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”
Keywords: mass renormalization, relativistic invariance, quantum field theory

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.

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Published
2018-10-28
How to Cite
Frolov, P., & Shebeko, A. (2018). Relativistic Invariance and Mass Renormalization in Quantum Field Theory. Ukrainian Journal of Physics, 59(11), 1060. https://doi.org/10.15407/ujpe59.11.1060
Section
Nuclei and nuclear reactions