More about exactly massless quarks on the lattice

Neuberger, Herbert

doi:10.1016/s0370-2693(98)00355-4

Cited by 634 publications

(477 citation statements)

References 8 publications

Supporting

Mentioning

468

Contrasting

Unclassified

Order By: Relevance

“…Since from the computational point of view the structure of loop and leg propagators is very different, different dilution schemes can in principle be chosen for each of them, in order to optimize the total signal. Computations are carried out with overlap fermions [46,47], generated with the Wilson plaquette action at β = 5.8485. The latter corresponds to a lattice spacing given in terms of the Sommer parameter r 0 ≈ 0.5 fm by a/r 0 0.237 [48].…”

Section: Lma + Svsmentioning

confidence: 99%

Variance reduction with practical all-to-all lattice propagators

Endress¹,

Peña²,

Sivalingam³

2015

Computer Physics Communications

View full text Add to dashboard Cite

Abstract:We discuss all-to-all quark propagator techniques in two (related) contexts within Lattice QCD: the computation of closed quark propagators, and applications to the so-called "eye diagrams" appearing in the computation of non-leptonic kaon decay amplitudes. Combinations of low-mode averaging and diluted stochastic volume sources that yield optimal signal-to-noise ratios for the latter problem are developed. We also apply a recently proposed probing algorithm to compute directly the diagonal of the inverse Dirac operator, and compare its performance with that of stochastic methods. At fixed computational cost the two procedures yield comparable signal-to-noise ratios, but probing has practical advantages which make it a promising tool for a wide range of applications in Lattice

show abstract

Section: Lma + Svsmentioning

confidence: 99%

Variance reduction with practical all-to-all lattice propagators

Endress¹,

Peña²,

Sivalingam³

2015

Computer Physics Communications

View full text Add to dashboard Cite

show abstract

“…The overlap fermion formalism [24,25] realizes an exact chiral symmetry on the lattice and is automatically O a improved. The massive overlap operator can be written as [26] …”

Section: Quark Propagator On the Latticementioning

confidence: 99%

Quark propagator in Landau and Laplacian gauges with overlap fermions

et al. 2005

View full text Add to dashboard Cite

The properties of the momentum space quark propagator in Landau gauge and Gribov copy free Laplacian gauge are studied for the overlap quark action in quenched lattice QCD. Numerical calculations are done on two lattices with different lattice spacing $a$ and the same physical volume. We have calculated the nonperturbative wave function renormalization function $Z(q)$ and the nonperturbative mass function $M(p)$ for a variety of bare quark masses and perform a simple linear extrapolation to the chiral limit. We focus on the comparison of the behavior of $Z(q)$ and $M(p)$ in the chiral limit in the two gauge fixing schemes as well as the behavior on two lattices with different lattice spacing $a$. We find that the mass functions $M(p)$ are very similar for the two gauges while the wave-function renormalization function $Z(q)$ is more strongly infrared suppressed in the Laplacian gauge than in the Landau gauge on the finer lattice. For Laplacian gauge, it seems that the finite $a$ error is large on the coarse lattice which has a lattice spacing $a$ of about 0.124 fm.Comment: 8 pages, 6 figures, version appeared in Phys. Rev.

show abstract

“…Massless overlap fermions [1,2] have provided us with a fermionic definition of topological charge [3,4], the numerical study of which has been pioneered by the Kentucky group [5]. This offers the advantage that, by truncating to the overlap modes with j j < cut , the effect of ultraviolet filtering can be studied [5] without changing the gauge field itself.…”

Section: Introductionmentioning

confidence: 99%

Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD

et al. 2008

View full text Add to dashboard Cite

A detailed comparison is made between the topological structure of quenched QCD as revealed by the recently proposed over-improved stout-link smearing in conjunction with an improved gluonic definition of the topological density on one hand and a similar analysis made possible by the overlap-fermionic topological charge density both with and without variable ultraviolet cutoff cut . The matching is twofold, provided by fitting the density-density two-point functions on one hand and by a point-by-point fitting of the topological densities according to the two methods. We point out the similar cluster structure of the topological density for moderate smearing and 200 MeV < cut < 600 MeV, respectively. We demonstrate the relation of the gluonic topological density for extensive smearing to the location of the overlap zero modes and the lowest overlap nonzero mode as found for the unsmeared configurations.

show abstract

More about exactly massless quarks on the lattice

Cited by 634 publications

References 8 publications

Variance reduction with practical all-to-all lattice propagators

Variance reduction with practical all-to-all lattice propagators

Quark propagator in Landau and Laplacian gauges with overlap fermions

Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD

Contact Info

Product

Resources

About