4,028 research outputs found
Three flavor neutrino oscillations in matter
We derive analytic expressions for three flavor neutrino oscillations in the
presence of matter in the plane wave approximation using the Cayley-Hamilton
formalism. Especially, we calculate the time evolution operator in both flavor
and mass bases. Furthermore, we find the transition probabilities, matter mass
squared differences, and matter mixing angles all expressed in terms of the
vacuum mass squared differences, the vacuum mixing angles, and the matter
density. The conditions for resonance in the presence of matter are also
studied in some examples.Comment: 25 pages, 6 figures (PostScript), RevTe
Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
This paper studies giant magnons in AdS_4 x CP^3 using both the string
sigma-model and the algebraic curve. We complete the dictionary of solutions by
finding the dyonic generalisation of the CP^1 string solution, which matches
the `small' giant magnon in the algebraic curve, and by pointing out that the
solution recently constructed by the dressing method is the `big' giant magnon.
We then use the curve to compute finite-J corrections to all cases, which for
the non-dyonic cases always match the AFZ result. For the dyonic RP^3 magnon we
recover the S^5 answer, but for the `small' and `big' giant magnons we obtain
new corrections.Comment: 22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and
minor clarification
Approximative two-flavor framework for neutrino oscillations with nonstandard interactions
In this paper, we develop approximative two-flavor neutrino oscillation
formulas including subleading nonstandard interaction effects. Especially, the
limit when the small mass-squared difference approaches zero is investigated.
The approximate formulas are also tested against numerical simulations in order
to determine their accuracy and they will probably be most useful in the GeV
energy region, which is the energy region where most upcoming neutrino
oscillation experiments will be operating. Naturally, it is important to have
analytical formulas in order to interpret the physics behind the degeneracies
between standard and nonstandard parameters.Comment: 21 pages, 7 figures, REVTeX4. Final version published in Phys. Rev.
Initial experiments concerning quantum information processing in rare-earth-ion doped crystals
In this paper initial experiments towards constructing simple quantum gates
in a solid state material are presented. Instead of using specially tailored
materials, the aim is to select a subset of randomly distributed ions in the
material, which have the interaction necessary to control each other and
therefore can be used to do quantum logic operations. The experimental results
demonstrate that part of an inhomogeneously broadened absorption line can be
selected as a qubit and that a subset of ions in the material can control the
resonance frequency of other ions. This opens the way for the construction of
quantum gates in rare-earth-ion doped crystals.Comment: 24 pages, including 12 figure
Finite energy shifts in SU(n) supersymmetric Yang-Mills theory on T^3xR at weak coupling
We consider a semi-classical treatment, in the regime of weak gauge coupling,
of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with
SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we
consider the theories obtained as power series expansions around a certain
class of normalizable vacua of the classical theory, corresponding to isolated
points in the moduli space of flat connections, and the perturbative
corrections to the free energy eigenstates and eigenvalues in the weakly
interacting theory. The perturbation theory construction of the interacting
Hilbert space is complicated by the divergence of the norm of the interacting
states. Consequently, the free and interacting Hilbert furnish unitarily
inequivalent representation of the algebra of creation and annihilation
operators of the quantum theory. We discuss a consistent redefinition of the
Hilbert space norm to obtain the interacting Hilbert space and the properties
of the interacting representation. In particular, we consider the lowest
non-vanishing corrections to the free energy spectrum and discuss the crucial
importance of supersymmetry for these corrections to be finite.Comment: 31 pages, 1 figure, v4 Minor changes, references correcte
Renormalization group running of neutrino parameters in the inverse seesaw model
We perform a detailed study of the renormalization group equations in the
inverse seesaw model. Especially, we derive compact analytical formulas for the
running of the neutrino parameters in the standard model and the minimal
supersymmetric standard model, and illustrate that, due to large Yukawa
coupling corrections, significant running effects on the leptonic mixing angles
can be naturally obtained in the proximity of the electroweak scale, perhaps
even within the reach of the LHC. In general, if the mass spectrum of the light
neutrinos is nearly degenerate, the running effects are enhanced to
experimentally accessible levels, well suitable for the investigation of the
underlying dynamics behind the neutrino mass generation and the lepton flavor
structure. In addition, the effects of the seesaw thresholds are discussed, and
a brief comparison to other seesaw models is carried out.Comment: 30 pages, 7 figures. Final version published in Phys. Rev. D. v3:
Typo in Eq. (33) correcte
Matter Enhanced Neutrino Oscillations with a Realistic Earth Density Profile
We have investigated matter enhanced neutrino oscillations with a
mantle-core-mantle step function and a realistic Earth matter density profile
in both a two and a three neutrino scenario. We found that the realistic Earth
matter density profile can be well approximated with the mantle-core-mantle
step function and that there could be an influence on the oscillation channel
due to resonant enhancement of one of the mixing angles.Comment: 8 pages, 5 figures (PostScript), MPLA LaTe
The effects of matter density uncertainties on neutrino oscillations in the Earth
We compare three different methods to evaluate uncertainties in the Earth's
matter density profile, which are relevant to long baseline experiments, such
as neutrino factories.Comment: 3 pages, 1 figure. Talk given at the NuFact'02 Workshop, London, 1-6
July, 200
Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
Using N=2 superspace techniques we compute the four-loop spectrum of single
trace operators in the SU(2) x SU(2) sector of ABJM and ABJ supersymmetric
Chern-Simons theories. Our computation yields a four-loop contribution to the
function h^2(\lambda) (and its ABJ generalization) in the magnon dispersion
relation which has fixed maximum transcendentality and coincides with the
findings in components given in the revised versions of arXiv:0908.2463 and
arXiv:0912.3460. We also discuss possible scenarios for an all-loop function
h^2(\lambda) that interpolates between weak and strong couplings.Comment: LaTeX, feynmp, 34 pages; v2: typos corrected, formulations improved,
references adde
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