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
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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.
@article{TMF_1977_33_3_a2,
author = {V. A. Smirnov},
title = {Connection between the behavior of electromagnetic form factors in the {Bjorken} limit and singularities of their {Fourier} transforms on the light cone},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {319--326},
year = {1977},
volume = {33},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_33_3_a2/}
}
TY - JOUR AU - V. A. Smirnov TI - Connection between the behavior of electromagnetic form factors in the Bjorken limit and singularities of their Fourier transforms on the light cone JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1977 SP - 319 EP - 326 VL - 33 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1977_33_3_a2/ LA - ru ID - TMF_1977_33_3_a2 ER -
%0 Journal Article %A V. A. Smirnov %T Connection between the behavior of electromagnetic form factors in the Bjorken limit and singularities of their Fourier transforms on the light cone %J Teoretičeskaâ i matematičeskaâ fizika %D 1977 %P 319-326 %V 33 %N 3 %U http://geodesic.mathdoc.fr/item/TMF_1977_33_3_a2/ %G ru %F TMF_1977_33_3_a2
V. A. Smirnov. 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. http://geodesic.mathdoc.fr/item/TMF_1977_33_3_a2/
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