86 research outputs found
Analogies between self-duality and stealth matter source
We consider the problem of a self-interacting scalar field nonminimally
coupled to the three-dimensional BTZ metric such that its energy-momentum
tensor evaluated on the BTZ metric vanishes. We prove that this system is
equivalent to a self-dual system composed by a set of two first-order
equations. The self-dual point is achieved by fixing one of the coupling
constant of the potential in terms of the nonminimal coupling parameter. At the
self-dual point and up to some boundary terms, the matter action evaluated on
the BTZ metric is bounded below and above. These two bounds are saturated
simultaneously yielding to a vanishing action for configurations satisfying the
set of self-dual first-order equations.Comment: 6 pages. To be published in Jour. Phys.
Exotic galilean symmetry and the Hall effect
The ``Laughlin'' picture of the Fractional Quantum Hall effect can be derived
using the ``exotic'' model based on the two-fold centrally-extended planar
Galilei group. When coupled to a planar magnetic field of critical strength
determined by the extension parameters, the system becomes singular, and
``Faddeev-Jackiw'' reduction yields the ``Chern-Simons'' mechanics of Dunne,
Jackiw, and Trugenberger. The reduced system moves according to the Hall law.Comment: Talk given by P. A. Horvathy at the Joint APCTP- Nankai Symposium.
Tianjin (China), Oct.2001. To appear in the Proceedings, to be published by
Int. Journ. Mod. Phys. B. 7 pages, LaTex, IJMPB format. no figure
Non-Abelian Chern-Simons Particles and their Quantization
A many--body Schr\"odinger equation for non--Abelian Chern--Simons particles
is obtained from both point--particle and field--theoretic pictures. We present
a particle Lagrangian and a field theoretic Lagrange density, and discuss their
properties. Both are quantized by the symplectic method of Hamiltonian
reduction. An --body Schr\"odinger equation for the particles is obtained
from both starting points. It is shown that the resulting interaction between
particles can be replaced by non--trivial boundary conditions. Also, the
equation is compared with the one given in the literature.Comment: 18 pages, MIT preprint CTP # 227
B\"acklund transformation for non-relativistic Chern-Simons vortices
A B\"acklund transformation yielding the static non-relativistic Chern-Simons
vortices of Jackiw and Pi is presented.Comment: 7 pages plain Te
Extended de Sitter Theory of Two Dimensional Gravitational Forces
We present a simple unifying gauge theoretical formulation of gravitational
theories in two dimensional spacetime. This formulation includes the effects of
a novel matter-gravity coupling which leads to an extended de Sitter symmetry
algebra on which the gauge theory is based. Contractions of this theory
encompass previously studied cases.Comment: 19pp, no figs., CTP 2228, UCONN-93-
Couplings between Chern-Simons gravities and 2p-branes
The interaction between Chern-Simons (CS) theories and localized external
sources (2p-branes) is analyzed. This interaction generalizes the minimal
coupling between a point charge (0-brane) and a gauge connection. The external
currents that define the 2p-branes are covariantly constant (D-2p-1)-forms
coupled to (2p-1) CS forms. The general expression for the sources --charged
with respect to the corresponding gauge algebra-- is presented, focusing on two
special cases: 0-branes and (D-3)-branes.
In any dimension, 0-branes are constructed as topological defects produced by
a surface deficit of (D-2)-sphere in AdS space, and they are not constant
curvature spaces for D>3. They correspond to dimensionally continued black
holes with negative mass.
On the other hand, in the case of CS (super) gravities, the (D-3)-branes are
naked conical singularities (topological defects) obtained by identification of
points with a Killing vector. In 2+1 dimensions, extremal spinning branes of
this type are BPS states. Stable (D-3)-branes are shown to exist also in higher
dimensions, as well.
Classical field equations are also discussed and in the presence of sources
there is a large number of inequivalent and disconnected sectors in solution
space.Comment: 29 pages, no figures; version accepted in PRD; extended introduction
and several references added; some sections have been reorganized and several
minor corrections mad
Calorons in Weyl Gauge
We demonstrate by explicit construction that while the untwisted
Harrington-Shepard caloron is manifestly periodic in Euclidean time,
with period , when transformed to the Weyl () gauge,
the caloron gauge field is periodic only up to a large gauge
transformation, with winding number equal to the caloron's topological charge.
This helps clarify the tunneling interpretation of these solutions, and their
relation to Chern-Simons numbers and winding numbers.Comment: 10 pages, 10 figures, a sign typo in equation 27 is correcte
Symmetry Breaking in the Schr\"odinger Representation for Chern-Simons Theories
This paper discusses the phenomenon of spontaneous symmetry breaking in the
Schr\"odinger representation formulation of quantum field theory. The analysis
is presented for three-dimensional space-time abelian gauge theories with
either Maxwell, Maxwell-Chern-Simons, or pure Chern-Simons terms as the gauge
field contribution to the action, each of which leads to a different form of
mass generation for the gauge fields.Comment: 16pp, LaTeX , UCONN-94-
Self-DUal SU(3) Chern-Simons Higgs Systems
We explore self-dual Chern-Simons Higgs systems with the local and
global symmetries where the matter field lies in the adjoint
representation. We show that there are three degenerate vacua of different
symmetries and study the unbroken symmetry and particle spectrum in each
vacuum. We classify the self-dual configurations into three types and study
their properties.Comment: Columbia Preprint CU-TP-635, 19 page
Casimir Effects in Renormalizable Quantum Field Theories
We review the framework we and our collaborators have developed for the study
of one-loop quantum corrections to extended field configurations in
renormalizable quantum field theories. We work in the continuum, transforming
the standard Casimir sum over modes into a sum over bound states and an
integral over scattering states weighted by the density of states. We express
the density of states in terms of phase shifts, allowing us to extract
divergences by identifying Born approximations to the phase shifts with low
order Feynman diagrams. Once isolated in Feynman diagrams, the divergences are
canceled against standard counterterms. Thus regulated, the Casimir sum is
highly convergent and amenable to numerical computation. Our methods have
numerous applications to the theory of solitons, membranes, and quantum field
theories in strong external fields or subject to boundary conditions.Comment: 27 pp., 11 EPS figures, LaTeX using ijmpa1.sty; email correspondence
to R.L. Jaffe ; based on talks presented by the authors at
the 5th workshop `QFTEX', Leipzig, September 200
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