221 research outputs found
Gauged Lifshitz model with Chern-Simons term
We present a gauged Lifshitz Lagrangian including second and forth order
spatial derivatives of the scalar field and a Chern-Simons term, and study
non-trivial solutions of the classical equations of motion. While the
coefficient beta of the forth order term should be positive in order to
guarantee positivity of the energy, the coefficient alpha of the quadratic one
need not be. We investigate the parameter domains finding significant
differences in the field behaviors. Apart from the usual vortex field behavior
of the ordinary relativistic Chern-Simons-Higgs model, we find in certain
parameter domains oscillatory solutions reminiscent of the modulated phases of
Lifshitz systems.Comment: 13 pages, 6 figure
Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector
In this paper we study a dimensional system in which fermions are
coupled to the self-dual topological vortex in Chern-Simons
theory, where both gauge symmetries are spontaneously broken. We
consider two Abelian Higgs scalars with visible and hidden sectors coupled to a
fermionic field through three interaction Lagrangians, where one of them
violates the fermion number. Using a fine tuning procedure, we could obtain the
number of the fermionic zero modes which is equal to the absolute value of the
sum of the vortex numbers in the visible and hidden sectors.Comment: 10 page
Magnetic structures and Z_2 vortices in a non-Abelian gauge model
The magnetic order of the triangular lattice with antiferromagnetic
interactions is described by an SO(3) field and allows for the presence of Z2
magnetic vortices as defects. In this work we show how these Z2 vortices can be
fitted into a local SU(2) gauge theory. We propose simple Ansatzes for vortex
configurations and calculate their energies using well-known results of the
Abelian gauge model. We comment on how Dzyaloshinskii-Moriya interactions could
be derived from a non-Abelian gauge theory and speculate on their effect on non
trivial configurations
Vortex solutions in the noncommutative torus
Vortex configurations in the two-dimensional torus are considered in
noncommutative space. We analyze the BPS equations of the Abelian Higgs model.
Numerical solutions are constructed for the self-dual and anti-self dual cases
by extending an algorithm originally developed for ordinary commutative space.
We work within the Fock space approach to noncommutative theories and the
Moyal-Weyl connection is used in the final stage to express the solutions in
configuration space.Comment: 18 pages, 5 figure
Bogomolny equations for vortices in the noncommutative torus
We derive Bogomolny-type equations for the Abelian Higgs model defined on the
noncommutative torus and discuss its vortex like solutions. To this end, we
carefully analyze how periodic boundary conditions have to be handled in
noncommutative space and discussed how vortex solutions are constructed. We
also consider the extension to an model, a simplified
prototype of the noncommutative standard model.Comment: 23 pages, no figure
Non-Abelian Vortices on the Torus
We study periodic arrays of non-Abelian vortices in an
gauge theory with flavors of fundamental matter multiplets. We carefully
discuss the corresponding twisted boundary conditions on the torus and propose
an ansatz to solve the first order Bogomolnyi equations which we find by
looking to a bound of the energy. We solve the equations numerically and
construct explicit vortex solutions
A note on the existence of soliton solutions in the Chern-Simons-CP(1) model
We study a gauged Chern-Simons-CP(1) system. We show that contrary to
previous claims the model in the absences of a potential term cannot support
finite size soliton solution in .Comment: 12 pages, 5 figure
Higher loop renormalization of a supersymmetric field theory
Using Dyson--Schwinger equations within an approach developed by Broadhurst
and Kreimer and the renormalization group, we show how high loop order of the
renormalization group coefficients can be efficiently computed in a
supersymmetric model.Comment: 8 pages, 2 figure
Thermal transport in one-dimensional spin heterostructures
We study heat transport in a one-dimensional inhomogeneous quantum spin 1/2
system. It consists of a finite-size XX spin chain coupled at its ends to
semi-infinite XX and XY chains at different temperatures, which play the role
of heat and spin reservoirs. After using the Jordan-Wigner transformation we
map the original spin Hamiltonian into a fermionic Hamiltonian, which contains
normal and pairing terms. We find the expressions for the heat currents and
solve the problem with a non-equilibrium Green's function formalism. We analyze
the behavior of the heat currents as functions of the model parameters. When
finite magnetic fields are applied at the two reservoirs, the system exhibits
rectification effects in the heat flow.Comment: 10 pages, 5 figures, scheme of the system and comparison with
specific heat added. Accepted for publication in Phys. Rev.
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