1,863 research outputs found
Strong CP Violation in External Magnetic Fields
We study the response of the QCD vacuum to an external magnetic field, in the
presence of strong CP violation. Using chiral perturbation theory and large N_c
expansion, we show that the external field would polarize quantum fluctuations
and induce an electric dipole moment of the vacuum, along the direction of the
magnetic field. We estimate the magnitude of this effect in different physical
scenarios. In particular, we find that the polarization induced by the magnetic
field of a magnetar could accelerate electric charges up to energies of the
order \theta 10^3 TeV. We also suggest a connection with the possible existence
of "hot-spots" on the surface of neutron stars.Comment: 4 pages, 1 figure. Major revision. Phenomenological analysis extende
Remarkable symmetries in the Milky Way disk's magnetic field
Using a new, expanded compilation of extragalactic source Faraday rotation
measures (RM) we investigate the broad underlying magnetic structure of the
Galactic disk at latitudes over all longitudes ,
where our total number of RM's in this low-latitude range of the Galactic sky
is comparable to those in the combined Canadian Galactic Plane Survey(CGPS) at
and the Southern Galactic Plane (SGPS)
survey. We report newly revealed, remarkably coherent patterns of RM at
from to and RM()
features of unprecedented clarity that replicate in with opposite sign on
opposite sides of the Galactic center. They confirm a highly patterned
bisymmetric field structure toward the inner disc, an axisymmetic pattern
toward the outer disc, and a very close coupling between the CGPS/SGPS RM's at
("mid-plane") and our new RM's up to ("near-plane").
Our analysis also shows the approximate -height -- the vertical height of
the coherent component of the disc field above the Galactic disc's mid-plane --
to be kpc out to kpc from the Sun. This identifies the
approximate height of the transition layer to the halo field structure. We find
no RM sign change across the plane within in any
longitude range. The prevailing {\it disc} field pattern, and its striking
degree of large scale ordering confirm that our side of the Milky Way has a
very organized underlying magnetic structure, for which the inward spiral pitch
angle is at all up to in
the inner semicircle of Galactic longitudes. It decreases to
toward the anticentre.Comment: 7 pages, 5 figures, Version 3. Accepted 2011 for publication in
Publications of the Astronomical Society of Australia(PASA
The relativistic massless harmonic oscillator
A detailed study of the relativistic classical and quantum mechanics of the
massless harmonic oscillator is presented.Comment: 15 pages, 4 figure
An O(M(n) log n) algorithm for the Jacobi symbol
The best known algorithm to compute the Jacobi symbol of two n-bit integers
runs in time O(M(n) log n), using Sch\"onhage's fast continued fraction
algorithm combined with an identity due to Gauss. We give a different O(M(n)
log n) algorithm based on the binary recursive gcd algorithm of Stehl\'e and
Zimmermann. Our implementation - which to our knowledge is the first to run in
time O(M(n) log n) - is faster than GMP's quadratic implementation for inputs
larger than about 10000 decimal digits.Comment: Submitted to ANTS IX (Nancy, July 2010
One-Dimensional Directed Sandpile Models and the Area under a Brownian Curve
We derive the steady state properties of a general directed ``sandpile''
model in one dimension. Using a central limit theorem for dependent random
variables we find the precise conditions for the model to belong to the
universality class of the Totally Asymmetric Oslo model, thereby identifying a
large universality class of directed sandpiles. We map the avalanche size to
the area under a Brownian curve with an absorbing boundary at the origin,
motivating us to solve this Brownian curve problem. Thus, we are able to
determine the moment generating function for the avalanche-size probability in
this universality class, explicitly calculating amplitudes of the leading order
terms.Comment: 24 pages, 5 figure
Point-like gamma ray sources as signatures of distant accelerators of ultra high energy cosmic rays
We discuss the possibility of observing distant accelerators of ultra high
energy cosmic rays in synchrotron gamma rays. Protons propagating away from
their acceleration sites produce extremely energetic electrons during
photo-pion interactions with cosmic microwave background photons. If the
accelerator is embedded in a magnetized region, these electrons will emit high
energy synchrotron radiation. The resulting synchrotron source is expected to
be point-like and detectable in the GeV-TeV energy range if the magnetic field
is at the nanoGauss level.Comment: 4 pages 2 figures. To be published in PR
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