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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 45, Number 3, Pages 302–312
(Mi tmf4336)
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Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$ model
A. N. Kvinikhidze, B. A. Magradze, V. A. Matveev, M. A. Mestvirishvili, A. N. Tavkhelidze
Abstract:
A method is proposed for deriving an integral equation for the spectral density of the causal distributions of the single-particle diagonal matrix element of the commutator of scalar currents. In the ladder approximation of the $\Phi^3$ model in the case of a massless exchange particle, the equation is solved exactly. Closed expressions are found for the spectral functions of the Deser–Gilbert–Sudarshan and Jost–Lehmann–Dyson representations for the single-particle matrix element of the current commutator.
Received: 27.05.1980
Citation:
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 $\Phi^3$ model”, TMF, 45:3 (1980), 302–312; Theoret. and Math. Phys., 45:3 (1980), 1041–1048
Linking options:
https://www.mathnet.ru/eng/tmf4336 https://www.mathnet.ru/eng/tmf/v45/i3/p302
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