A Lagrangian formulation of the classical and quantum dynamics of spinning particles

Brink, Lars; Vecchia, P. Di; Howe, Paul

doi:10.1016/0550-3213(77)90364-9

Cited by 431 publications

(378 citation statements)

References 5 publications

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“…Now, applying the FeynmanSchwinger representation to the single-quark propagators and introducing the einbein fields µ 1,2 to simplify the relativistic kinematics [3], we, finally, arrive at the following expression for the Hamiltonian of the meson [4,5]:…”

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Orbitally excited D and B mesons in the approach of the QCD string with quarks at the ends

Kalashnikova

Nefediev²

2002

Physics Letters B

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In this letter we discuss the masses and the splittings of 1 2S+1 P J states in the spectrum of D and B mesons, as they appear in the approach of the QCD string with quarks at the ends. We find good agreement of our predictions with those of other QCDmotivated models as well as with the lattice and experimental data, including recent experimental results. We discuss the ordering pattern for P levels in D-and B-mesonic spectrum.Data on the spectroscopy of heavy-light mesons coming from various experimental collaborations are challenge for theorists, and these are D and B mesons to play an important role in checks of the validity and accuracy of the models.In this letter we address questions concerning the masses of orbitally excited D and B mesons in the method of the QCD string with quarks at the ends, paying special attention to the ordering of the P levels. The choice of D and B mesons is not accidental and is stipulated by the recent data on the masses and decays of the above mentioned heavy-light mesons coming from various experimental collaborations. Despite of the fact that there is no agreement between them and some resonances are not yet confirmed, still we find it interesting to compare these experimental data, as well as those provided by other models and lattice simulations, with the predictions of our approach. First, let us remind the reader the basic ideas of the latter.Starting from the gauge-invariant wave function of the qq meson,with Φ being the parallel transporter, we write the Green's function of the meson,

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Orbitally excited D and B mesons in the approach of the QCD string with quarks at the ends

Kalashnikova

Nefediev²

2002

Physics Letters B

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“…To illustrate this observation in a more generic setting, we consider a novel 4D "superspinning particle" action inspired by the "spinning particle" [22,23]; its supertwistor reformulation shows that it describes, upon quantization, the irreducible 4D N = 1 massive supermultiplet of superspin 1/2.…”

Section: Jhep06(2017)151mentioning

confidence: 99%

“…where ζ is a new anticommuting Lagrange multiplier for a new constraint; the new constraint function generates a local worldline supersymmetry (exactly as it does for the massive spinning particle of [23] because the Θ-dependent terms are invariant under this new gauge transformation). If the mass is set to zero and the anticommuting scalar variable ξ is omitted then we get the "spinning superparticle" of [34,35].…”

Section: The Superspinning Particlementioning

confidence: 99%

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Pauli-Lubanski, supertwistors, and the superspinning particle

Arvanitakis

Mezincescu

Townsend

2017

J. High Energ. Phys.

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We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a "superspinning particle" of superspin 1/2. We then use an Sl(2; K)-spinor formalism for K = R, C, H to unify our 4D results with previous results for 3D and 6D.

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“…The Worldline Lagrangian is invariant under the world-sheet supersymmetry [17] δ x µ = − 1 2 ψ µ , δ ψ µ = ẋ µ…”

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The effective two-loop Euler-Heisenberg action for scalar and spinor QED in a general constant background field

Körs

Schmidt

1999

Eur. Phys. J. C

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A Lagrangian formulation of the classical and quantum dynamics of spinning particles

Cited by 431 publications

References 5 publications

Orbitally excited D and B mesons in the approach of the QCD string with quarks at the ends

Orbitally excited D and B mesons in the approach of the QCD string with quarks at the ends

Pauli-Lubanski, supertwistors, and the superspinning particle

The effective two-loop Euler-Heisenberg action for scalar and spinor QED in a general constant background field

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