The Representation of Quantum Field Theory without Infinity Bare Masses and Coupling Constants of Fermions

TL;DR

This paper introduces a novel approach to quantum field theory that avoids infinities by using counter-terms and special unitary transformations, eliminating the need for infinite bare masses and coupling constants.

Contribution

It presents a new representation of quantum field theory that manages divergences without infinite parameters through specific Hamiltonian transformations.

Findings

Counter-terms effectively cancel divergences in fermion self-energy diagrams.

Vacuum polarization divergences are addressed without infinite parameters.

The approach applies at all orders of perturbation theory.

Abstract

The paper presents the representation of quantum field theory without introduction of infinity bare masses and coupling constants of fermions. Counter-terms, compensating for divergent quantities in self-energy diagrams of fermions and vacuum polarization diagrams at all orders of the perturbation theory, appear in the appropriate Hamiltonians under the special time-dependent unitary transformation.