6,465 research outputs found
Two-Dimensional Conformal Models of Space-Time and Their Compactification
We study geometry of two-dimensional models of conformal space-time based on
the group of Moebius transformation. The natural geometric invariants, called
cycles, are used to linearise Moebius action. Conformal completion of the
space-time is achieved through an addition of a zero-radius cycle at infinity.
We pay an attention to the natural condition of non-reversibility of time arrow
in order to get a correct compactification in the hyperbolic case.Comment: 8 pages,AMS-LaTeX, 18 PS figures; v2--small corrections; v3--add two
coments on notations and multidimensional generalisation
Auctions with Severely Bounded Communication
We study auctions with severe bounds on the communication allowed: each
bidder may only transmit t bits of information to the auctioneer. We consider
both welfare- and profit-maximizing auctions under this communication
restriction. For both measures, we determine the optimal auction and show that
the loss incurred relative to unconstrained auctions is mild. We prove
non-surprising properties of these kinds of auctions, e.g., that in optimal
mechanisms bidders simply report the interval in which their valuation lies in,
as well as some surprising properties, e.g., that asymmetric auctions are
better than symmetric ones and that multi-round auctions reduce the
communication complexity only by a linear factor
Superselection Structure of Massive Quantum Field Theories in 1+1 Dimensions
We show that a large class of massive quantum field theories in 1+1
dimensions, characterized by Haag duality and the split property for wedges,
does not admit locally generated superselection sectors in the sense of
Doplicher, Haag and Roberts. Thereby the extension of DHR theory to 1+1
dimensions due to Fredenhagen, Rehren and Schroer is vacuous for such theories.
Even charged representations which are localizable only in wedge regions are
ruled out. Furthermore, Haag duality holds in all locally normal
representations. These results are applied to the theory of soliton sectors.
Furthermore, the extension of localized representations of a non-Haag dual net
to the dual net is reconsidered. It must be emphasized that these statements do
not apply to massless theories since they do not satisfy the above split
property. In particular, it is known that positive energy representations of
conformally invariant theories are DHR representations.Comment: latex2e, 21 pages. Final version, to appear in Rev. Math. Phys. Some
improvements of the presentation, but no essential change
Arctic Cloud Radiative Forcing in Contemporary Atmospheric Reanalyses
Arctic clouds play an important role in modifying the surface energy balance. In the Arctic, clouds are thought to influence the underlying sea ice cover through changing downwelling longwave radiative fluxes to the surface and through the selective reflection of the shortwave flux in summer. Atmospheric reanalyses are generally thought to have a poor representation of cloud processes at high latitudes, although the representation of trends over the perennial Arctic sea ice pack is less well known. Here, atmospheric energy fluxes are examined at the top of the atmosphere from contemporary reanalyses in comparison to satellite measurements from the CERES-EBAF version 4.1 product. The principal reanalyses examined are the NASA MERRA-2, the ECMWF ERA5 and ERA-Interim, the JRA-55, and the regional Arctic System Reanalysis version 2. In agreement with previous observation-based studies, changes with time in the shortwave cloud radiative forcing in reanalyses are found to be negligible despite strong trends in the absorbed shortwave. Over the full satellite period, there is large disagreement in the seasonality of longwave cloud forcing trends. These trends are reduced during the CERES-EBAF observing period (2003-present). An examination of these trends with respect to sea ice cover changes in each of the reanalyses is conducted
Testing the Hubble Law with the IRAS 1.2 Jy Redshift Survey
We test and reject the claim of Segal et al. (1993) that the correlation of
redshifts and flux densities in a complete sample of IRAS galaxies favors a
quadratic redshift-distance relation over the linear Hubble law. This is done,
in effect, by treating the entire galaxy luminosity function as derived from
the 60 micron 1.2 Jy IRAS redshift survey of Fisher et al. (1995) as a distance
indicator; equivalently, we compare the flux density distribution of galaxies
as a function of redshift with predictions under different redshift-distance
cosmologies, under the assumption of a universal luminosity function. This
method does not assume a uniform distribution of galaxies in space. We find
that this test has rather weak discriminatory power, as argued by Petrosian
(1993), and the differences between models are not as stark as one might expect
a priori. Even so, we find that the Hubble law is indeed more strongly
supported by the analysis than is the quadratic redshift-distance relation. We
identify a bias in the the Segal et al. determination of the luminosity
function, which could lead one to mistakenly favor the quadratic
redshift-distance law. We also present several complementary analyses of the
density field of the sample; the galaxy density field is found to be close to
homogeneous on large scales if the Hubble law is assumed, while this is not the
case with the quadratic redshift-distance relation.Comment: 27 pages Latex (w/figures), ApJ, in press. Uses AAS macros,
postscript also available at
http://www.astro.princeton.edu/~library/preprints/pop682.ps.g
Dynamics of coherences in the interacting double-dot Aharonov-Bohm interferometer: Exact numerical simulations
We study the real time dynamics of electron coherence in a double quantum dot
two-terminal Aharonov-Bohm geometry, taking into account repulsion effects
between the dots' electrons. The system is simulated by extending a numerically
exact path integral method, suitable for treating transport and dissipation in
biased impurity models [Phys. Rev. B 82, 205323 (2010)]. Numerical simulations
at finite interaction strength are supported by master equation calculations in
two other limits: assuming non-interacting electrons, and working in the
Coulomb blockade regime. Focusing on the intrinsic coherence dynamics between
the double-dot states, we find that its temporal characteristics are preserved
under weak-to-intermediate inter-dot Coulomb interaction. In contrast, in the
Coulomb blockade limit, a master equation calculation predicts coherence
dynamics and a steady-state value which notably deviate from the finite
interaction case
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