Quantum Generation of the non-Abelian SU(N) Gauge Fields
P. I. Fomin, T. Yu. Kuzmenko
TL;DR
This paper explores how non-Abelian SU(N) gauge fields can be generated at the quantum level through the nonsmooth scalar phases of fundamental spinor fields, providing a new insight into gauge field emergence.
Contribution
It demonstrates that SU(N) gauge fields are generated quantum mechanically via nonsmooth scalar phases, a novel mechanism in gauge theory.
Findings
Gauge fields arise from nonsmooth scalar phases at the quantum level.
Explicit expressions for gauge fields in terms of scalar phases are derived.
The mechanism explains the quantum origin of non-Abelian gauge fields.
Abstract
In this paper we investigate a generation mechanism of the non-Abelian gauge fields in the SU(N) gauge theory. It is shown that the SU(N) gauge fields ensuring the local invariance of the theory are generated at the quantum level only due to nonsmoothness of the scalar phases of the fundamental spinor fields. The expression for the gauge fields are obtained in terms of the nonsmooth scalar phases.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Superconducting Materials and Applications