Discretization

Watterson

2008

Int. J. Geom. Methods Mod. Phys.

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It is shown that an exact chiral symmetry can be described for Dirac-Kähler fermions using the two complexes of the geometric discretization. This principle is extended to describe exact flavour projection and it is shown that this necessitates the introduction of a new operator and two new structures of complex. To describe simultaneous chiral and flavour projection, eight complexes are needed in all and it is shown that projection leaves a single flavour of chiral field on each.

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Section: Introductionmentioning

confidence: 99%

The Chiral and Flavor Projection of Dirac–kähler Fermions in the Geometric Discretization

Watterson

2008

Int. J. Geom. Methods Mod. Phys.

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“…I.e., those corresponding to translations that leave the lattice action invariant. It is the lattice through which free SFs are related to Kähler-Dirac fermions[22][23][24][25][26].…”

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confidence: 99%

Power-counting theorem for staggered fermions

Giedt

2007

Nuclear Physics B

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Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in his proof does not hold for staggered fermions, as was pointed out long ago by Lüscher. Finally, I generalize the power-counting theorem, and the methods of Reisz's proof, such that the difficulties posed by staggered fermions are overcome.

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