13 research outputs found
Double field domain walls with explicit symmetry breaking
We study the dynamics of domain walls in a double-field model in which the
U(1) symmetry is broken both spontaneously and explicitly. The global U(1)
symmetry of the system is restored when the symmetry breaking parameter
is set to zero. Two pairs of degenerate kinks exist in the model
with are related to each other by a transformation. We first calculate
the single domain wall solutions and then investigate collision processes.
These include simple scattering, pair annihilation, pair capture, and other
interesting processes. The possibility of the domain wall being punctured by a
string is also investigated.Comment: 15 pages, 7 figure
Fluid Dynamical Description of Sine-Gordon Solitons
We present a fluid dynamical description of a relativistic scalar field in
dimensions and apply the general results to the special case of
Sine-Gordon solitons. The results which include the local quantities pressure,
density and fluid velocity are compared to the standard quantities attributed
to the solitons
Dynamics of kink train solutions in deformed Multiple sine-Gordon models
This paper examines the effects of a thin layer of inhomogeneity on periodic
solutions of the Multiple-sine-Gordon (MsG) model. We investigate the dynamics
of the perturbed Double-sine-Gordon (DsG) system as a significant and more
practical case of such configurations. The thin barrier acts as a potential
well (potential barrier) and causes critical deformations in kink train
solutions and some basic properties of the periodic solutions, such as the type
of sub-kinks, their amplitude, energy and wavelength. Stability of the initial
kink chain during the interaction with medium defects is analyzed using their
phase diagram. Sudden changes in the profile of kink trains due to the
disruption of their amplitude and wavelength are considered. The time evolution
of moving kink chain solutions while interacting with medium fractures is also
studied.Comment: 12 pages, 12 figure
Families of stable and metastable solitons in coupled system of scalar fields
In this paper, we obtain stable and metastable soliton solutions of a coupled
system of two real scalar fields with five five discrete points of vacua. These
solutions have definite topological charges and rest energies and show
classical dynamical stability. From a quantum point of view, however, the
V-type solutions are expected to be unstable and decay to D-type solutions. The
induced decay of a V-type soliton into two D-type ones is calculated
numerically, and shown to be chiral, in the sense that the decay products do
not respect left-right symmetry.Comment: 9 pages and 5 figure
Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation
The periodic and step-like solutions of the double-Sine-Gordon equation are
investigated, with different initial conditions and for various values of the
potential parameter . We plot energy and force diagrams, as functions
of the inter-soliton distance for such solutions. This allows us to consider
our system as an interacting many-body system in 1+1 dimension. We therefore
plot state diagrams (pressure vs. average density) for step-like as well as
periodic solutions. Step-like solutions are shown to behave similarly to their
counterparts in the Sine-Gordon system. However, periodic solutions show a
fundamentally different behavior as the parameter is increased. We
show that two distinct phases of periodic solutions exist which exhibit
manifestly different behavior. Response functions for these phases are shown to
behave differently, joining at an apparent phase transition point.Comment: 17pages, 15 figure
Novel thick brane solutions with
In this work, using two scalar fields (, ) coupled to 4 + 1 dimensional gravity, we construct novel topological brane solutions through an explicit U(1) symmetry breaking term. The potential of this model is constructed so that two distinct degenerate vacua in the field exist, in analogy to the potential. Therefore, brane solutions appear due to the vacuum structure of the field. However, the topology and vacuum structure in the direction depends on the symmetry breaking parameter , which leads to different types of branes. As a result, one can interpret the present model as a combination of a brane with an auxiliary field, which leads to deviations from the system with the brane achieving a richer internal structure. Furthermore, we analyse in detail the behaviour of the superpotentials, the warp factors, the Ricci and Kretschmann scalars and the Einstein tensor components. In addition to this, we explore the stability of the brane in terms of the free parameters of the model. The analysis presented here complements previous work and is sufficiently novel to be interesting
Soliton models for thick branes
In this work, we present new soliton solutions for thick branes in dimensions. In particular, we consider brane models based on the sine-Gordon (SG), and scalar fields, which have broken symmetry in some cases and are responsible for supporting and stabilizing the thick branes. The origin of the symmetry breaking in these models resides in the fact that the modified scalar field potential may have non-degenerate vacua. These vacua determine the cosmological constant on both sides of the brane. We also study the geodesic equations along the fifth dimension, in order to explore the particle motion in the neighborhood of the brane. Furthermore, we examine the stability of the thick branes, by determining the sign of the term in the expansion of the potential for the resulting Schrödinger-like equation, where w is the five-dimensional coordinate. It turns out that the brane is stable, while there are unstable modes for certain ranges of the model parameters in the SG and branes