7,220 research outputs found
Gaugino and Scalar Masses in the Landscape
In this letter we demonstrate the genericity of suppressed gaugino masses M_a
\sim m_{3/2}/ln(M_P/m_{3/2}) in the IIB string landscape, by showing that this
relation holds for D7-brane gauginos whenever the associated modulus is
stabilised by nonperturbative effects. Although m_{3/2} and M_a take many
different values across the landscape, the above small mass hierarchy is
maintained. We show that it is valid for models with an arbitrary number of
moduli and applies to both the KKLT and exponentially large volume approaches
to Kahler moduli stabilisation. In the latter case we explicitly calculate
gaugino and moduli masses for compactifications on the two-modulus Calabi-Yau
P^4_[1,1,1,6,9]. In the large-volume scenario we also show that soft scalar
masses are approximately universal with m_i^2 \sim m_{3/2}^2 (1 + \epsilon_i),
with the non-universality parametrised by \epsilon_i \sim 1/ln (M_P/m_{3/2})^2
\sim 1/1000. We briefly discuss possible phenomenological implications of our
results.Comment: 15 pages, JHEP style; v2. reference adde
Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling
We investigate synchronization in a Kuramoto-like model with nearest
neighbour coupling. Upon analyzing the behaviour of individual oscillators at
the onset of complete synchronization, we show that the time interval between
bursts in the time dependence of the frequencies of the oscillators exhibits
universal scaling and blows up at the critical coupling strength. We also bring
out a key mechanism that leads to phase locking. Finally, we deduce forms for
the phases and frequencies at the onset of complete synchronization.Comment: 6 pages, 4 figures, to appear in CHAO
Topologically massive magnetic monopoles
We show that in the Maxwell-Chern-Simons theory of topologically massive
electrodynamics the Dirac string of a monopole becomes a cone in anti-de Sitter
space with the opening angle of the cone determined by the topological mass
which in turn is related to the square root of the cosmological constant. This
proves to be an example of a physical system, {\it a priory} completely
unrelated to gravity, which nevertheless requires curved spacetime for its very
existence. We extend this result to topologically massive gravity coupled to
topologically massive electrodynamics in the framework of the theory of Deser,
Jackiw and Templeton. These are homogeneous spaces with conical deficit. Pure
Einstein gravity coupled to Maxwell-Chern-Simons field does not admit such a
monopole solution
Barremian-Turonian benthic foraminiferal assemblages from the Great Valley Sequence, California
Abstrac
Electronic lifetimes in ballistic quantum dots electrostatically coupled to metallic environments
We calculate the lifetime of low-energy electronic excitations in a
two-dimensional quantum dot near a metallic gate. We find different behaviors
depending on the relative values of the dot size, the dot-gate distance and the
Thomas-Fermi screening length within the dot. The standard Fermi liquid
behavior is obtained when the dot-gate distance is much shorter than the dot
size or when it is so large that intrinsic effects dominate. Departures from
the Fermi liquid behavior are found in the unscreened dipole case of small dots
far away from the gate, for which a Caldeira-Leggett model is applicable. At
intermediate distances, a marginal Fermi liquid is obtained if there is
sufficient screening within the dot. In these last two non-trivial cases, the
level width decays as a power law with the dot-gate distance
Bound states in the dynamics of a dipole in the presence of a conical defect
In this work we investigate the quantum dynamics of an electric dipole in a
-dimensional conical spacetime. For specific conditions, the
Schr\"odinger equation is solved and bound states are found with the energy
spectrum and eigenfunctions determined. We find that the bound states spectrum
extends from minus infinity to zero with a point of accumulation at zero. This
unphysical result is fixed when a finite radius for the defect is introduced.Comment: 4 page
Evolution of associative learning in chemical networks
Organisms that can learn about their environment and modify their behaviour appropriately during their lifetime are more likely to survive and reproduce than organisms that do not. While associative learning – the ability to detect correlated features of the environment – has been studied extensively in nervous systems, where the underlying mechanisms are reasonably well understood, mechanisms within single cells that could allow associative learning have received little attention. Here, using in silico evolution of chemical networks, we show that there exists a diversity of remarkably simple and plausible chemical solutions to the associative learning problem, the simplest of which uses only one core chemical reaction. We then asked to what extent a linear combination of chemical concentrations in the network could approximate the ideal Bayesian posterior of an environment given the stimulus history so far? This Bayesian analysis revealed the ’memory traces’ of the chemical network. The implication of this paper is that there is little reason to believe that a lack of suitable phenotypic variation would prevent associative learning from evolving in cell signalling, metabolic, gene regulatory, or a mixture of these networks in cells
The graviton vacuum as a distributional state in kinematic Loop Quantum Gravity
The quantum behaviour of weak gravitational fields admits an adequate, albeit
approximate, description by those graviton states in which the expectation
values and fluctuations of the linearised gravitational field are small. Such
states must approximate corresponding states in full quantum gravity. We
analyse the nature of this approximation for the graviton vacuum state in the
context of kinematical Loop Quantum Gravity (LQG) wherein the constraints are
ignored. We identify the graviton vacuum state with kinematically
non-normalizable, distributional states in LQG by demanding that relations
between linearised operator actions on the former are mirrored by those of
their non-linear counterparts on the latter. We define a semi- norm on the
space of kinematical distributions and show that the identification is
approximate upto distributions which are small in this semi-norm. We argue that
our candidate states are annihilated by the linearised constraints (expressed
as operators in the full theory) to leading order in the parameter
characterising the approximation. This suggests the possibility, in a scheme
such as ours, of solving the full constraints order by order in this parameter.
The main drawback of our considerations is that they depend on certain
auxilliary constructions which, though mathematically well defined, do not
arise from physical insight. Our work is an attempt to implement an earlier
proposal of Iwasaki and Rovelli.Comment: 44 pages, no figure
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