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Causality and null-plane commutators

Причинность и коммутаторы на нулевой плоскости

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Il Nuovo Cimento A (1965-1970)

Summary

We derive the null-plane commutator of two conserved isovector currents between single-particle states in the forward direction, using the causal Dyson representation. In particular, we study theq-number Schwinger terms. The further restrictions due to scaling behaviour are also discussed.

Riassunto

Si deduce il commutatore sul piano nullo di due correnti isovettoriali conservate fra stati di una sola particella nella direzione in avanti, usando la rappresentazione causale di Dyson. Si studiano in particolare i termini di Schwinger di numeroq. Si discutono anche le ulteriori restrizioni dovute all’andamento della trasformazione di scala.

Реэюме

Испольэуя причинное представление Дайсона, мы выводим комму-татор на нулевой плоскости для двух сохраняюшихся иэовекторных токов между одночастичными состояниями в направлении вперед. В частности, мы исследуем щвингеровские члены, представляюшие q-числа. Также обсуждаются дополни-тельные ограничения, обусловленные поведением подобия.

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References

  1. J. M. Cornwall andR. Jackiw:Phys. Rev. D,4, 367 (1971);D. A. Dicus, R. Jackiw andV. L. Teplitz:Phys. Rev. D,4, 1733 (1971);D. A. Dicus andD. R. Palmer:Ann. of Phys. (to be published).

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  2. The light-cone structure of current commutators as abstracted from the free quark model has been given byH. Fritzsch andM. Gell-Mann: inBroken Scale Invariance and the Light Cone, 1971 Coral Gables Conference on Fundamental Interactions at High Energy, edited byM. Dal Cin, G. J. Iverson andA. Perlmutter, Vol.2 (New York, 1971). Light-cone expansions have also been discussed byY. Frishman:Phys. Rev. Lett.,25, 966 (1970);R. Brandt andG. Preparata:Nucl. Phys.,27 B, 541 (1971).

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  4. D. R. Palmer:Phys. Rev. D,5, 2575 (1972).

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Author notes

  1. M. A. Ahmed

    Present address: the Physics Department, University of Khartoum, Khartoum

Authors and Affiliations

  1. International Centre for Theoretical Physics, Trieste

    M. A. Ahmed

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  1. M. A. Ahmed
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Ahmed, M.A. Causality and null-plane commutators. Nuov Cim A 20, 72–84 (1974). https://doi.org/10.1007/BF02727437

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  • DOI: https://doi.org/10.1007/BF02727437

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