32,499 research outputs found
Towards Noncommutative Linking Numbers Via the Seiberg-Witten Map
In the present work some geometric and topological implications of
noncommutative Wilson loops are explored via the Seiberg-Witten map. In the
abelian Chern-Simons theory on a three dimensional manifold, it is shown that
the effect of noncommutativity is the appearance of new knots at the
-th order of the Seiberg-Witten expansion. These knots are trivial homology
cycles which are Poincar\'e dual to the high-order Seiberg-Witten potentials.
Moreover the linking number of a standard 1-cycle with the Poincar\'e dual of
the gauge field is shown to be written as an expansion of the linking number of
this 1-cycle with the Poincar\'e dual of the Seiberg-Witten gauge fields. In
the process we explicitly compute the noncommutative 'Jones-Witten' invariants
up to first order in the noncommutative parameter. Finally in order to exhibit
a physical example, we apply these ideas explicitly to the Aharonov-Bohm
effect. It is explicitly displayed at first order in the noncommutative
parameter, we also show the relation to the noncommutative Landau levels.Comment: 19 pages, 1 figur
Flavour changing strong interaction effects on top quark physics at the LHC
We perform a model independent analysis of the flavour changing strong
interaction vertices relevant to the LHC. In particular, the contribution of
dimension six operators to single top production in various production
processes is discussed, together with possible hints for identifying signals
and setting bounds on physics beyond the standard model.Comment: Authors corrections (references added
The Casimir spectrum revisited
We examine the mathematical and physical significance of the spectral density
sigma(w) introduced by Ford in Phys. Rev. D38, 528 (1988), defining the
contribution of each frequency to the renormalised energy density of a quantum
field. Firstly, by considering a simple example, we argue that sigma(w) is well
defined, in the sense of being regulator independent, despite an apparently
regulator dependent definition. We then suggest that sigma(w) is a spectral
distribution, rather than a function, which only produces physically meaningful
results when integrated over a sufficiently large range of frequencies and with
a high energy smooth enough regulator. Moreover, sigma(w) is seen to be simply
the difference between the bare spectral density and the spectral density of
the reference background. This interpretation yields a simple `rule of thumb'
to writing down a (formal) expression for sigma(w) as shown in an explicit
example. Finally, by considering an example in which the sign of the Casimir
force varies, we show that the spectrum carries no manifest information about
this sign; it can only be inferred by integrating sigma(w).Comment: 10 pages, 4 figure
New family of potentials with analytical twiston-like solutions
In this letter we present a new approach to find analytical twiston models.
The effective two-field model was constructed by a non-trivial combination of
two one field systems. In such an approach we successfully build analytical
models which are satisfied by a combination of two defect-like solutions, where
one is responsible to twist the molecular chain by , while the other
implies in a longitudinal movement. Such a longitudinal movement can be fitted
to have the size of the distance between adjacent molecular groups. The
procedure works nicely and can be used to describe the dynamics of several
other molecular chains.Comment: 7 pages, 3 figure
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