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Light-Cone Dominance in the Presence of Singularities Elsewhere in Coordinate Space
Author(s) -
R. L. Jaffe
Publication year - 1972
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.6.716
Subject(s) - physics , light cone , singularity , gravitational singularity , mathematical physics , limit (mathematics) , space (punctuation) , essential singularity , cone (formal languages) , function (biology) , quantum mechanics , particle physics , mathematical analysis , mathematics , algorithm , biology , linguistics , philosophy , evolutionary biology
To exemplify the special role played by the light-cone (y2=O) in highly inelastic electroproduction, we study the contribution to electroproduction of singularities on other hyperboloids, y2 = a2 > 0. A light-cone singularity is shown to dominate by at least the power V 3/4 over an equivalent singularity on the hyperboloid y2 =a2 in the Bjorken limit. Moreover, the leading contribution from a singularity at y2 = a2 is shown not to scale as a power of v multiplying a function of x = Q2/2Mv , but instead to oscillate with the (asymptotically infinite) frequency &?Mv (1 x) in the Bjorken limit. (Submitted to Physical Review, Comments and Addenda) *Work supported by the U. S. Atomic Energy Commission

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