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We consider the fermion mass renormalization due to the vector boson exchangewithin mesodynamics with nucleon and $\rho$ meson fields as well as quantumelectrodynamics with electron and photon fields. The method of unitary clothingtransformations is used to handle the so-called clothed particle representationthat allows us to get rid of mass counterterms directly in the Hamiltonian.Thus, they can no longer appear in the S-matrix. Special attention is paid tothe cancellation of the so-called contact terms that are inevitable in modelswith vector bosons. Within this formalism, the second-order mass shifts arederived. They are expressed through the corresponding three-dimensionalintegrals whose integrands depend on certain covariant combinations of therelevant three-momenta. Our results are proved to be particle-momentumindependent and compared with ones obtained by Feynman techniques.

Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange