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The Unitary Clothing Transformation Method in Quantum Field Theory. Renormalization of Coupling Constant

I. V. Yeletskikh

nucl-tharXiv:nucl-th/0701071

Abstract

Applying the unitary clothing transformation method in the model of charged spinless nucleons and neutral mesons interacting via the three-linear Yukawa-type coupling, the expression for the charge shift in the third order in the coupling constant is derived. Being determined off the energy shell, the ex-pression can be reduced on the energy shell to the explicitly covariant form, providing the independence of the particle momenta. Comparison with the cor-responding result of the Dyson covariant perturbation theory is performed by es-tablishing the link between the old-fashioned perturbation theory and the cloth-ing approach.

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