Summary
We discuss the sum rules of equal-time algebra in a refined form of the infinite-momentum limit and show that they reduce to those obtained from light-cone commutators.
Riassunto
Si discutono le regole di somma dell’algebra dei tempi uguali in una forma raffinata del limite dell’impulso infinito e si dimostra che esse si riducono a quelle ottenute dalle relazioni di commutazione del cono luce.
Реэюме
Мы обсуждаем правила сумм равновременной алгебры в усоверщенствованной форме в пределе бесконечного импульса. Покаэывается, уто рассматриваемые правила сумм приводятся к правилам сумм, полученным иэ коммутаторов на световом конусе.
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References
J. M. Cornwall andR. Jackiw:Phys. Rev. D,4, 367 (1971).
J. B. Kogut andD. E. Soper:Phys. Rev. D,1, 2901 (1970);J. D. Bjorken, J. B. Kogut andD. E. Soper:Phys. Rev. D,3, 1382 (1971).
D. A. Dicus, R. Jackiw andV. L. Teplitz:Phys. Rev. D,4, 1733 (1971).
SeeS. L. Adler andR. F. Dashen:Current Algebra (New York, 1968), and references therein.
R. Jackiw:Comm. Nucl. Part. Phys.,5, 153 (1971).
G. Segré:Phys. Rev. Lett.,26, 796 (1971).
See Appendix B of ref. (3).
M. O. Taha:Causality and scaling restrictions on the electromagnetic equal-time commutators, Khartoum preprint (1973).
G. Calucci, R. Jengo, G. Furlan andC. Rebbi:Phys. Lett.,37 B, 416 (1971).
H. Leutwyler andP. Otterson:Theoretical problems in deep inelastic scattering, Bern preprint (1972).
J. W. Meyer andH. Suura:Phys. Rev.,160, 1366 (1967).
It is shown in ref.(8) that this assumption gives, from the «equal-time» causality sum rules of ref.(11), the «light-cone» causality sum rules of ref. (13).
H. Leutwyler andJ. Stern:Phys. Lett.,31 B, 458 (1970).
B. Schroer andP. Stichel:Comm. Math. Phys.,3, 258 (1966).
J. L. Gervais:Phys. Rev.,169, 1365 (1968).
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Taha, M.O. Equal-time algebra and light-cone commutators. Nuov Cim A 18, 663–674 (1973). https://doi.org/10.1007/BF02727583
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DOI: https://doi.org/10.1007/BF02727583