Homotopy of Rational Maps and the Quantization of Skyrmions

Details Homotopy of Rational Maps and the Quantization of Skyrmions Homotopy of Rational Maps and the Quantization of Skyrmions

2002-10-31

arxiv.org/abs/hep-th/0210310v1

Annals Phys. 304 (2003) 103-127

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 2 tables

Scientific paper

10.1016/S0003-4916(03)00014-9

The Skyrme model is a classical field theory which models the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to take the Finkelstein-Rubinstein constraints into account. The aim of this paper is to show how to calculate these FR constraints directly from the rational map ansatz using basic homotopy theory. We then apply this construction in order to quantize the Skyrme model in the simplest approximation, the zero mode quantization. This is carried out for up to 22 nucleons, and the results are compared to experiment.

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