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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1977 Volume 33, Number 3, Pages 319–326 (Mi tmf3341)

This article is cited in 3 papers

Connection between the behavior of electromagnetic form factors in the Bjorken limit and singularities of their Fourier transforms on the light cone

V. A. Smirnov


Abstract: One-to-one correspondence between asymptotic behaviour of electromagnetic form factors in the Bjorken limit and singularities of their Fourier transforms in the neighbourhood of the light cone is established. The Bjorken limit for the electromagnetic form factor $\tilde F(q)$ is treated in the sense of the “asymptotics with respect to translations”: $\tilde F(q + tn)$ with $n^2=0$ at $t\to\infty$ which is correct for distributions from $S'(R^4)$ used in quantum field theory. Connection between different definitions of the Bjorken limit is established.

Received: 11.03.1977


 English version:
Theoretical and Mathematical Physics, 1977, 33:3, 1046–1051

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