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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.04295 |
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| _version_ | 1866908990272700416 |
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| author | Kostylenko, Yan Shebeko, Aleksandr |
| author_facet | Kostylenko, Yan Shebeko, Aleksandr |
| contents | We consider the fermion mass renormalization due to the vector boson exchange within mesodynamics with nucleon and $ρ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04295 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange Kostylenko, Yan Shebeko, Aleksandr High Energy Physics - Phenomenology High Energy Physics - Theory 81T16 We consider the fermion mass renormalization due to the vector boson exchange within mesodynamics with nucleon and $ρ$ 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. |
| title | Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory 81T16 |
| url | https://arxiv.org/abs/2312.04295 |