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Nonlocal stochastic quantization of scalar electrodynamics
Authors:M. Dineykhan  Kh. Namsrai
Affiliation:(1) Physics Department, Syracuse University, 13244-1130 Syracuse, New York;(2) Institute of Physics and Technology, Academy of Sciences, Mongolian People's Republic, Ulan-Bator, Mongolia
Abstract:Quantization of the electromagnetic interactions of scalar charged particles is considered within the stochastic Langevin and Schwinger-Dyson equations with nonlocal white noise. Fulfillment of the gauge-invariant condition in such a scheme is studied in detail. Matrix elements of the vacuum polarization and self-energy diagrams of the scalar electrodynamics are calculated explicitly, which reduce to usual nonlocal scalar electrodynamic results.
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