7,804 research outputs found
Prospects of detecting massive isosinglet neutrino at LHC in the CMS detector
A possibility to search for a heavy isosinglet (sterile) neutrino using its
decay mode in the - channel production in the CMS experiment is studied. The only
assumption about the heavy neutrino is its nonzero mixing with or
. The corresponding CMS discovery potential expressed in terms of
the heavy neutrino mass and the mixing parameter between the heavy and light
neutrino is determined. It is shown that the heavy neutrino with a mass up to
800 could be detected in CMS. We also investigate the production of the
heavy neutrino mixed with and/or in the model through the reaction with the same heavy neutrino decay channel as
above. We find that for it is possible to discover the heavy
neutrino with a mass up to .Comment: 14 pages, 13 figure
Zeros of the Partition Function for Higher--Spin 2D Ising Models
We present calculations of the complex-temperature zeros of the partition
functions for 2D Ising models on the square lattice with spin , 3/2, and
2. These give insight into complex-temperature phase diagrams of these models
in the thermodynamic limit. Support is adduced for a conjecture that all
divergences of the magnetisation occur at endpoints of arcs of zeros protruding
into the FM phase. We conjecture that there are such arcs for , where denotes the integral part of .Comment: 8 pages, latex, 3 uuencoded figure
Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications
We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It
is done by showing that if the cone over a manifold admits a parallel symmetric
tensor then it is Riemannian. Applications of this result to the
existence of metrics with distinct Levi-Civita connections but having the same
unparametrized geodesics and to the projective Obata conjecture are given. We
also apply our result to show that the holonomy group of a closed
-manifold does not preserve any nondegenerate splitting of
.Comment: minor correction
Coherent description of the intrinsic and extrinsic anomalous Hall effect in disordered alloys on an level
A coherent description of the anomalous Hall effect (AHE) is presented that
is applicable to pure as well as disordered alloy systems by treating all
sources of the AHE on equal footing. This is achieved by an implementation of
the Kubo-St\v{r}eda equation using the fully relativistic
Korringa-Kohn-Rostoker (KKR) Green's function method in combination with the
Coherent Potential Approximation (CPA) alloy theory. Applications to the pure
elemental ferromagnets bcc-Fe and fcc-Ni led to results in full accordance with
previous work. For the alloy systems fcc-FePd and
fcc-NiPd very satisfying agreement with experiment could be
achieved for the anomalous Hall conductivity (AHC) over the whole range of
concentration. To interpret these results an extension of the definition for
the intrinsic AHC is suggested. Plotting the corresponding extrinsic AHC versus
the longitudinal conductivity a linear relation is found in the dilute regimes,
that allows a detailed discussion of the role of the skew and side-jump
scattering processes.Comment: * shortened manuscript * slight rewordings * changed line style in
Fig 1 * corrected misprinted S (skewness) factor * merged Fig. 3 with Fig. 1
* new citation introduce
The Yang Lee Edge Singularity on Feynman Diagrams
We investigate the Yang-Lee edge singularity on non-planar random graphs,
which we consider as the Feynman Diagrams of various d=0 field theories, in
order to determine the value of the edge exponent.
We consider the hard dimer model on phi3 and phi4 random graphs to test the
universality of the exponent with respect to coordination number, and the Ising
model in an external field to test its temperature independence. The results
here for generic (``thin'') random graphs provide an interesting counterpoint
to the discussion by Staudacher of these models on planar random graphs.Comment: LaTeX, 6 pages + 3 figure
Fixed parameter tractable algorithms in combinatorial topology
To enumerate 3-manifold triangulations with a given property, one typically
begins with a set of potential face pairing graphs (also known as dual
1-skeletons), and then attempts to flesh each graph out into full
triangulations using an exponential-time enumeration. However, asymptotically
most graphs do not result in any 3-manifold triangulation, which leads to
significant "wasted time" in topological enumeration algorithms. Here we give a
new algorithm to determine whether a given face pairing graph supports any
3-manifold triangulation, and show this to be fixed parameter tractable in the
treewidth of the graph.
We extend this result to a "meta-theorem" by defining a broad class of
properties of triangulations, each with a corresponding fixed parameter
tractable existence algorithm. We explicitly implement this algorithm in the
most generic setting, and we identify heuristics that in practice are seen to
mitigate the large constants that so often occur in parameterised complexity,
highlighting the practicality of our techniques.Comment: 16 pages, 9 figure
Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire
We consider a quantum wire with two subbands of spin-polarized electrons in
the presence of strong interactions. We focus on the quantum phase transition
when the second subband starts to get filled as a function of gate voltage.
Performing a one-loop renormalization group (RG) analysis of the effective
Hamiltonian, we identify the critical fixed-point theory as a conformal field
theory having an enhanced SU(2) symmetry and central charge 3/2. While the
fixed point is Lorentz invariant, the effective 'speed of light' nevertheless
vanishes at low energies due to marginally irrelevant operators leading to a
diverging critical specific heat coefficient.Comment: 4 pages, 3 figures, minor changes, published versio
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