50,560 research outputs found
Multiple-reflection conical microwave antenna
Conical-Gregorian antenna concept, using conical reflector, promises excellent rf performance and offers potential advantages in areas of mechanical and structural design, surface measurement, and in furlability. Multiple reflection scheme between one or more subreflectors and main reflector is utilized. Subreflector can be reduced to as little as 0.1 the diameter of main reflector
Cohomology foundations of one-loop amplitudes in pure spinor superspace
We describe a pure spinor BRST cohomology framework to compactly represent
ten-dimensional one-loop amplitudes involving any number of massless open- and
closed-string states. The method of previous work to construct scalar and
vectorial BRST invariants in pure spinor superspace signals the appearance of
the hexagon gauge anomaly when applied to tensors. We study the systematics of
the underlying BRST anomaly by defining the notion of pseudo-cohomology. This
leads to a rich network of pseudo-invariant superfields of arbitrary tensor
rank whose behavior under traces and contractions with external momenta is
determined from cohomology manipulations. Separate papers will illustrate the
virtue of the superfields in this work to represent one-loop amplitudes of the
superstring and of ten-dimensional super-Yang--Mills theory.Comment: 94 pages, harvmac Te
Invariants for E_0-semigroups on II_1 factors
We introduce four new cocycle conjugacy invariants for E_0-semigroups on II_1
factors: a coupling index, a dimension for the gauge group, a super product
system and a C*-semiflow. Using noncommutative It\^o integrals we show that the
dimension of the gauge group can be computed from the structure of the additive
cocycles. We do this for the Clifford flows and even Clifford flows on the
hyperfinite II_1 factor, and for the free flows on the free group factor
. In all cases the index is 0, which implies they have trivial
gauge groups. We compute the super product systems for these families and,
using this, we show they have trivial coupling index. Finally, using the
C*-semiflow and the boundary representation of Powers and Alevras, we show that
the families of Clifford flows and even Clifford flows contain infinitely many
mutually non-cocycle-conjugate E_0-semigroups.Comment: 51 page
The origin of the spacetime metric: Bell's `Lorentzian pedagogy' and its significance in general relativity
The purpose of this paper is to evaluate the `Lorentzian pedagogy' defended
by J.S. Bell in his essay ``How to teach special relativity'', and to explore
its consistency with Einstein's thinking from 1905 to 1952. Some remarks are
also made in this context on Weyl's philosophy of relativity and his 1918 gauge
theory. Finally, it is argued that the Lorentzian pedagogy - which stresses the
important connection between kinematics and dynamics - clarifies the role of
rods and clocks in general relativity.Comment: To be published in ``Physics Meets Philosophy at the Planck Length'',
C. Callender and N. Huggett (eds.), Cambridge University Press (1999). 22
pages, no figures, LaTeX, uses harvard.sty; 3 references added, typos
corrected and minor changes to conten
Time damping of non-adiabatic magnetohydrodynamic waves in a partially ionized prominence plasma: Effect of helium
Prominences are partially ionized, magnetized plasmas embedded in the solar
corona. Damped oscillations and propagating waves are commonly observed. These
oscillations have been interpreted in terms of magnetohydrodynamic (MHD) waves.
Ion-neutral collisions and non-adiabatic effects (radiation losses and thermal
conduction) have been proposed as damping mechanisms. We study the effect of
the presence of helium on the time damping of non-adiabatic MHD waves in a
plasma composed by electrons, protons, neutral hydrogen, neutral helium (He I),
and singly ionized helium (He II) in the single-fluid approximation. The
dispersion relation of linear non-adiabatic MHD waves in a homogeneous,
unbounded, and partially ionized prominence medium is derived. The period and
the damping time of Alfven, slow, fast, and thermal waves are computed. A
parametric study of the ratio of the damping time to the period with respect to
the helium abundance is performed. The efficiency of ion-neutral collisions as
well as thermal conduction is increased by the presence of helium. However, if
realistic abundances of helium in prominences (~10%) are considered, this
effect has a minor influence on the wave damping. The presence of helium can be
safely neglected in studies of MHD waves in partially ionized prominence
plasmas.Comment: Research note submitted in A&
Multiparticle SYM equations of motion and pure spinor BRST blocks
In this paper a multiparticle generalization of linearized ten-dimensional
super Yang--Mills superfields is proposed. Their equations of motions are shown
to take the same form as in the single-particle case, supplemented by contact
terms. A recursive construction of these superfields is inspired by the
iterated OPEs among massless vertex operators in the pure spinor formalism. An
enlarged set of BRST-covariant pure spinor blocks is then defined in a
streamlined fashion and combined to multiparticle vertex operators. The latter
can be used to universally describe tree-level subdiagrams in the perturbative
open and closed superstring, regardless of the loop order. The inherent
symmetries of the multiparticle superfields are reproduced by structure
constants of the gauge group, hinting a natural appearance of the BCJ-duality
between color and kinematics in the fundamentals of super Yang--Mills theory.
We present one-loop applications where known scalar cohomology objects are
systematically recomputed and a novel vector cohomology particularly relevant
to the closed string is constructed for arbitrary multiplicity.Comment: 44 pp, 10 figures, harvmac, v2: published versio
A solution to the non-linear equations of D=10 super Yang-Mills theory
In this letter, we present a formal solution to the non-linear field
equations of ten-dimensional super Yang--Mills theory. It is assembled from
products of linearized superfields which have been introduced as multiparticle
superfields in the context of superstring perturbation theory. Their explicit
form follows recursively from the conformal field theory description of the
gluon multiplet in the pure spinor superstring. Furthermore, superfields of
higher mass dimensions are defined and their equations of motion spelled out.Comment: 6 pages, v2: published versio
Non-abelian -theory: Berends-Giele recursion for the -expansion of disk integrals
We present a recursive method to calculate the -expansion of disk
integrals arising in tree-level scattering of open strings which resembles the
approach of Berends and Giele to gluon amplitudes. Following an earlier
interpretation of disk integrals as doubly partial amplitudes of an effective
theory of scalars dubbed as -theory, we pinpoint the equation of motion of
-theory from the Berends-Giele recursion for its tree amplitudes. A computer
implementation of this method including explicit results for the recursion up
to order is made available on the website
http://repo.or.cz/BGap.gitComment: 58 pages, harvmac TeX, v2: cosmetic changes, published versio
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