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Equal-time irreducible-current commutators and dispersion relations. - ii

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DOI: 10.1007/BF02760740
OAI: oai:inspirehep.net:58646
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INSPIRE-HEP
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Abstract

The analysis of I is extended to include the use of all four spinor functions transforming like\(T_{\alpha \beta } [(1,0) \otimes (1,0*)],T_\alpha{}^\beta [1,0] \otimes (0,1)*]T^{\dot \alpha } {}_{\dot \beta }[(1,0) \otimes (1,0*)]andT^{\dot \alpha \beta } [1,0] \otimes (0,1)*]\) with respect to the homogeneous Lorentz group (H.L.G.), the spinor functions being defined by means of the irreducible currents transforming likeJ(1, 0) and\(\overline J \)(0, 1) with respect to the H.L.G. The dispersion sum rules are derived by use of the equal-time commutators of two currents or a current with the derivative of a current. The case where the two spin-one particles are massless is considered. The relation of this approach to the standard one is investigated.

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