Abstract:
It is shown that sufficient conditions for scaling of electromagnetic form factors, which reduce to the requirement that there exist quasiasymptotics of the spectral densities, are also necessary conditions.
Citation:
B. I. Zavialov, ““Quasiasymptotics” of generalized functions and scaling of electromagnetic form factors”, TMF, 19:2 (1974), 163–171; Theoret. and Math. Phys., 19:2 (1974), 426–432
\Bibitem{Zav74}
\by B.~I.~Zavialov
\paper ``Quasiasymptotics'' of generalized functions and scaling of electromagnetic form factors
\jour TMF
\yr 1974
\vol 19
\issue 2
\pages 163--171
\mathnet{http://mi.mathnet.ru/tmf3575}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468648}
\zmath{https://zbmath.org/?q=an:0294.46030}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 2
\pages 426--432
\crossref{https://doi.org/10.1007/BF01035942}
Linking options:
https://www.mathnet.ru/eng/tmf3575
https://www.mathnet.ru/eng/tmf/v19/i2/p163
This publication is cited in the following 14 articles:
Snježana Maksimović, Sanja Atanasova, Zoran D. Mitrović, Salma Haque, Nabil Mlaiki, “Abelian and Tauberian results for the fractional Fourier cosine (sine) transform”, MATH, 9:5 (2024), 12225
V. S. Vladimirov, “Scale-invariant asymptotic (automodel) behavior in quantum field theory”, Theoret. and Math. Phys., 170:1 (2012), 97–99
Yu. N. Drozhzhinov, B. I. Zavialov, “Wiener-Type Tauberian Theorems for Generalized Functions on the Half-Axis”, Proc. Steklov Inst. Math., 228 (2000), 43–51
V. S. Vladimirov, B. I. Zavialov, “Self-similar asymptotic behavior of causal functions and their behavior on the light cone”, Theoret. and Math. Phys., 50:2 (1982), 105–126
A. N. Kvinikhidze, B. A. Magradze, V. A. Matveev, M. A. Mestvirishvili, A. N. Tavkhelidze, “Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder Φ3Φ3 model”, Theoret. and Math. Phys., 45:3 (1980), 1041–1048
V. S. Vladimirov, B. I. Zav'yalov, “Tauberian theorems in quantum field theory”, J. Soviet Math., 16:6 (1981), 1487–1509
S. I. Maximov, “Scaling of inclusive form factors with respect to a generalized scaled variable”, Theoret. and Math. Phys., 38:3 (1979), 212–219
A. V. Kiselev, M. A. Mestvirishvili, V. E. Rochev, “Breaking of scale invariance and behavior of the spectral function in the Jost–Lehmann–Dyson representation”, Theoret. and Math. Phys., 39:1 (1979), 305–313
V. S. Vladimirov, B. I. Zavialov, “Tauberian theorems in quantum field theory”, Theoret. and Math. Phys., 40:2 (1979), 660–677
V. A. Smirnov, “Connection between the asymptotic behavior of electromagnetic form factors and the singularities of their Fourier transforms”, Theoret. and Math. Phys., 35:2 (1978), 455–458
A. V. Kudinov, K. G. Chetyrkin, “Scaling at short distances and the behavior of R(s)R(s) as s→∞s→∞”, Theoret. and Math. Phys., 34:1 (1978), 86–89
B. I. Zavialov, “Bjorken asymptotic behavior of deep inelastic scattering form factors and the general principles of field theory”, Theoret. and Math. Phys., 33:3 (1977), 1040–1046
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”, Theoret. and Math. Phys., 33:3 (1977), 1046–1051
V. A. Smirnov, “Asymptotic expansions of generalized functions with singularities on the light cone”, Theoret. and Math. Phys., 29:3 (1976), 1108–1115
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