1,641 research outputs found
Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile
We investigate the formation processes of a sandpile using numerical
simulation. We find a new relation between the fluctuation of the motion of the
top and the surface state of a sandpile. The top moves frequently as particles
are fed one by one every time interval T. The time series of the top location
has the power spectrum which obeys a power law, S(f)~f^{\alpha}, and its
exponent \alpha depends on T and the system size w. The surface state is
characterized by two time scales; the lifetime of an avalanche, T_{a}, and the
time required to cause an avalanche, T_{s}. The surface state is fluid-like
when T_{a}~T_{s}, and it is solid-like when T_{a}<<T_{s}. Our numerical results
show that \alpha is a function of T_{s}/T_{a}.Comment: 15 pages, 13 figure
Non-Linear/Non-Commutative Non-Abelian Monopoles
Using recently proposed non-linearly realized supersymmetry in non-Abelian
gauge theory corrected to the order (alpha')^2, we derive the non-linear BPS
equations in the background B-field for the U(2) monopoles and instantons. We
show that these non-Abelian non-linear BPS equations coincide with the
non-commutative anti-self-dual equations via the Seiberg-Witten map.Comment: 9 pages, LaTe
Classical Exchange Algebra of the Superstring on S^5 with the AdS-time
A classical exchange algebra of the superstring on S^5 with the AdS-time is
shown on the light-like plane. To this end we use the geometrical method of
which consistency is guaranteed by the classical Yang-Baxter equation. The
Dirac method does not work, there being constraints which contain first-class
and second-class and one can disentangle with each other keeping the isometry
hardly.Comment: 12 pages, v2: argument on alternative representation of S^5 spherical
functions added, typos corrected, one reference added, matches journal
versio
N D0-branes and antibranes in the background independent string field theory
In this paper we extend our previous work hep-th/0102063 to the case
D0-brane+antibrane system.Comment: 20 page
Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
Tree-level scattering amplitudes in N=4 super Yang-Mills theory have recently
been shown to transform covariantly with respect to a 'dual' superconformal
symmetry algebra, thus extending the conventional superconformal symmetry
algebra psu(2,2|4) of the theory. In this paper we derive the action of the
dual superconformal generators in on-shell superspace and extend the dual
generators suitably to leave scattering amplitudes invariant. We then study the
algebra of standard and dual symmetry generators and show that the inclusion of
the dual superconformal generators lifts the psu(2,2|4) symmetry algebra to a
Yangian. The non-local Yangian generators acting on amplitudes turn out to be
cyclically invariant due to special properties of psu(2,2|4). The
representation of the Yangian generators takes the same form as in the case of
local operators, suggesting that the Yangian symmetry is an intrinsic property
of planar N=4 super Yang-Mills, at least at tree level.Comment: 23 pages, no figures; v2: typos corrected, references added; v3:
minor changes, references adde
Search for solar axions using Li-7
We describe a novel approach to the search for solar, near-monochromatic
hadronic axions, the latter being suggested to be created in the solar core
during M1 transitions between the first excited level of Li-7, at 478 keV, and
the ground state. As a result of Doppler broadening, in principle these axions
can be detected via resonant absorption by the same nuclide on the Earth.
Excited nuclei of Li-7 are produced in the solar interior by Be-7 electron
capture and thus the axions are accompanied by emission of Be-7 solar neutrinos
of energy 384 keV. An experiment was made which has yielded an upper limit on
hadronic axion mass of 32 keV at the 95% confidence level.Comment: revtex, 4 pages with 2 figures, title revised, minor changes, matches
version to appear in Phys. Rev.
Summing Up All Genus Free Energy of ABJM Matrix Model
The localization technique allows us to compute the free energy of the U(N)_k
x U(N)_{-k} Chern-Simons-matter theory dual to type IIA strings on AdS_4 x CP^3
from weak to strong 't Hooft coupling \lambda = N / k at finite N, as
demonstrated by Drukker, Marino, and Putrov. In this note we study further the
free energy at large 't Hooft coupling with the aim of testing AdS/CFT at the
quantum gravity level and, in particular, sum up all the 1/N corrections, apart
from the worldsheet instanton contributions. The all genus partition function
takes a remarkably simple form -- the Airy function, Ai (k^{4/3} \lambda_r),
with the renormalized 't Hooft coupling \lambda_r.Comment: 18 pages, no figures, v2: typos corrected and references adde
Conformal Symmetry and A New Gauge in the Matrix Model
We generalize the background gauge in the Matrix model to propose a new gauge
which is useful for discussing the conformal symmetry. In this gauge, the
special conformal transformation (SCT) as the isometry of the near-horizon
geometry of the D-particle solution is directly reproduced with the correct
coefficient as the quantum correction to the SCT in the Matrix model. We also
present a general argument for the relation between the gauge choice and the
field redefinition in the Matrix model.Comment: 17 pages, LaTeX, no figures; v2: Introduction modified, references
added and typos corrected; v3: Introduction changed; v4: Eq.(12) corrected;
v5: final version to appear in Phys. Rev.
Coulomb correlations effects on localized charge relaxation in the coupled quantum dots
We analyzed localized charge time evolution in the system of two interacting
quantum dots (QD) (artificial molecule) coupled with the continuous spectrum
states. We demonstrated that Coulomb interaction modifies relaxation rates and
is responsible for non-monotonic time evolution of the localized charge. We
suggested new mechanism of this non-monotonic charge time evolution connected
with charge redistribution between different relaxation channels in each QD.Comment: 10 pages, 10 figure
ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
We study the relationship between ADHM/Nahm construction and ``solution
generating technique'' of BPS solitons in noncommutative gauge theories.
ADHM/Nahm construction and ``solution generating technique'' are the most
strong ways to construct exact BPS solitons. Localized solitons are the
solitons which are generated by the ``solution generating technique.'' The
shift operators which play crucial roles in ``solution generating technique''
naturally appear in ADHM/Nahm construction and we can construct various exact
localized solitons including new solitons: localized periodic instantons
(=localized calorons) and localized doubly-periodic instantons. Nahm
construction also gives rise to BPS fluxons straightforwardly from the
appropriate input Nahm data which is expected from the D-brane picture of BPS
fluxons. We also show that the Fourier-transformed soliton of the localized
caloron in the zero-period limit exactly coincides with the BPS fluxon.Comment: 30 pages, LaTeX, 3 figures; v3: minor changes, references added; v4:
references added, version to appear in PR
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