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arXiv · 2312.04295

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

Yan Kostylenko·Aleksandr Shebeko
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Abstract

We consider the fermion mass renormalization due to the vector boson exchange within mesodynamics with nucleon and $\rho$ meson fields as well as quantum electrodynamics with electron and photon fields. The method of unitary clothing transformations is used to handle the so-called clothed particle representation that 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 to the cancellation of the so-called contact terms that are inevitable in models with vector bosons. Within this formalism, the second-order mass shifts are derived. They are expressed through the corresponding three-dimensional integrals whose integrands depend on certain covariant combinations of the relevant three-momenta. Our results are proved to be particle-momentum independent and compared with ones obtained by Feynman techniques.

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Yan Kostylenko, Aleksandr Shebeko. 2023-12-07. Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange. https://doi.org/10.1103/physrevd.108.125019

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