Work

New topological structures of Skyrme theory: baryon number and monopole number

Year: 2017

Type: article

Abstract: Based on the observation that the skyrmion in Skyrme theory can be viewed as a dressed monopole, we show that the skyrmions have two independent topology, the baryon topology $$\pi _3(S^3)$$ and the monopole topology $$\pi _2(S^2)$$ . With this we propose to classify the skyrmions by two topological numbers (m, n), the monopole number m and the shell (radial) number n. In this scheme the popular (non spherically symmetric) skyrmions are classified as the (m, 1) skyrmions but the spherically symmetric skyrmions are classified as the (1, n) skyrmions, and the baryon number B is given by $$B=mn$$ . Moreover, we show that the vacuum of the Skyrme theory has the structure of the vacuum of the Sine-Gordon theory and QCD combined together, which can also be classified by two topological numbers (p, q). This puts the Skyrme theory in a totally new perspective.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-017-4655-6

Authors: Y. M. Cho, Kyoungtae Kimm, J. H. Yoon, Pengming Zhang

Institutions: Seoul National University, Chinese Academy of Sciences, Konkuk University, Institute of Modern Physics

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond