1,130 research outputs found
Quantum lump dynamics on the two-sphere
It is well known that the low-energy classical dynamics of solitons of
Bogomol'nyi type is well approximated by geodesic motion in M_n, the moduli
space of static n-solitons. There is an obvious quantization of this dynamics
wherein the wavefunction evolves according to the Hamiltonian H_0 equal to
(half) the Laplacian on M_n. Born-Oppenheimer reduction of analogous mechanical
systems suggests, however, that this simple Hamiltonian should receive
corrections including k, the scalar curvature of M_n, and C, the n-soliton
Casimir energy, which are usually difficult to compute, and whose effect on the
energy spectrum is unknown. This paper analyzes the spectra of H_0 and two
corrections to it suggested by work of Moss and Shiiki, namely H_1=H_0+k/4 and
H_2=H_1+C, in the simple but nontrivial case of a single CP^1 lump moving on
the two-sphere. Here M_1=TSO(3), a noncompact kaehler 6-manifold invariant
under an SO(3)xSO(3) action, whose geometry is well understood. The symmetry
gives rise to two conserved angular momenta, spin and isospin. A hidden
isometry of M_1 is found which implies that all three energy spectra are
symmetric under spin-isospin interchange. The Casimir energy is found exactly
on the zero section of TSO(3), and approximated numerically on the rest of M_1.
The lowest 19 eigenvalues of H_i are found for i=0,1,2, and their spin-isospin
and parity compared. The curvature corrections in H_1 lead to a qualitatively
unchanged low-level spectrum while the Casimir energy in H_2 leads to
significant changes. The scaling behaviour of the spectra under changes in the
radii of the domain and target spheres is analyzed, and it is found that the
disparity between the spectra of H_1 and H_2 is reduced when the target sphere
is made smaller.Comment: 35 pages, 3 figure
Private sector involvement in water services
Private sector involvement in water service
General dissipation coefficient in low-temperature warm inflation
In generic particle physics models, the inflaton field is coupled to other
bosonic and fermionic fields that acquire large masses during inflation and may
decay into light degrees of freedom. This leads to dissipative effects that
modify the inflationary dynamics and may generate a nearly-thermal radiation
bath, such that inflation occurs in a warm rather than supercooled environment.
In this work, we perform a numerical computation and obtain expressions for the
associated dissipation coefficient in supersymmetric models, focusing on the
regime where the radiation temperature is below the heavy mass threshold. The
dissipation coefficient receives contributions from the decay of both on-shell
and off-shell degrees of freedom, which are dominant for small and large
couplings, respectively, taking into account the light field multiplicities. In
particular, we find that the contribution from on-shell decays, although
Boltzmann-suppressed, can be much larger than that of virtual modes, which is
bounded by the validity of a perturbative analysis. This result opens up new
possibilities for realizations of warm inflation in supersymmetric field
theories.Comment: 25 pages, 13 figures; revised version with new results added;
published in JCA
Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole
We compute the quasinormal frequencies corresponding to the scalar sector of
gravitational perturbations in the four-dimensional AdS-Schwarzschild black
hole by using the master field formalism of hep-th/0305147. We argue that the
non-deformation of the boundary metric favors a Robin boundary condition on the
master field over the usual Dirichlet boundary condition mostly used in the
literature. Using this Robin boundary condition we find a family of low-lying
modes, whose frequencies match closely with predictions from linearized
hydrodynamics on the boundary. In addition to the low-lying modes, we also see
the usual sequence of modes with frequencies almost following an arithmetic
progression.Comment: 23 pages, 3 figures; v2: typos corrected; v3: algebraic derivation of
hydrodynamic modes corrected, results unaltere
The L^2 geometry of spaces of harmonic maps S^2 -> S^2 and RP^2 -> RP^2
Harmonic maps from S^2 to S^2 are all weakly conformal, and so are
represented by rational maps. This paper presents a study of the L^2 metric
gamma on M_n, the space of degree n harmonic maps S^2 -> S^2, or equivalently,
the space of rational maps of degree n. It is proved that gamma is Kaehler with
respect to a certain natural complex structure on M_n. The case n=1 is
considered in detail: explicit formulae for gamma and its holomorphic
sectional, Ricci and scalar curvatures are obtained, it is shown that the space
has finite volume and diameter and codimension 2 boundary at infinity, and a
certain class of Hamiltonian flows on M_1 is analyzed. It is proved that
\tilde{M}_n, the space of absolute degree n (an odd positive integer) harmonic
maps RP^2 -> RP^2, is a totally geodesic Lagrangian submanifold of M_n, and
that for all n>1, \tilde{M}_n is geodesically incomplete. Possible
generalizations and the relevance of these results to theoretical physics are
briefly discussed.Comment: 27 pages, 2 figure
Sediment flux and composition changes in canyons on a carbonate-siliciclastic margin: evidence from turbidite deposits along the Great Barrier Reef margin
