13,828 research outputs found
Light-Cone Quantization of Electrodynamics
Light-cone quantization of (3+1)-dimensional electrodynamics is discussed,
using discretization as an infrared regulator and paying careful attention to
the interplay between gauge choice and boundary conditions. In the zero
longitudinal momentum sector of the theory a general gauge fixing is performed
and the corresponding relations that determine the constrained modes of the
gauge field are obtained. The constraints are solved perturbatively and the
structure of the theory is studied to lowest nontrivial order. (Talk presented
at ``Theory of Hadrons and Light-Front QCD,'' Polana Zgorzelisko, Poland,
August 1994.)Comment: 6 pages, LaTeX, OSU-NT-94-0
Physical Coupling Schemes and QCD Exclusive Processes
I discuss application of the BLM method to obtain commensurate scale
relations connecting QCD exclusive amplitudes to other observables, in
particular the heavy quark potential.Comment: 7 pages, Latex, uses l-school.sty. Talk given at "New Nonperturbative
Methods and Quantization on the Light Cone," Les Houches, France, 24 Feb.-7
March 1997. To appear in the proceeding
-algebras associated to -correspondences and applications to mirror quantum spheres
The structure of the -algebras corresponding to even-dimensional mirror
quantum spheres is investigated. It is shown that they are isomorphic to both
Cuntz-Pimsner algebras of certain -correspondences and -algebras of
certain labelled graphs. In order to achieve this, categories of labelled
graphs and -correspondences are studied. A functor from labelled graphs to
-correspondences is constructed, such that the corresponding associated
-algebras are isomorphic. Furthermore, it is shown that
-correspondences for the mirror quantum spheres arise via a general
construction of restricted direct sum.Comment: 27 page
Declarative Specification
Deriving formal specifications from informal requirements is extremely difficult since one has to overcome the conceptual gap between an application domain and the domain of formal specification methods. To reduce this gap we introduce application-specific specification languages, i.e., graphical and textual notations that can be unambiguously mapped to formal specifications in a logic language. We describe a number of realised approaches based on this idea, and evaluate them with respect to their domain specificity vs. generalit
Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs
In previous work, the authors showed that the C*-algebra C*(\Lambda) of a
row-finite higher-rank graph \Lambda with no sources is simple if and only if
\Lambda is both cofinal and aperiodic. In this paper, we generalise this result
to row-finite higher-rank graphs which are locally convex (but may contain
sources). Our main tool is Farthing's "removing sources" construction which
embeds a row-finite locally convex higher-rank graph in a row-finite
higher-rank graph with no sources in such a way that the associated C*-algebras
are Morita equivalent.Comment: 18 pages, 1 figure, figure drawn using Tikz/PGF. Version 2: the
hypothesis "with no sources" has been removed from Theorem 3.4; it appeared
there in error since the main point of the theorem is that it applies in the
absence of this hypothesis (cf Theorem 3.1 of arXiv:math/0602120
De Novo Assembly of Nucleotide Sequences in a Compressed Feature Space
Sequencing technologies allow for an in-depth analysis
of biological species but the size of the generated datasets
introduce a number of analytical challenges. Recently, we
demonstrated the application of numerical sequence representations
and data transformations for the alignment of short
reads to a reference genome. Here, we expand out approach
for de novo assembly of short reads. Our results demonstrate
that highly compressed data can encapsulate the signal suffi-
ciently to accurately assemble reads to big contigs or complete
genomes
Groupoid Fell bundles for product systems over quasi-lattice ordered groups
Consider a product system over the positive cone of a quasi-lattice ordered
group. We construct a Fell bundle over an associated groupoid so that the
cross-sectional algebra of the bundle is isomorphic to the Nica-Toeplitz
algebra of the product system. Under the additional hypothesis that the left
actions in the product system are implemented by injective homomorphisms, we
show that the cross-sectional algebra of the restriction of the bundle to a
natural boundary subgroupoid coincides with the Cuntz-Nica-Pimsner algebra of
the product system. We apply these results to improve on existing sufficient
conditions for nuclearity of the Nica-Toeplitz algebra and the
Cuntz-Nica-Pimsner algebra, and for the Cuntz-Nica-Pimsner algebra to coincide
with its co-universal quotient.Comment: 16 pages. Version 2: minor typos are corrected; and the references
and introduction update
Groupoid algebras as Cuntz-Pimsner algebras
We show that if is a second countable locally compact Hausdorff \'etale
groupoid carrying a suitable cocycle , then the reduced
-algebra of can be realised naturally as the Cuntz-Pimsner algebra of
a correspondence over the reduced -algebra of the kernel of . If
the full and reduced -algebras of coincide, we deduce that the full
and reduced -algebras of coincide. We obtain a six-term exact sequence
describing the -theory of in terms of that of .Comment: 5 pages. V2: James Fletcher discovered an error Lemma 9. No other
results are affected. In this version, statements (2) and (3), and the proof,
of Lemma 9 have been corrected. Remark 10 has been added to give details of
the error. An erratum will appear in Math Scand, referring to this version of
the arXiv posting for detail
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