On the Deser,Gilbert, Sudarshan representation for functions Wi(ν, q2)(i = 1, 2) describing the electroproduction process |
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Authors: | BV Geshkenbein AI Komech |
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Institution: | Institute for Theoretical and Experimental Physics, Moscow, USSR;M.V. Lomonosov Moscow State University, Moscow, USSR |
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Abstract: | The Deser, Gilbert, Sudarshan representation (D.G.S.R.) for the functions Wi(ν, q2) (i = 1,2) is considered as equations determining spectral functions hi(a, α) via the values Wi(ν, q2) in the physical region of the electroproduction channel. It is shown that if Wi(ν, q2) obey the microcausality and spectrality conditions, then the equations for hi(a, α) have solutions in the class of Schwartz temperated distributions and thereby the D.G.S.R. is proved. Formulae are obtained expressing spectral functions in the D.G.S.R. through the values of functions Wi(ν, q2) in the physical region of the electroproduction channel. |
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