3,581 research outputs found
Inverse scattering and solitons in affine Toda field theories II
New single soliton solutions to the affine Toda field theories are
constructed, exhibiting previously unobserved topological charges. This goes
some of the way in filling the weights of the fundamental representations, but
nevertheless holes in the representations remain. We use the group doublecross
product form of the inverse scattering method, and restrict ourselves to the
rank one solutions.Comment: 19 pages, latex, 12 fig
Inverse scattering and solitons in affine Toda field theories
We implement the inverse scattering method in the case of the affine
Toda field theories, by studying the space-time evolution of simple poles in
the underlying loop group. We find the known single soliton solutions, as well
as additional solutions with non-linear modes of oscillation around the
standard solution, by studying the particularly simple case where the residue
at the pole is a rank one projection. We show that these solutions with extra
modes have the same mass and topological charges as the standard solutions, so
we do not shed any light on the missing topological charge problem in these
models. We also show that the integrated energy-momentum density can be
calculated from the central extension of the loop group.Comment: 28 pages, Latex, 4 figs include
Effects of a fundamental mass term in two-dimensional super Yang-Mills theory
We show that adding a vacuum expectation value to a gauge field left over
from a dimensional reduction of three-dimensional pure supersymmetric
Yang-Mills theory generates mass terms for the fundamental fields in the
two-dimensional theory while supersymmetry stays intact. This is similar to the
adjoint mass term that is generated by a Chern-Simons term in this theory. We
study the spectrum of the two-dimensional theory as a function of the vacuum
expectation value and of the Chern-Simons coupling. Apart from some symmetry
issues a straightforward picture arises. We show that at least one massless
state exists if the Chern-Simons coupling vanishes. The numerical spectrum
separates into (almost) massless and very heavy states as the Chern-Simons
coupling grows. We present evidence that the gap survives the continuum limit.
We display structure functions and other properties of some of the bound
states.Comment: 17 pp., 10 figs; substantially revised version to be published in
Phys. Rev.
A Note on Visualizing Response Transformations in Regression
A new graphical method for assessing parametric transformations of the response in linear regression is given. Simply regress the response variable Y on the predictors and find the fitted values. Then dynamically plot the transformed response Y(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can also be used to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well
Dual Projection and Selfduality in Three Dimensions
We discuss the notion of duality and selfduality in the context of the dual
projection operation that creates an internal space of potentials. Contrary to
the prevailing algebraic or group theoretical methods, this technique is
applicable to both even and odd dimensions. The role of parity in the kernel of
the Gauss law to determine the dimensional dependence is clarified. We derive
the appropriate invariant actions, discuss the symmetry groups and their proper
generators. In particular, the novel concept of duality symmetry and
selfduality in Maxwell theory in (2+1) dimensions is analysed in details. The
corresponding action is a 3D version of the familiar duality symmetric
electromagnetic theory in 4D. Finally, the duality symmetric actions in the
different dimensions constructed here manifest both the SO(2) and
symmetries, contrary to conventional results.Comment: 20 pages, late
Response to tilted magnetic fields in Bi2Sr2CaCu2O8 with columnar defects: Evidence for transverse Meissner effect
The transverse Meissner effect (TME) in the highly layered superconductor
Bi2Sr2CaCu2O(8+y) with columnar defects is investigated by transport
measurements. We present detailed evidence for the persistence of the
Bose-glass phase when H is tilted at an angle theta < theta_c (T) away from the
column direction: (i) the variable-range vortex hopping process for low
currents crosses over to the half-loops regime for high currents; (ii) in both
regimes near theta_c(T) the energy barriers vanish linearly with tan(theta) ;
(iii) the transition temperature is governed by T_{BG}(0) -T_{BG}(theta) sim
|tan(theta)|^{1/\nu_{\perp}} with \nu_{\perp}=1.0 +/- 0.1. Furthermore, above
the transition as theta->\theta_c+, moving kink chains consistent with a
commensurate-incommensurate transition scenario are observed. These results
thereby clearly show the existence of the TME for theta < theta_c(T).Comment: 4 pages, RevTeX, 5 EPS figure
Effect of field tilting on the vortices in irradiated Bi-2212
We report on transport measurements in a Bi-2212 single crystal with columnar
defects parallel to the c-axis. The tilt of the magnetic field away from the
direction of the tracks is studied for filling factors f=B_z/B_phi<1. Near the
Bose Glass transition temperature T_BG, the angular scaling laws are verified
and we find the field independent critical exponents nu'=1.1 and z'=5.30.
Finally, above H_perpC we evidence the signature of a smectic-A like vortex
phase. These experimental results provide support for the Bose Glass theory.Comment: 2 pages LaTeX, 2 EPS figures, uses fleqn and espcrc2 style macros.
Submitted to Proceedings of M2S-HTSC-V
‘In shape and mind transformed’? Televised teaching and learning Shakespeare
Reality television offers the BBC the opportunity to fulfil its dual imperatives of education and entertainment, frequently constructed as anathematic. This article considers three recent examples of televised teaching and learning Shakespeare: When Romeo Met Juliet, Macbeth, the movie star and me, and Off By Heart: Shakespeare. It demonstrates the programmes’ fit with the reality genre through their common ingredients of authenticity, contained locations, hybridity, experts, fallible and flawed participants, articulation and reconciliation of social difference. Moreover, all three share an emphasis on a reality television staple: transformation, in terms of the participants’ knowledge, skills and personal growth, but also in relation to television audiences and the British education system. The programmes might thus usefully be understood as part of a reality television subgenre, evolving in Britain since the late 1970s, of Shmake-over. This article is published as part of a collection to commemorate the 400th anniversary of William Shakespeare’s death
Poincar\'e recurrence theorem and the strong CP-problem
The existence in the physical QCD vacuum of nonzero gluon condensates, such
as , requires dominance of gluon fields with finite mean action
density. This naturally allows any real number value for the unit ``topological
charge'' characterising the fields approximating the gluon configurations
which should dominate the QCD partition function. If is an irrational
number then the critical values of the parameter for which CP is
spontaneously broken are dense in , which provides for a mechanism
of resolving the strong CP problem simultaneously with a correct implementation
of symmetry. We present an explicit realisation of this
mechanism within a QCD motivated domain model. Some model independent arguments
are given that suggest the relevance of this mechanism also to genuine QCD.Comment: 8 pages, RevTeX, 3 figures. Revised after referee suggestions. Now
includes model independent argument
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