279 research outputs found
Spin-Charge Separation and the Pauli Electron
The separation between the spin and the charge converts the quantum
mechanical Pauli Hamiltonian into the Hamiltonian of the non-Abelian
Georgi-Glashow model, notorious for its magnetic monopoles and confinement. The
independent spin and charge fluctuations both lead to the Faddeev model,
suggesting the existence of a deep duality structure and indicating that the
fundamental carriers of spin and charge are knotted solitons.Comment: 7 pages; v2: new results added, references update
On the Class of Possible Nonlocal Anyon-Like Operators and Quantum Groups
We find a class of nonlocal operators constructed by attaching a disorder
operator to fermionic degrees of freedom, which can be used to generate
q-deformed algebras following the Schwinger approach. This class includes the
recently proposed anyonic operators defined on a lattice.Comment: 10 pages (plain latex), HU-SEFT R 1993-9, to be published in Journal
of Physics A: Math. and General, Letters to the Edito
Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schr\"odinger model of FQHE: classical and quantum aspects
The soliton structure of a gauge theory recently proposed to describe chiral
excitations in the Fractional Quantum Hall Effect is investigated. A new type
of non-linear derivative Schr\"odinger equation emerges as an effective
description of the system that supports novel chiral solitons. We discuss the
classical properties of solutions with vanishing and non-vanishing boundary
conditions (dark solitons) and we explain their relation to integrable systems.
The quantum analysis is also addressed in the framework of a semiclassical
approximation improved by Renormalization Group arguments.Comment: 39 page, RevTeX, 6 figure
Generalized transformation optics from triple spacetime metamaterials
In this paper various extensions of the design strategy of transformation
media are proposed. We show that it is possible to assign different transformed
spaces to the field strength tensor (electric field and magnetic induction) and
to the excitation tensor (displacement field and magnetic field), resp. In this
way, several limitations of standard transformation media can be overcome. In
particular it is possible to provide a geometric interpretation of
non-reciprocal as well as indefinite materials. We show that these
transformations can be complemented by a continuous version of
electric-magnetic duality and comment on the relation to the complementary
approach of field-transforming metamaterials.Comment: 11 pages, 3 figures, v2: typos, new figures, REVTeX, v3: typos, new
example added, final versio
Evidence for Non-perturbative String Symmetries
String theory appears to admit a group of discrete field transformations --
called dualities -- as exact non-perturbative quantum symmetries.
Mathematically, they are rather analogous to the better-known duality
symmetries, which hold perturbatively. In this talk the evidence for
duality is reviewed and some speculations are presented.Comment: Error corrected and reference added; 10 pages, latex, no figures,
conference Repor
Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
The statistics of -oscillators, quons and to some extent, of anyons are
studied and the basic differences among these objects are pointed out. In
particular, the statistical distributions for different bosonic and fermionic
-oscillators are found for their corresponding Fock space representations in
the case when the hamiltonian is identified with the number operator. In this
case and for nonrelativistic particles, the single-particle temperature Green
function is defined with -deformed periodicity conditions. The equations of
state for nonrelativistic and ultrarelativistic bosonic -gases in an
arbitrary space dimension are found near Bose statistics, as well as the one
for an anyonic gas near Bose and Fermi statistics. The first corrections to the
second virial coefficients are also evaluated. The phenomenon of Bose-Einstein
condensation in the -deformed gases is also discussed.Comment: 21 pages, Latex, HU-TFT-93-2
Symmetry transform in the Faddeev-Jackiw quantization of dual models
We study the presence of symmetry transformations in the Faddeev-Jackiw
approach for constrained systems. Our analysis is based in the case of a
particle submitted to a particular potential which depends on an arbitrary
function. The method is implemented in a natural way and symmetry generators
are identified. These symmetries permit us to obtain the absent elements of the
sympletic matrix which complement the set of Dirac brackets of such a theory.
The study developed here is applied in two different dual models. First, we
discuss the case of a two-dimensional oscillator interacting with an
electromagnetic potential described by a Chern-Simons term and second the
Schwarz-Sen gauge theory, in order to obtain the complete set of non-null Dirac
brackets and the correspondent Maxwell electromagnetic theory limit.Comment: 22 pages, RevTex file, no figur
Scaling of Aharonov-Bohm couplings and the dynamical vacuum in gauge theories
Recent results on the vacuum polarization induced by a thin string of
magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti'
QCD vacuum as a possible mechanism for avoiding the divergence of perturbative
QED, thus permitting consistent completion of the full, nonperturbative theory.
The mechanism appears to operate for spinor, but not scalar, QED.Comment: 11 pages, ITP-SB-92-40, (major conceptual evolution from original
Reducing - duality to - duality
The infrared limit of Yang-Mills theory with compact gauge group
compactified on a two-torus is governed by an effective superconformal
field theory. We conjecture that this is a certain orbifold involving the
maximal torus of . Yang-Mills -duality makes predictions for all
correlators of this effective conformal field theory. These predictions are
shown to be implied by the standard -duality of the conformal field theory.
Consequently, Montonen-Olive duality between electric and magnetic states
reduces to the standard two-dimensional duality between momentum and winding
states.Comment: 13 pages, harvmac, no figures. (Some Comments added. Some references
added.
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