Multi-particle field operators in quantum field theory

TL;DR

This paper develops a framework for multi-particle fields in quantum field theory, deriving gauge interactions and confinement mechanisms for quarks and gluons using multi-particle gauge fields.

Contribution

It introduces multi-particle field operators and constructs dynamic equations that describe quark interactions and confinement within hadrons.

Findings

Derived multi-particle gauge fields from multi-particle hadronic fields

Formulated equations describing quark interactions and confinement

Identified two-gluon bound states as quanta of the multi-particle gluon field

Abstract

Using bi-spinor fields we write the pseudo-scalar and bi-spinor fields that are characterized by the field functions of coordinates of several particles, namely multi-particle fields. By applying the quantization procedure to these multi-particle fields, hadronic creation and annihilation operators have been obtained. Due to internal degrees of freedom of such hadron field, it can interact with gauge fields. This interaction is introduced by a standard derivative extension. The gauge field which was obtained in this way revealed to be a multi-particle field. We construct the dynamic equations for this multi-particle gauge field. It was shown that the solutions of these equations can describe the interaction of quarks inside hadrons and also the interaction of quarks in different hadrons via two-particle gluon field. Quanta of this two-gluon field can be considered as bound states of two gluons. These solutions describe confinement of quarks and gluons.