Dynamics of domain wall networks

Minoru Eto, Toshiaki Fujimori, Takayuki Nagashima, Muneto Nitta, Keisuke Ohashi, and Norisuke Sakai
Phys. Rev. D 76, 125025 – Published 26 December 2007

Abstract

Networks or webs of domain walls are admitted in Abelian or non-Abelian gauge theory coupled to fundamental Higgs fields with complex masses. We examine the dynamics of the domain wall loops by using the moduli approximation and find a phase rotation induces a repulsive force which can be understood as a Noether charge of Q-solitons. Non-Abelian gauge theory allows different types of loops which can be deformed to each other by changing a modulus. This admits the moduli geometry like a sandglass made by gluing the tips of the two cigar-(cone-)like metrics of a single triangle loop. We conclude that the sizes of all loops tend to grow for a late time in general models with complex Higgs masses, while the sizes are stabilized at some values once triplet masses are introduced for the Higgs fields. We also show that the stationary motion on the moduli space of the domain wall webs represents 1/4 Bogomol’nyi-Prasad-Sommerfield Q-webs of walls.

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  • Received 7 August 2007

DOI:https://doi.org/10.1103/PhysRevD.76.125025

©2007 American Physical Society

Authors & Affiliations

Minoru Eto1,2,*, Toshiaki Fujimori3,†, Takayuki Nagashima3,‡, Muneto Nitta4,§, Keisuke Ohashi5,∥, and Norisuke Sakai3,¶

  • 1INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy
  • 2Department of Physics, University of Pisa Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy
  • 3Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
  • 4Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521, Japan
  • 5Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 0WA, United Kingdom

  • *minoru@df.unipi.it
  • fujimori@th.phys.titech.ac.jp
  • nagashi@th.phys.titech.ac.jp
  • §nitta@phys-h.keio.ac.jp
  • K.Ohashi@damtp.cam.ac.uk
  • nsakai@th.phys.titech.ac.jp

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Issue

Vol. 76, Iss. 12 — 15 December 2007

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