Adjoint sources in lattice gauge theory

Michael, Christopher

doi:10.1016/0550-3213(85)90297-4

Cited by 518 publications

(470 citation statements)

References 11 publications

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“…Investigation of gluelumps was motivated by interest in the properties of bound states of massive gluinos and gluons [13]. The initial lattice investigation was made by Michael in 1985 in quenched SU(2) gauge theory [14,15].…”

Section: Gluelumpsmentioning

confidence: 99%

Hybrid mesons

Meyer

Swanson

2015

Progress in Particle and Nuclear Physics

198

176

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A review of the theoretical and experimental status of hybrid hadrons is presented. The states π 1 (1400), π 1 (1600), and π 1 (2015) are thoroughly reviewed, along with experimental results from GAMS, VES, Obelix, COMPASS, KEK, CLEO, Crystal Barrel, CLAS, and BNL. Theoretical lattice results on the gluelump spectrum, adiabatic potentials, heavy and light hybrids, and transition matrix elements are discussed. These are compared with bag, string, flux tube, and constituent gluon models. Strong and electromagnetic decay models are described and compared to lattice gauge theory results. We conclude that while good evidence for the existence of a light isovector exotic meson exists, its confirmation as a hybrid meson awaits discovery of its iso-partners. We also conclude that lattice gauge theory rules out a number of hybrid models and provides a reference to judge the success of others.

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Section: Gluelumpsmentioning

confidence: 99%

Hybrid mesons

Meyer

Swanson

2015

Progress in Particle and Nuclear Physics

198

176

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“…In order to robustly extract many energy levels in each channel we follow our well established procedure [46]: a matrix of two-point correlation functions, C ij (t), is computed using a basis of operators with the relevant quantum numbers. A variational procedure [47] is employed, which amounts to solving a generalised eigenvalue problem,…”

Section: Finite-volume Spectramentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

171

266

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We present the first lattice QCD study of coupled-channel Dπ, Dη and D sK scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher's method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at m π ≈ 391 MeV, we find a pole corresponding to a J P = 0 + near-threshold bound state with a large coupling to Dπ. We also find a deeply bound J P = 1 − state, and evidence for a J P = 2 + narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.

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“…is applied to extract the discrete spectrum E n [12,[38][39][40]. The resulting eigenvalues λ n (t) ∼ e −En(t−t 0 ) give the effective energies E eff n (t) ≡ log[λ n (t)/λ n (t + 1)] → E n .…”

Section: Jhep04(2014)162mentioning

confidence: 99%

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Lang

Leskovec

Mohler

et al. 2014

J. High Energ. Phys.

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Abstract:The light axial-vector resonances a 1 (1260) and b 1 (1235) are explored in N f = 2 lattice QCD by simulating the corresponding scattering channels ρπ and ωπ. Interpolating fields qq and ρπ or ωπ are used to extract the s-wave phase shifts for the first time. The ρ and ω are treated as stable and we argue that this is justified in the considered energy range and for our parameters m π ≃ 266 MeV and L ≃ 2 fm. We neglect other channels that would be open when using physical masses in continuum. Assuming a resonance interpretation a Breit-Wigner fit to the phase shift gives the a 1 (1260) resonance mass m res a 1 = 1.435(53)( +0 −109 ) GeV compared to m exp a 1 = 1.230(40) GeV. The a 1 width Γ a 1 (s) ≡ g 2 p/s is parametrized in terms of the coupling and we obtain g a 1 ρπ = 1.71(39) GeV compared to g exp a 1 ρπ = 1.35(30) GeV derived from Γ exp a 1 = 425(175) MeV. In the b 1 channel, we find energy levels related to π(0)ω(0) and b 1 (1235), and the lowest level is found at E 1 m ω + m π but is within uncertainty also compatible with an attractive interaction. Assuming the coupling g b 1 ωπ extracted from the experimental width we estimate m res b 1 = 1.414(36) +0 −83 .

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Adjoint sources in lattice gauge theory

Cited by 518 publications

References 11 publications

Hybrid mesons

Hybrid mesons

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

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