BPS domain wall solutions in self-dual Chern-Simons-Higgs systems (original) (raw)
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The BPS Domain Wall Solutions in Self-Dual Chern-Simons-Higgs Systems
Physical Review D
We study domain wall solitons in the relativistic self-dual Chern-Simons Higgs systems by the dimensional reduction method to two dimensional spacetime. The Bogomolny bound on the energy is given by two conserved quantities in a similar way that the energy bound for BPS dyons is set in some Yang-Mills-Higgs systems in four dimensions.
Domain walls in a generalized Chern–Simons model
European Physical Journal C, 2010
In this paper we study the structure of one dimensional topological solitons in a generalized Abelian-Higgs Chern–Simons model where the kinetic term is non-canonical. We present an example of an analytical self-dual electrically charged soliton solution which has a finite momentum per unit length along its direction. We compared the physical properties of our soliton with those for wall of Jackiw–Lee–Weinberg wall presented in Jackiw et al. (Phys. Rev. D 42:3488, 1990) to conclude that the non-canonical kinetic term can make the wall “thicker” redistributing uniformly the momentum flow along it.
On the solitons of the Chern-Simons-Higgs model
The European Physical Journal C, 1999
Several issues concerning the self-dual solutions of the Chern-Simons-Higgs model are addressed. The topology of the configuration space of the model is analysed when the space manifold is either the plane or an infinite cylinder. We study the local structure of the moduli space of self-dual solitons in the second case by means of an index computation. It is shown how to manage the non-integer contribution to the heat-kernel supertrace due to the non-compactness of the base space. A physical picture of the local coordinates parametrizing the non-topological soliton moduli space arises .
Self-dual Maxwell–Chern–Simons solitons from a Lorentz-violating model
Physics Letters B, 2013
Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view. In particular we show that the solutions of these equations are Nielsen-Olesen vortices with electric charge.
The existence of non-topological solitons in the self-dual Chern-Simons theory
Communications in Mathematical Physics, 1992
In the recently discovered (2 + l)-dimensional relativistic Chern-Simons model, self-duality can be achieved when the Higgs potential density assumes a special form for which both the asymmetric and symmetric vacua are ground state solutions. This important feature may imply the coexistence of static topological and non-topological vortex-like solutions in R 2 but the latter have been rather elusive to a rigorous construction. Our main purpose in this paper is to prove the existence of non-topological radially symmetric iV-vortex solutions in the self-dual Chern-Simons model. By a shooting method, we obtain a continuous family of gauge-distinct Nvortex solutions. Moreover, we are also able to classify all possible bare (or 0-vortex) solutions.
Advances in High Energy Physics, 2016
We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions,ω1(|ϕ|)andω(|ϕ|), which split the kinetic term of the Higgs field,|Dμϕ|2→ω1(|ϕ|)|D0ϕ|2-ω(|ϕ|)|Dkϕ|2, breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whetherω(|ϕ|)∝β|ϕ|2β-2withβ≥1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing functionω1(|ϕ|)which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual|ϕ|6-vortex solutions have been analyzed from both theoretical and numerical point of view.
Nontopological solitons in Chern-Simons systems
Physical Review D, 1991
We show that in the relativistic Abelian case nontopological Chem-Simons solitons are stable against the emission of elementary particles, when a particular small correction is added to the potential corresponding to the self-dual system. We also analyze other potentials and introduce a necessary condition for the existence of nontopological solitons in Chem-Simons systems. A great deal of attention has been recently drawn to three-dimensional relativistic systems in which the gauge field dynamics is solely governed by the Chem-Simons term [1-10]. In particular, from Refs. [1-3] one learns that when the potential in a relativistic Abelian system has a very specific form, the corresponding field configurations satisfy first-order self-dual equations. Furthermore, this specific form of the potential corresponds to a first-order transition point in which the symmetric and asymmetric vacua are degenerate, and the self-dual Chem-Simons sol
Self-dual soliton solutions in a Chern–Simons-CP(1) model with a nonstandard kinetic term
Modern Physics Letters A, 2014
A generalization of the Chern-Simons-CP(1) model is considered by introducing a nonstandard kinetic term. For a particular case, of this nonstandard kinetic term, we show that the model support self-dual Bogomolnyi equations. The BPS energy has a bound proportional to the sum of the magnetic flux and the CP(1) topological charge. The self-dual equations are solved analytically and verified numerically.
A generalized self-dual Chern-Simons Higgs theory
Letters in Mathematical Physics, 1991
In the recently discovered Chern-Slmons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the Higgs potential energy function, which is characterized by a ~b 6 type self-interaction. The purpose of this paper is to show that a much wider class of Higgs self-interaction may be allowed to achieve self-duality provided that the kinetic energy term of the Higgs scalar is suitably modified. The existence of topological multivortex solutions is also established. Furthermore, it 1s remarked that the Melssner effect may occur in the model.
Self-dual SU(3) Chern-Simons Higgs systems
Physical Review D, 1994
We explore self-dual Chern-Simons Higgs systems with the local SU(3) and global U(1) symmetries where the matter field lies in the adjoint representation.