Summary
We present our results on the mass renormalization of a vector meson within the framework of shadow-state theory based on the techniques of the Feynman diagram, the unitarity and dispersion relations. We also contrast the analytic result obtained from the conventional renormalization prescription and the piecewise analytic result from the shadow-state theory.
Riassunto
Presentiamo i nostri risultati sulla rinormalizzazione della massa di un mesone vettoriale nello schema della teoria dello stato ombra basata sulle tecniche del diagramma di Feynman, l'unitarietà e le relazioni di dispersione. Contrapponiamo anche i risultati analitici della prescrizione di rinormalizzazione convenzionale ed i corrispondenti risultati analitici ottenuti dalla teoria dello stato ombra.
Резюме
Мы приводим наши результаты для перенормировки массы векторного мезона в рамках теории теневых состояний, основанной на технике фейнмановских диаграмм, унитарности и дисперсионных соотношениях. Мы также сопоставляем аналитический результат, полученный из стандартной процедуры перенормировки, и кусочно аналитический результат из теории теневых состояний.
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Footnotes
R. Raszka:Theory of Unstable Particles.—I:Relativistic Quantum Mechanics of Isolated Unstable Particles, preprint, University of Colorado, Boulder (1971).
E. C. G. Sudarshan:Field and Quanta,2, 175 (1972);A. M. Gleeson, R. J. Moore, H. Rechenberg andE. C. G. Sudarshan:Phys. Rev. D,4, 2242 (1971);J. L. Richard:Phys. Rev., to be published;C. C. Chiang:Phys. Rev., to be published;A. M. Gleeson andC. C. Chiang:The S-matrix for finite quantum electrodynamics in the Heisenberg representation, submitted toPhys. Rev.;C. C. Chiang:The S-matrix for finite quantum field theory in the interaction picture, in preparation.
E. C. G. Sudarshan: private communication, and see,e.g., ref. (2)..
B. W. Lee andM. T. Vaughn:Phys. Rev. Lett.,4, 578 (1960).
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Chiang, C.C., Chiu, C.B. Mass renormalization for a vector meson. Nuov Cim A 16, 511–521 (1973). https://doi.org/10.1007/BF02816789
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DOI: https://doi.org/10.1007/BF02816789