Quantization of Scalar Field Theory with Internal Symmetry

Details Quantization of Scalar Field Theory with Internal Symmetry Quantization of Scalar Field Theory with Internal Symmetry

2011-03-05

arxiv.org/abs/1103.1052v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures

Scientific paper

We consider the simple theoretical model of scalar fields in one spatial dimension with an internal symmetry. We use the Schr\"{o}dinger picture to describe the quantum properties of localized solutions. Making use of collective coordinates method allows to develop a perturbation theory, which exactly describes symmetry properties of theory. As examples the U(1) and SU(2) symmetries are analyzed and dependence of the energy of quantum levels on quantum numbers caused by corresponding symmetries is obtained.

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