@article{Frolov_Shebeko_2018, title={Relativistic Invariance and Mass Renormalization in Quantum Field Theory}, volume={59}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018547}, DOI={10.15407/ujpe59.11.1060}, abstractNote={<p>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.</p>}, number={11}, journal={Ukrainian Journal of Physics}, author={Frolov, P. A. and Shebeko, A. V.}, year={2018}, month={Oct.}, pages={1060} }