59 research outputs found
Bosonization in d > 2 dimensions
I discuss in this talk a bosonization approach recently developed. It leads
to the (exact) bosonization rule for fermion currents in d > 2 dimensions and
also provides a systematic way of constructing the bosonic action in different
regimes.Comment: Talk given at "Trends in Theoretical Physics, CERN - Santiago de
Compostela - La Plata Meeting", La Plata, April 1997, 34 pages, late
Vortex solutions of an Abelian Higgs model with visible and hidden sectors
We study vortex solutions in a theory with dynamics governed by two weakly
coupled Abelian Higgs models, describing a hidden sector and a visible sector.
We analyze the radial dependence of the axially symmetric solutions constructed
numerically and discuss the stability of vortex configurations for different
values of the model parameters, studying in detail vortex decay into lower
energy configurations. We find that even in a weak coupling regime vortex
solutions strongly depend on the parameters of both the visible and hidden
sectors. We also discuss on qualitative grounds possible implications of the
existence of a hidden sector in connection with superconductivity.Comment: 22 pages, 10 figures, version accepted in JHE
Lifshitz holography with a probe Yang-Mills field
Taking as a probe an SU(2) gauge field with Yang-Mills action in a 3+1
dimensional Lifshitz black hole background, we use the gauge/gravity
correspondence to discuss finite temperature effects in the dual theory defined
on the boundary. In order to test the dependence of results on the anisotropic
scaling exponent z we consider two analytical black hole solutions with z=2 and
z=4. Apart from solving the equations of motion in the bulk using a numerical
approach, we also apply an analytical approximation allowing the determination
of the phase transition character, the critical exponent and the critical
temperature behavior as a function of z.Comment: 12 pages, 3 figure
A dimensional model with two gauge fields coupled via matter fields and BF interaction
We study a model in space-time dimensions with two sectors. One
of them, which can be considered as the visible sector, contains just a
gauge field which acts as a probe for the other (hidden) sector, given by a
second gauge field and massive scalar and Dirac fermions. Covariant
derivatives of these matter fields and a BF gauge mixing term couple the two
sectors. Integration over fermion fields leads to an effective theory with
Chern-Simons terms that support vortex like solutions in both sectors even if
originally there was no symmetry breaking Higgs scalar in the visible sector.
We study numerically the solutions which correspond to electrically charged
magnetic vortices except for a critical value of the BF coupling constant at
which solely purely magnetic vortices exist
Noncommutative solitons and instantons
I review in this talk different approaches to the construction of vortex and
instanton solutions in noncommutative field theories.Comment: 9 pages, 1 figure, Invited talk at the XXIV Encontro Nacional de
Fisica de Particulas e Campos, Caxambu, Sept.0
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
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
Non-Abelian Vortices with a Twist
Non-Abelian flux-tube (string) solutions carrying global currents are found
in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The
specific model considered here posseses U(2)local x SU(2)global symmetry, with
two scalar doublets in the fundamental representation of SU(2). We construct
string solutions that are stationary and translationally symmetric along the x3
direction, and they are characterized by a matrix phase between the two
doublets, referred to as "twist". Consequently, twisted strings have nonzero
(global) charge, momentum, and in some cases even angular momentum per unit
length. The planar cross section of a twisted string corresponds to a
rotationally symmetric, charged non-Abelian vortex, satisfying 1st order
Bogomolny-type equations and 2nd order Gauss-constraints. Interestingly,
depending on the nature of the matrix phase, some of these solutions even break
rotational symmetry in R3. Although twisted vortices have higher energy than
the untwisted ones, they are expected to be linearly stable since one can
maintain their charge (or twist) fixed with respect to small perturbations.Comment: 18 pages, 5 figure
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
Bosonization of fermions coupled to topologically massive gravity
We establish a duality between massive fermions coupled to topologically
massive gravity (TGM) in space-time dimensions and a purely gravity
theory which also will turn out to be a TGM theory but with different
parameters: the original graviton mass in the TGM theory coupled to fermions
picks-up a contribution from fermion bosonization. We obtain explicit
bosonization rules for the fermionic currents and for the
energy-momentum-tensor showing that the identifications do not depend
explicitly on the parameters of the theory. These results are the gravitational
analog of the results for Abelian and non-Abelian bosonization in flat
space-time.Comment: 8 page
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