455 research outputs found
One-loop kink mass shifts: a computational approach
In this paper we develop a procedure to compute the one-loop quantum
correction to the kink masses in generic (1+1)-dimensional one-component scalar
field theoretical models. The procedure uses the generalized zeta function
regularization method helped by the Gilkey-de Witt asymptotic expansion of the
heat function via Mellin's transform. We find a formula for the one-loop kink
mass shift that depends only on the part of the energy density with no field
derivatives, evaluated by means of a symbolic software algorithm that automates
the computation. The improved algorithm with respect to earlier work in this
subject has been tested in the sine-Gordon and models. The
quantum corrections of the sG-soliton and -kink masses have
been estimated with a relative error of 0.00006% and 0.00007% respectively.
Thereafter, the algorithm is applied to other models. In particular, an
interesting one-parametric family of double sine-Gordon models interpolating
between the ordinary sine-Gordon and a re-scaled sine-Gordon model is
addressed. Another one-parametric family, in this case of models, is
analyzed. The main virtue of our procedure is its versatility: it can be
applied to practically any type of relativistic scalar field models supporting
kinks.Comment: 35 pages, 6 figures, to be published in Nuclear Physics
Changing shapes: adiabatic dynamics of composite solitary waves
We discuss the solitary wave solutions of a particular two-component scalar
field model in two-dimensional Minkowski space. These solitary waves involve
one, two or four lumps of energy. The adiabatic motion of these composite
non-linear non-dispersive waves points to variations in shape.Comment: 21 pages, 15 figures. To appear in Physica D: Nonlinear Phenomen
On the semiclassical mass of -kinks
One-loop mass shifts to the classical masses of stable kinks arising in a
massive non-linear -sigma model are computed. Ultraviolet
divergences are controlled using the heat kernel/zeta function regularization
method. A comparison between the results achieved from exact and
high-temperature asymptotic heat traces is analyzed in depth.Comment: RevTex file, 15 pages, 2 figures. Version to appear in Journal of
Physics
Generalized MSTB Models: Structure and kink varieties
In this paper we describe the structure of a class of two-component scalar
field models in a (1+1) Minkowskian space-time which generalize the well-known
Montonen-Sarker-Trullinger-Bishop -hence MSTB- model. This class includes all
the field models whose static field equations are equivalent to the Newton
equations of two-dimensional type I Liouville mechanical systems with a
discrete set of instability points. We offer a systematic procedure to
characterize these models and to identify the solitary wave or kink solutions
as homoclinic or heteroclinic trajectories in the analogous mechanical system.
This procedure is applied to a one-parametric family of generalized MSTB models
with a degree-eight polynomial as potential energy density.Comment: 46 pages, 18 figures, corrected typo
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
The domain wall solutions of a Ginzburg-Landau non-linear -sigma hybrid
model are unveiled. There are three types of basic topological walls and two
types of degenerate families of composite - one topological, the other
non-topological- walls. The domain wall solutions are identified as the finite
action trajectories (in infinite time) of a related mechanical system that is
Hamilton-Jacobi separable in sphero-conical coordinates. The physical and
mathematical features of these domain walls are thoroughly discussed.Comment: 26 pages, 18 figure
New models for two real scalar fields and their kinklike solutions
In this work we study the presence of kinks in models described by two real
scalar fields in bi-dimensional space-time. We generate new two-field models,
constructed from distinct but important one-field models, and we solve them
with techniques that we introduce in the current work. We illustrate the
results with several examples of current interest to high energy physics.Comment: 8 pages, 6 figures; To appear in Adv. High Energy Phy
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