Abstract:
Convergence is proved for the perturbation theory series for the dressing operators
needed to construct renormalized wave operators for the Yukawa model with fixed
parameters of the spatial and the ultraviolet cutoff.
Citation:
I. Ya. Aref'eva, “Renormalized scattering theory for Yukawa model I. Construction of dressing transformation”, TMF, 14:1 (1973), 3–17; Theoret. and Math. Phys., 14:1 (1973), 1–11
This publication is cited in the following 10 articles:
D. V. Prokhorenko, “ABC formula and R-operation for quantum processes with unstable states”, Theoret. and Math. Phys., 149:2 (2006), 1457–1473
Shvedov, OY, “Renormalization of Poincaré transformations in Hamiltonian semiclassical field theory”, Journal of Mathematical Physics, 43:4 (2002), 1809
Shvedov, OY, “Semiclassical symmetries”, Annals of Physics, 296:1 (2002), 51
L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Non-equilibrium Quantum Field Theory and Entangled Commutation Relations”, Proc. Steklov Inst. Math., 228 (2000), 106–125
V. P. Maslov, O. Yu. Shvedov, “Initial conditions in quasi-classical field theory”, Theoret. and Math. Phys., 114:2 (1998), 184–197
V. D. Koshmanenko, “Haag–Ruelle scattering theory as scattering theory in different state spaces”, Theoret. and Math. Phys., 38:2 (1979), 109–119
A. G. Basuev, “Convergence of the perturbation series for the Yukawa interaction”, Theoret. and Math. Phys., 22:2 (1975), 142–148
Yu. M. Pis'mak, “Proof of the 3-irreducibility of the third Legendre transform”, Theoret. and Math. Phys., 18:3 (1974), 211–218
I. Ya. Aref'eva, “Renormalized scattering theory for Yukawa model II. Wave operators”, Theoret. and Math. Phys., 15:2 (1973), 467–476
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
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