Meson mass decomposition from lattice QCD

Yang, Yi-Bo; Chen, Ying; Draper, Terrence; Gong, Ming; Liu, Keh-Fei; Li, Zhaofeng; Ma, J.P.

doi:10.1103/physrevd.91.074516

Cited by 35 publications

(36 citation statements)

References 31 publications

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“…This decomposition is quite popular in hadronic physics [2] and motivated many lattice QCD calculations, see e.g. [35][36][37] for recent related works. Ji's decomposition is sometimes criticized because it is performed in a specific frame and applies to massive states only [25,26].…”

Section: Ji's Decompositionmentioning

confidence: 99%

On the hadron mass decomposition

2018

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We argue that the standard decompositions of the hadron mass overlook pressure effects, and hence should be interpreted with great care. Based on the semiclassical picture, we propose a new decomposition that properly accounts for these pressure effects. Because of Lorentz covariance, we stress that the hadron mass decomposition automatically comes along with a stability constraint, which we discuss for the first time. We show also that if a hadron is seen as made of quarks and gluons, one cannot decompose its mass into more than two contributions without running into trouble with the consistency of the physical interpretation. In particular, the so-called quark mass and trace anomaly contributions appear to be purely conventional. Based on the current phenomenological values, we find that in average quarks exert a repulsive force inside nucleons, balanced exactly by the gluon attractive force.

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Section: Ji's Decompositionmentioning

confidence: 99%

On the hadron mass decomposition

2018

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“…As in Refs. [1,2], the Hamiltonian of QCD can be decomposed asin the rest frame of the hadron state where M is the hadron mass, T µν is the energy momentum tensor of QCD with T 44 as its expectation value in the hadron, and the trace anomaly gives…”

mentioning

confidence: 99%

“…Then we combine previously calculated H m [3] to obtain H a from Eq. (2), and the full decomposition of the proton energy in the rest frame as shown in Eq. (1).…”

mentioning

confidence: 99%

Proton Mass Decomposition from the QCD Energy Momentum Tensor

et al. 2018

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We report results on the proton mass decomposition and also on related quark and glue momentum fractions. The results are based on overlap valence fermions on four ensembles of N f = 2 + 1 DWF configurations with three lattice spacings and three volumes, and several pion masses including the physical pion mass. With fully non-perturbative renormalization (and universal normalization on both quark and gluon), we find that the quark energy and glue field energy contribute 33(4)(4)% and 37(5)(4)% respectively in the M S scheme at µ = 2 GeV. A quarter of the trace anomaly gives a 23 (1)(1)% contribution to the proton mass based on the sum rule, given 9(2)(1)% contribution from the u, d, and s quark scalar condensates. The u, d, s and glue momentum fractions in the M S scheme are in good agreement with global analyses at µ = 2 GeV.Introduction: In the standard model, Higgs boson provides the origin of quark masses. But how it is related to the proton mass and thus the masses of nuclei and atoms is another question. The masses of the valence quarks in the proton are just ∼3 MeV per quark which is directly related to the Higgs boson, while the total proton mass is 938 MeV. The percentage of the quark and gluon contributions to the proton mass can only be provided by solving QCD non-perturbatively, and/or with information from experiment. With phenomenological input, the first decomposition was carried out by Ji [1]. As in Refs. [1,2], the Hamiltonian of QCD can be decomposed asin the rest frame of the hadron state where M is the hadron mass, T µν is the energy momentum tensor of QCD with T 44 as its expectation value in the hadron, and the trace anomaly gives

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“…H m , the quark energy part H E , the gluon field energy part H g and the QCD trace anomaly part H a , i.e. M = − T 44 = H E + H m + H g + H a [60,61]. Furthermore, these can be related via 1 4 M = 1 4 H m + H a .…”

Section: *mentioning

confidence: 99%

“…Proportions of each contribution to the pseudoscalar meson mass as a function of the quark mass is presented in Fig. 14. For results on the vector meson and interesting physics conclusions, I refer to [60,61].…”

Section: *mentioning

confidence: 99%

Hadron Spectroscopy

Prelovšek¹

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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Recent results on the hadron spectroscopy from lattice QCD are reviewed with emphasis on the meson sector and in particular on quarkonium-like XY Z states. I report on the first rigorous treatment of the near-threshold states X(3872) and D 0 s (2317), and the lattice searches for Z + c (3900), X(4140) and double-charm tetraquark states. Meson resonances in light, strange and charm sector are reviewed, where the resonances masses as well as the strong decay widths are reported. The first lattice QCD simulation of two coupled-channels is discussed.

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Meson mass decomposition from lattice QCD

Cited by 35 publications

References 31 publications

On the hadron mass decomposition

On the hadron mass decomposition

Proton Mass Decomposition from the QCD Energy Momentum Tensor

Hadron Spectroscopy

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