On New Virtual Scalar Particles in Quantum Field Theory

Abstract

Quantum field theory is well-established framework for description of particles and their interactions. By application of the least action principle to a suitable Lagrangian, there are derived the classical field equations which are quantized and superpositions of their Fourier-like solutions are interpreted as particles. The fundamental quantization method is based on the Fock space. The key object of quantum field theory is canonical commutation relations, which create propagators of particles describing the probability amplitude for a particle to travel from one place to another in a given time. In this paper we study the Klein--Gordon equation, and show that making use of the standard canonical commutation relations, in some specific way which is fully consistent from the mathematical point of view, leads to new types of canonical commutation relations and, for this reason, to existence of new types of particles called the virtual particles.