Skyrmions from Instantons inside Domain Walls

Journal Article · Fri Dec 16 00:00:00 EST 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.252003· OSTI ID:20699697

Eto, Minoru; Nitta, Muneto; Ohashi, Keisuke ^[1]; Tong, David ^[2]

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1. Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551 (Japan)
2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA (United Kingdom)

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-Abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show that the world volume dynamics of the wall is given by the Skyrme model, including the four-derivative term, and the instantons appear as domain wall Skyrmions.

• OSTI ID: 20699697
• Journal Information: Physical Review Letters, Vol. 95, Issue 25; Other Information: DOI: 10.1103/PhysRevLett.95.252003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
INSTANTONS
MATHEMATICAL SOLUTIONS
SKYRME POTENTIAL
SOLITONS
STRING MODELS
YANG-MILLS THEORY