1,829 research outputs found
A Light Sterile Neutrino from Friedberg-Lee Symmetry
Light sterile neutrinos of mass about an eV with mixing of a
few percent to active neutrinos may solve some anomalies shown in experimental
data related to neutrino oscillation. How to have light sterile neutrinos is
one of the theoretical problems which have attracted a lot of attentions. In
this article we show that such an eV scale light sterile neutrino candidate can
be obtained in a seesaw model in which the right-handed neutrinos satisfy a
softly-broken Friedberg-Lee (FL) symmetry. In this model a right-handed
neutrino is guaranteed by the FL symmetry to be light comparing with other two
heavy right-handed neutrinos. It can be of eV scale when the FL symmetry is
softly broken and can play the role of eV scale sterile neutrino needed for
explaining the anomalies of experimental data. This model predicts that one of
the active neutrino is massless. We find that this model prefers inverted
hierarchy mass pattern of active neutrinos than normal hierarchy. An
interesting consequence of this model is that realizing relatively large
and relatively small in this model
naturally leads to a relatively small . This interesting
prediction can be tested in future atmospheric or solar neutrino experiments.Comment: 14 pages, references added, version for publication in PL
Variational equalities of entropy in nonuniformly hyperbolic systems
In this paper we prove that for an ergodic hyperbolic measure of a
diffeomorphism on a Riemannian manifold , there is an
-full measured set such that for every invariant
probability , the metric
entropy of is equal to the topological entropy of saturated set
consisting of generic points of :
Moreover, for every nonempty, compact and connected subset of
with the same hyperbolic rate, we
compute the topological entropy of saturated set of by the following
equality:
In particular these results can be applied (i) to the nonuniformy hyperbolic
diffeomorphisms described by Katok, (ii) to the robustly transitive partially
hyperbolic diffeomorphisms described by ~Ma{\~{n}}{\'{e}}, (iii) to the
robustly transitive non-partially hyperbolic diffeomorphisms described by
Bonatti-Viana. In all these cases
contains an open subset of .Comment: Transactions of the American Mathematical Society, to appear,see
http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2016-06780-X
Anomaly inflow mechanism using Wilson line
It is shown that the anomaly inflow mechanism can be implemented using Wilson
line in odd dimensional gauge theories. An action of Wess-Zumino-Witten (WZW)
type can be constructed using Wilson line. The action is understood in the odd
dimensional bulk space-time rather than in the even dimensional boundary. This
action is not gauge invariant. It gives anomalous gauge variations of the
consistent form on boundary space-times. So it can be used to cancel the
quantum anomalies localized on boundary space-times. This offers a new way to
cancel the gauge anomaly and construct anomaly-free gauge theory in odd
dimensional space-time.Comment: 4 pages, 1 figure; title changed; text and figure improved;
references adde
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