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 TMF, 1973, Volume 15, Number 2, Pages 207–220 (Mi tmf3659)

Renormalized scattering theory for Yukawa model II. Wave operators

I. Ya. Aref'eva

Abstract: For the Yukawa model, the dressing operator $T_0(g,\sigma)$ is used to construct a space $\mathscr H_{\operatorname {ren}}$ which differs from the Fok space, in which the renormalized Hamiltonian $\Bar{H}_{\operatorname {ren}}(1,\sigma)$ with removed space cutoff but fixed parameter of the ultraviolet cutoff is a self-adjoint operator. The existence of renormalized operators is proved for the pair of operators $H_0$ and $\Bar{H}_{\operatorname {ren}}(1,\sigma)$.

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English version:
Theoretical and Mathematical Physics, 1973, 15:2, 467–476

Document Type: Article

Citation: I. Ya. Aref'eva, “Renormalized scattering theory for Yukawa model II. Wave operators”, TMF, 15:2 (1973), 207–220; Theoret. and Math. Phys., 15:2 (1973), 467–476

Citation in format AMSBIB
\Bibitem{Are73} \by I.~Ya.~Aref'eva \paper Renormalized scattering theory for Yukawa model~II. Wave operators \jour TMF \yr 1973 \vol 15 \issue 2 \pages 207--220 \mathnet{http://mi.mathnet.ru/tmf3659} \transl \jour Theoret. and Math. Phys. \yr 1973 \vol 15 \issue 2 \pages 467--476 \crossref{https://doi.org/10.1007/BF01028220} 

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This publication is cited in the following articles:
1. I. Ya. Aref'eva, P. P. Kulish, “Representations of canonical commutation relations in the limit of an infinite volume”, Theoret. and Math. Phys., 17:1 (1973), 945–955
2. A. G. Basuev, “Convergence of the perturbation series for the Yukawa interaction”, Theoret. and Math. Phys., 22:2 (1975), 142–148
3. V. P. Maslov, O. Yu. Shvedov, “Initial conditions in quasi-classical field theory”, Theoret. and Math. Phys., 114:2 (1998), 184–197
4. Shvedov, OY, “Renormalization of Poincaré transformations in Hamiltonian semiclassical field theory”, Journal of Mathematical Physics, 43:4 (2002), 1809
5. Shvedov, OY, “Semiclassical symmetries”, Annals of Physics, 296:1 (2002), 51
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