Q-balls in DBI type k field theory

Masashi Kuniyasu, Nobuyuki Sakai, and Kiyoshi Shiraishi
Phys. Rev. D 94, 116001 – Published 2 December 2016

Abstract

We of Q-balls in Dirac-Born-Infeld type k field theory, whose action includes a nonlinear kinetic term, 1bgμνμϕaνϕa/b. Specifically, for two potentials, V3=m2ϕ2/2μϕ3+λϕ4 and V4=m2ϕ2/2λϕ4+ϕ6/M2, we survey equilibrium solutions for the whole parameter space and analyze their stability through the use of catastrophe theory. Our analysis shows that V3 and V4 models fall into fold catastrophe and cusp catastrophe types, respectively, just as for canonical Q-balls. We also find that, as long as the absolute minimum of V(ϕ) is located at ϕ=0, equilibrium solutions exist without any additional constraint on charge Q no matter how large b (nonlinearity) is.

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  • Received 20 September 2016

DOI:https://doi.org/10.1103/PhysRevD.94.116001

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsParticles & Fields

Authors & Affiliations

Masashi Kuniyasu*, Nobuyuki Sakai, and Kiyoshi Shiraishi

  • Graduate School of Science and Engineering, Yamaguchi University, Yamaguchi 753-8512, Japan

  • *u003wa@yamaguchi-u.ac.jp
  • nsakai@yamaguchi-u.ac.jp
  • shiraish@yamaguchi-u.ac.jp

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Issue

Vol. 94, Iss. 11 — 1 December 2016

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