Domain walls with non-Abelian clouds
- INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
- Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
- Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521 (Japan)
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 0WA (United Kingdom)
Domain walls in U(N) gauge theories, coupled to Higgs scalar fields with degenerate masses, are shown to possess normalizable non-Abelian Nambu-Goldstone (NG) modes, which we call non-Abelian clouds. We construct the moduli space metric and its Kaehler potential of the effective field theory on the domain walls by focusing on two models: a U(1) gauge theory with several charged Higgs fields, and a U(N) gauge theory with 2N Higgs fields in the fundamental representation. We find that non-Abelian clouds spread between two domain walls and that their rotation induces a long-range repulsive force, in contrast to a U(1) mode in models with fully nondegenerate masses which gives a short-range force. We also construct a bound state of dyonic domain walls by introducing the imaginary part of the Higgs masses. In the latter model we find that when all walls coincide, SU(N){sub L}xSU(N){sub R}xU(1) symmetry is broken down to SU(N){sub V}, and U(N){sub A} NG modes and the same number of quasi-NG modes are localized on the wall. When n walls separate, off-diagonal elements of U(n) NG modes have wave functions spreading between two separated walls (non-Abelian clouds), whereas some quasi-NG modes turn to NG bosons as a result of further symmetry breaking U(n){sub V}{yields}U(1){sub V}{sup n}. In the case of 4+1-dimensional bulk, we can dualize the effective theory to the supersymmetric Freedman-Townsend model of non-Abelian 2-form fields.
- OSTI ID:
- 21205208
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.125008; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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