Domain walls without a potential

Abstract

We show that domain walls, or kinks, can be constructed in simple scalar theories where the scalar has no potential. These theories belong to a class of k-essence where the Lagrangian vanishes identically when one lets the derivatives of the scalar vanish. The domain walls we construct have positive energy and stable quadratic perturbations. As particular cases, we find families of theories with domain walls and their quadratic perturbations identical to the ones of the canonical Mexican hat or sine-Gordon scalar theories. We show that canonical and non canonical cases are nevertheless distinguishable via higher order perturbations or a careful examination of the energies. In particular, in contrast to the usual case, our walls are local minima of the energy among the field configuration having some fixed topological charge, but not global minima.

24 pages, 5 figures

References in corpus (17)

• Global topological k-defects
• Generalized Global Defect Solutions
• k-defects as compactons
• Gauge k-vortices
• Escaping from the black hole?
• Doppelganger defects
• Hamiltonian vs stability and application to Horndeski theory
• Compact gauge K vortices
• Derrick's theorem beyond a potential
• Gravitating Global k-monopole
• DBI Global Strings
• Dirac Born Infeld (DBI) Cosmic Strings
• Cuscuton kinks and branes
• Kinks in higher derivative scalar field theory
• Stability of kinklike structures in generalized models
• Solitons in generalized galileon theories
• Stable static structures in models with higher-order derivatives