0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
Frolov P.A.1, Shebeko A.V.2
1 Institute of Electrophysics and Radiation Technologies, Nat. Acad. of Sci. of Ukraine
(28, Chernyshevskyi Str., P.O. Box 8812, Kharkiv 61002, Ukraine; e-mail: firstname.lastname@example.org)
2 Institute for Theoretical Physics, National Research Center “Kharkiv Institute of Physics and Technology”
(1, Akademichna Str., Kharkiv 61108, Ukraine)
Relativistic Invariance and Mass Renormalization in Quantum Field Theory
Section: Nuclei and nuclear reactions
Original Author's Text: English
Abstract: Starting from the instant form of relativistic quantum dynamics for a system of interacting fields, where only the Hamiltonian and the boost operators carry interactions among ten generators of the Poincar´e group, we propose a constructive way of ensuring the relativistic invariance (RI) in quantum field theory (QFT) with cutoffs in the momentum space. Our approach is based on an opportunity to separate a part in the primary Hamiltonian interaction, whose density in the Dirac (D) picture is the Lorentz scalar. In this work, we study the compatibility of the RI requirements as a whole, i.e., the fulfilment of the well-known commutations for these generators with the structure of mass counterterms in the total field Hamiltonian.
Key words: mass renormalization, relativistic invariance, quantum field theory.