Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

Galletly, D.; Gürtler, M.; Horsley, R.; Perlt, H.; Rakow, P. E. L.; Schierholz, G.; Schiller, A.; Streuer, T.

doi:10.1103/physrevd.75.073015

Cited by 19 publications

(14 citation statements)

References 63 publications

(59 reference statements)

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“…We measure the history of the topological charge Q to monitor the possible emergence of topological freezing, which might affect spectral measurements [89,90] (see also Refs. [91,92]).…”

Section: Scale Setting and Topologymentioning

confidence: 99%

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

et al. 2020

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We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter fields are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the first lattice study of this class of theories. The global SU (4) × SU (6) symmetry is broken to the Sp(4) × SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory.The main results of our quenched calculations are that, with fermions in the 2-index antisymmetric representation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between ∼ 1.2 and ∼ 2.7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N ) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected. We acknowledge useful discussions withWe summarise in this Appendix our conventions in the treatment of spinors, which are useful, for example, in switching between the 2-component and the 4-component notation (see also Ref. [50]). The former is best suited to highlight the symmetries of the system, while the latter is the formalism adopted as a starting point for the lattice numerical

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“…We measure the history of the topological charge Q to monitor the possible emergence of topological freezing, which might affect spectral measurements [89,90] (see also Refs. [91,92]).…”

Section: Scale Setting and Topologymentioning

confidence: 99%

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

et al. 2020

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“…[69]). Secondly, the values of physical observables depend on which topological sector a configuration is in [70]; sampling a single Q or an unrepresentative distribution of Qs will introduce an uncontrolled systematic error. It is therefore necessary to verify that Q not only moves sufficiently rapidly, but also displays the expected Gaussian histogram.…”

Section: Topological Charge Historymentioning

confidence: 99%

Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

Bennett

Hong

Lee

et al. 2018

J. High Energ. Phys.

191

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The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on the SU (4)/Sp(4) coset. We employ a combination of two different, complementary strategies for the numerical lattice calculations, based on the Hybrid Monte Carlo and on the Heat Bath algorithms. We perform pure Yang-Mills, quenched computations and exploratory studies with dynamical Wilson fermions.We present the first results in the literature for the spectrum of glueballs of the pure Sp(4) Yang-Mills theory, an EFT framework for the interpretation of the masses and decay constants of the lightest pion, vector and axial-vector mesons, and a preliminary calculation of the latter in the quenched approximation. We show the first numerical evidence of a bulk phase transition in the lattice theory with dynamical Wilson fermions, and perform the technical steps necessary to set up future investigations of the mesonic spectrum of the full theory.

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“…In more detail, we carry out the numerical computations by the technique of Refs. [20][21][22]. The massless overlap Dirac operator D(p) is save 0(80) pairs of the low-lying eigenvalues and eigen vectors of the overlap Dirac operator.…”

Section: B Simulation Detailsmentioning

confidence: 99%

“…In any case, as a dual superconductor the vacuum shields the monop oles, so that they are one-dimensional structures and do not influence the external space time: 0(V~i). For these reasons we expect that the distribution of zero modes (19)- (20) is unaffected by the additional monopoles espe cially at large space-time volumes V, except for the addition of some instantons.…”

Section: A Simulation Detailsmentioning

confidence: 99%

Instantons and monopoles

Giacomo

Hasegawa

2015

Phys. Rev. D

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This study is part of a research program aimed to investigate the relations between instantons, monopoles, and chiral symmetry breaking. Monopoles are important three-dimensional topological configurations existing in QCD, which are believed to produce color confinement. Instantons are four dimensional topological configurations and are known to be related to chiral symmetry breaking. To study the relation between monopoles and instantons we generate configurations which add static monopoleantimonopole pairs of opposite charges to the vacuum state by use of a monopole creation operator. We observe that the monopole creation operator only adds long monopole loops to the configurations. We then count the number of fermion zero modes using overlap fermions as a tool. As a result we find that each monopole-antimonopole pair of magnetic charge one adds one zero mode of chirality ±1, i.e. one instanton of topological charge ±1.

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Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

Cited by 19 publications

References 63 publications

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

Instantons and monopoles

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