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Ukr. J. Phys. 2015, Vol. 59, N 11, p.1060-1064
doi:10.15407/ujpe59.11.1060    Paper

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: frolovpa@mail.ru)
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.