Multi-particle field operators in quantum field theory

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.

17 pages, 4 figures (v2: number of text improvements, minor typos corrected)

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