2,121 research outputs found
Chiral Perturbation Theory
The basic ideas and power counting rules of chiral perturbation theory are
discussed. The formalism of velocity dependent fields for baryons, and for
hadrons containing a heavy quark, is explained. (Invited Talk, 1993 QCD
Rencontres de Moriond)Comment: (uses harvmac, 9 pages, 1 figure), UCSD/PTH 93-1
Deep inelastic scattering as x -> 1 using soft-collinear effective theory
Soft-collinear effective theory (SCET) is used to sum Sudakov
double-logarithms in the x ->1 endpoint region for the deep inelastic
scattering structure function. The calculations are done in both the target
rest frame and the Breit frame. The separation of scales in the effective
theory implies that the anomalous dimension of the SCET current is linear in ln
mu, and the anomalous dimension for the Nth moment of the structure function is
linear in ln N, to all orders in perturbation theory. The SCET formulation is
shown to be free of Landau pole singularities. Some important differences
between the deep inelastic structure function and the shape function in B decay
are discussed.Comment: 19 pages, minor typos fixed, and a comment added on the longitudinal
structure functio
Importance of Global Co-innovation Networks: A TCS Case Study
Today all kinds of innovations and research work is done by partnerships of competent entities each having some specialized skills. Like the development of the global economy, global innovation partnerships have grown considerably and form the basis of most of the sophisticated innovations today. To further streamline and simplify such cooperation, several innovation networks have been formed, both at local and global levels. This paper discusses the different types of innovations and how cooperation can benefit innovation in terms of pooling of resources and sharing of risks. One example of an open global co-innovation network promoted by Tata Consultancy Services, the TCS COIN is taken as a case. It enables venture capitalists, consultants, research agencies, companies and universities form nodes of the network so that each entity can play a meaningful role in the innovation network. Further, two innovation projects implemented using the COIN are discussed. Innovation Networks like these could form the basis of a unique global innovation network, which is not owned by any company and is used by innovation partners globally to collaborate and conduct research and development.innovation partnerships; co-innovation network
-Frequent hypercyclicity in spaces of operators
We provide conditions for a linear map of the form to be
-frequently hypercyclic on algebras of operators on separable Banach spaces.
In particular, if is a bounded operator satisfying the -Frequent
Hypercyclicity Criterion, then the map = is shown to be
-frequently hypercyclic on the space of all compact
operators and the real topological vector space of all
self-adjoint operators on a separable Hilbert space . Further we provide a
condition for to be -frequently hypercyclic on the Schatten von
Neumann classes . We also characterize frequent hypercyclicity of
on the trace-class of the Hardy space, where the
symbol denotes the multiplication operator associated to .Comment: The previous version has been changed considerably with many
corrections rectifie
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