Relativistic Invariance and Mass Renormalization in Quantum Field Theory


  • P. A. Frolov Institute of Electrophysics and Radiation Technologies, Nat. Acad. of Sci. of Ukraine
  • A. V. Shebeko Institute for Theoretical Physics, National Research Center “Kharkiv Institute of Physics and Technology”



mass renormalization, relativistic invariance, quantum field theory


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.


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How to Cite

Frolov, P. A., & Shebeko, A. V. (2018). Relativistic Invariance and Mass Renormalization in Quantum Field Theory. Ukrainian Journal of Physics, 59(11), 1060.



Nuclei and nuclear reactions