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

The European physical journal. C, Particles and fields, 2017-02, Vol.77 (2), p.1, Article 88 [Peer Reviewed Journal]

The Author(s) 2017 ;COPYRIGHT 2017 Springer ;The European Physical Journal C is a copyright of Springer, 2017. ;ISSN: 1434-6044 ;EISSN: 1434-6052 ;DOI: 10.1140/epjc/s10052-017-4655-6

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Title:
New topological structures of Skyrme theory: baryon number and monopole number
Author: Cho, Y. M. ; Kimm, Kyoungtae ; Yoon, J. H. ; Zhang, Pengming
Subjects: Astronomy ; Astrophysics and Cosmology ; Elementary Particles ; Hadrons ; Heavy Ions ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Regular Article - Theoretical Physics ; String Theory
Is Part Of: The European physical journal. C, Particles and fields, 2017-02, Vol.77 (2), p.1, Article 88
Description: 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 π 3 ( S 3 ) and the monopole topology π 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 = m n . 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.
Publisher: Berlin/Heidelberg: Springer Berlin Heidelberg
Language: English
Identifier: ISSN: 1434-6044
EISSN: 1434-6052
DOI: 10.1140/epjc/s10052-017-4655-6
Source: SpringerOpen
ProQuest Central
DOAJ Directory of Open Access Journals

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

The Author(s) 2017 ;COPYRIGHT 2017 Springer ;The European Physical Journal C is a copyright of Springer, 2017. ;ISSN: 1434-6044 ;EISSN: 1434-6052 ;DOI: 10.1140/epjc/s10052-017-4655-6

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