A remark on spin and statistics of baby skyrmion

Journal Article · Sat Sep 28 00:00:00 EDT 1991 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732391003237· OSTI ID:5305251

Otsu, H ^[1]; Sato, T ^[2]

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1. Ishikawa Polytechnic College, Anamizu 927 (JP)
2. Matsusaka Univ., Matsusaka, Mie 515 (JP)

The authors study spin and statistics of baby skyrmion, which is a topological soliton solution in the (2 + 1)-dimensional O(3) {sigma}-model. In this paper it is shown that the Hopf term written in terms of CP variables does not naively represent the topological charge associated with the non-triviality of {Pi}{sub 1} (S{sup 2} {r arrow} S{sup 2}). It is also pointed out, therefore, that the baby skyrmion cannot behave as anyon, even if the Hopf term written in terms of CP variables is added to the model.

• OSTI ID: 5305251
• Journal Information: Modern Physics Letters A; (United States), Vol. 6:30; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
SOLITONS
SPIN
STATISTICS
CHARGED PARTICLES
CP INVARIANCE
QUANTIZATION
SIGMA MODEL
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
ANGULAR MOMENTUM
BOSON-EXCHANGE MODELS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
QUASI PARTICLES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)