The shelf edge and slope of the Great Barrier Reef is heavily incised by submarine canyons which terminate in the Queensland Trough. Traditionally, sedimentation on the margin has been investigated within the framework of idealized siliciclastic or carbonate systems, depending on whether rivers or shallow marine carbonate producers dominate supply. The widely accepted paradigm ('reciprocal' sedimentation) states that sea-level strongly influences shelf, slope and basin sedimentation, with siliciclastics dominating lowstand periods and carbonates dominating transgressions/highstands. However, recent work (e.g., Dunbar and Dickens, 2003) on cores from the slope and basin has challenged this view. These workers argue that accumulation of both siliciclastic and carbonate sediments varies in phase, with the highest rates observed during transgressions, lowest rates during lowstands and moderate sedimentation during highstands. Irrespective of which model is correct, exactly how the sediment (carbonate or siliciclastic) moves from the shelf to the basin, and the role of submarine canyons in this process is not understood. We address this problem directly by investigating sedimentation in the canyons bordering the GBR. Combining new multibeam bathymetry and seismic data with x-radiograph, magnetic susceptibility, insitu reflectance spectroscopy, grain size, CNS, petrologic, pollen and 14C AMS analyses of canyon cores off Cooktown and Cairns, we aim to establish the source, timing and frequency of turbidite events deposited in the canyons over the last glacial to interglacial cycle, thereby testing the competing models. Our preliminary data confirm that: (1) the canyons record a distinct sedimentary shift from siliciclastic turbidites to calciturbidites; (2) the siliciclastic turbidites were deposited before 28 ka - providing strong support for the "reciprocal" model of margin sedimentation; and (3) the canyons have been active throughout the last deglaciation and into the late Holocene
Polarization and Spin-Flip in Proton Inelastic Scattering
This work was supported by the National Science Foundation Grant NSF PHY 78-22774 A02 & A03 and by Indiana Universit
The CMB Bispectrum
We use a separable mode expansion estimator with WMAP data to estimate the
bispectrum for all the primary families of non-Gaussian models. We review the
late-time mode expansion estimator methodology which can be applied to any
non-separable primordial and CMB bispectrum model, and we demonstrate how the
method can be used to reconstruct the CMB bispectrum from an observational map.
We extend the previous validation of the general estimator using local map
simulations. We apply the estimator to the coadded WMAP 5-year data,
reconstructing the WMAP bispectrum using multipoles and
orthonormal 3D eigenmodes. We constrain all popular nearly scale-invariant
models, ensuring that the theoretical bispectrum is well-described by a
convergent mode expansion. Constraints from the local model \fnl=54.4\pm
29.4 and the equilateral model \fnl=143.5\pm 151.2 (\Fnl = 25.1\pm 26.4)
are consistent with previously published results. (Here, we use a nonlinearity
parameter \Fnl normalised to the local case, to allow more direct comparison
between different models.) Notable new constraints from our method include
those for the constant model \Fnl = 35.1 \pm 27.4 , the flattened model \Fnl
= 35.4\pm 29.2, and warm inflation \Fnl = 10.3\pm 27.2. We investigate
feature models surveying a wide parameter range in both the scale and phase,
and we find no significant evidence of non-Gaussianity in the models surveyed.
We propose a measure \barFnl for the total integrated bispectrum and find
that the measured value is consistent with the null hypothesis that CMB
anisotropies obey Gaussian statistics. We argue that this general bispectrum
survey with the WMAP data represents the best evidence for Gaussianity to date
and we discuss future prospects, notably from the Planck satellite
An improved effective potential for electroweak phase transitions
It is shown that improved potentials and corrected mass terms can be
introduced by using a quadratic source term in the path integral construction
for the effective action. The advantage of doing things this way is that we
avoid ever having to deal with complex propagators in the loop expansion. The
resulting effective action for electroweak phase transitions is similar to the
usual results.Comment: 16 pages, NCL93-TP16, (REVTEX
Energy-momentum/Cotton tensor duality for AdS4 black holes
We consider the theory of gravitational quasi-normal modes for general linear
perturbations of AdS4 black holes. Special emphasis is placed on the effective
Schrodinger problems for axial and polar perturbations that realize
supersymmetric partner potential barriers on the half-line. Using the
holographic renormalization method, we compute the energy-momentum tensor for
perturbations satisfying arbitrary boundary conditions at spatial infinity and
discuss some aspects of the problem in the hydrodynamic representation. It is
also observed in this general framework that the energy-momentum tensor of
black hole perturbations and the energy momentum tensor of the gravitational
Chern-Simons action (known as Cotton tensor) exhibit an axial-polar duality
with respect to appropriately chosen supersymmetric partner boundary conditions
on the effective Schrodinger wave-functions. This correspondence applies to
perturbations of very large AdS4 black holes with shear viscosity to entropy
density ratio equal to 1/4\pi, thus providing a dual graviton description of
their hydrodynamic modes. We also entertain the idea that the purely
dissipative modes of black hole hydrodynamics may admit Ricci flow description
in the non-linear regime.Comment: 38 pages; minor typos corrected, a few extra references and a note
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