Connection between the behavior of electromagnetic form factors in the Bjorken limit and singularities of their Fourier transforms on the light cone
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 3, pp. 319-326
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
[1] H. Leutwyler, Lect. Notes Phys., 17 (1973), 245 | DOI
[2] M. Magg, Commun. Math. Phys., 38 (1974), 225 | DOI | MR
[3] V. A. Smirnov, TMF, 29 (1976), 336 | MR | Zbl
[4] J. Kühn, Nuovo Cim., 23A (1974), 420 | DOI | MR
[5] B. I. Zavyalov, TMF, 17 (1973), 178 ; 19 (1974), 163
[6] Yu. N. Drozhzhinov, B. I. Zavyalov, Mat. sb., 102 (144) (1977), 372 | Zbl
[7] E. Titchmarsh, Vvedenie v teoriyu integralov Fure, Gostekhizdat, 1948
[8] E. Brüning, P. Stichel, Commun. Math. Phys., 36 (1974), 137 ; Lect. Notes Phys., 39 (1975), 72 | DOI | MR | DOI