Domain walls with non-Abelian clouds

Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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 Kähler 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)L×SU(N)R×U(1) symmetry is broken down to SU(N)V, and U(N)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)V→U(1)Vn. 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.

Original languageEnglish
Article number125008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number12
DOIs
Publication statusPublished - 2008 Jun 5

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Domain Wall
Higgs
domain wall
Gauge Theory
gauge theory
Effective Field Theory
broken symmetry
Bound States
Symmetry Breaking
Model
Wave Function
Moduli Space
Range of data
Bosons
Scalar Field
metric space
Symmetry
Metric
bosons
wave functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Domain walls with non-Abelian clouds. / Eto, Minoru; Fujimori, Toshiaki; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 12, 125008, 05.06.2008.

Research output: Contribution to journalArticle

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