Flavor singlet pseudoscalar masses in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>QCD

Struckmann, Thorsten; Schilling, Klaus; Bali, Gunnar S.; Eicker, N.; Güsken, S.; Lippert, Th.; Neff, H.; Orth, Boris; Schroers, W.; Viehoff, J.; Ueberholz, P.

doi:10.1103/physrevd.63.074503

Cited by 32 publications

(39 citation statements)

References 21 publications

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“…For a comparison with the same quantity in the case of QCD see e.g. [24,25]; we remark here that the case of SYM is quite different since the connected correlator is not related to a physical particle, but rather to the pseudoparticle a − π discussed above.…”

Section: − Bound Statesmentioning

confidence: 99%

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Farchioni

Peetz

2005

Eur. Phys. J. C

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We analyze the low energy spectrum of bound states of the N=1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with dynamical gluinos. The dynamics of the gluinos is included by the Two-Step Multi-Bosonic Algorithm (TSMB) for dynamical fermions. A new set of configurations has been generated on a 16 3 · 32 lattice at β = 2.3 and κ = 0.194. The analysis also includes sets of configurations previously generated on a smaller (12 3 · 24) lattice at κ = 0. 1925, 0.194 and 0.1955. Guided by predictions from low energy Lagrangians, we consider spin-1/2, scalar and pseudoscalar particles. The spectrum of SYM is a challenging subject of investigation because of the extremely noisy correlators. In particular, meson-like correlators contain disconnected contributions. The larger time-extention of the 16 3 · 32 lattice allows to observe two-state signals in the effective mass. Finite-volume effects are monitored by comparing results from the two lattice sizes.

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Section: − Bound Statesmentioning

confidence: 99%

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Farchioni

Peetz

2005

Eur. Phys. J. C

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“…1, contribute to the correlator of flavor singlet mesons like charmonium. They have been particularly studied for light quarks in connection with the U(1) A symmetry breaking and the η ′ mass, where the anomaly provides an enhancement of OZI contributions to pseudoscalar mesons -for lattice estimates see [22,23]. There is however no lattice calculation of their magnitude for heavy quarkonium states like charmonium.…”

Section: Introductionmentioning

confidence: 99%

Quenched charmonium spectrum

Choe¹,

Forcrand²,

Pérez³

et al. 2003

J. High Energy Phys.

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We study charmonium using the standard relativistic formalism in the quenched approximation, on a set of lattices with isotropic lattice spacings ranging from 0.1 to 0.04 fm. We concentrate on the calculation of the hyperfine splitting between η c and J/ψ, aiming for a controlled continuum extrapolation of this quantity. The splitting extracted from the non-perturbatively improved clover Dirac operator shows very little dependence on the lattice spacing for a ≤ 0.1fm. The dependence is much stronger for Wilson and tree-level improved clover operators, but they still yield consistent extrapolations if sufficiently fine lattices, a ≤ 0.07 fm (aM(η c ) ≤ 1), are used. Our result for the hyperfine splitting is 77(2)(6) MeV (where Sommer's parameter, r 0 , is used to fix the scale). This value remains about 30% below experiment. Dynamical fermions and OZI-forbidden diagrams both contribute to the remainder. Results for the η c and J/ψ wave functions are also presented.

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“…The inverse of such a matrix would be some approximate Dirac operator (the form of which depends on how many lines of non-zero components parallel to the inverse diagonal are allowed), and the resulting structure provides a choice for the probing vectors by constructing them such that the procedure would be exact if S would be exact. 6 The starting point in constructing the set of probing vectors is to assign colors to the adjacency graph associated with S by means of the Greedy Multicoloring Algorithm (see e.g. Ref.…”

Section: Algorithm 1: Greedy Multicoloring Algorithmmentioning

confidence: 99%

“…Refs. [3,4,5,6,7,8,9,10,11,12,13]), but usually a large computational effort and an appropriately chosen dilution scheme are required in order to sufficiently reduce the intrinsic stochastic noise.…”

Section: Introductionmentioning

confidence: 99%

Variance reduction with practical all-to-all lattice propagators

Endress¹,

Peña²,

Sivalingam³

2015

Computer Physics Communications

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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

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Flavor singlet pseudoscalar masses inNf=2QCD

Cited by 32 publications

References 21 publications

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Quenched charmonium spectrum

Variance reduction with practical all-to-all lattice propagators

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