3,076 research outputs found
Quantum gravity at a large number of dimensions
We consider the large- limit of Einstein gravity. It is observed that a
consistent leading large- graph limit exists, and that it is built up by a
subclass of planar diagrams. The graphs in the effective field theory extension
of Einstein gravity are investigated in the same context, and it is seen that
an effective field theory extension of the basic Einstein-Hilbert theory will
not upset the latter leading large- graph limit, {\it i.e.}, the same
subclass of planar diagrams will dominate at large- in the effective field
theory. The effective field theory description of large- quantum gravity
limit will be renormalizable, and the resulting theory will thus be completely
well defined up to the Planck scale at GeV. The
expansion in gravity is compared to the successful expansion in
gauge theory (the planar diagram limit), and dissimilarities and parallels of
the two expansions are discussed. We consider the expansion of the effective
field theory terms and we make some remarks on explicit calculations of
-point functions.Comment: 18 pages, 23 figures (75 files), format RevTex4, typos corrected,
references adde
Relationships between a roller and a dynamic pressure distribution in circular hydraulic jumps
We investigated numerically the relation between a roller and the pressure
distribution to clarify the dynamics of the roller in circular hydraulic jumps.
We found that a roller which characterizes a type II jump is associated with
two high pressure regions after the jump, while a type I jump (without the
roller) is associated with only one high pressure region. Our numerical results
show that building up an appropriate pressure field is essential for a roller.Comment: 10 pages, 7 PS files. To appear in PR
Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
Spectroscopic calculations are carried out, for the description of the
shape/phase transition in Pt nuclei in terms of the Interacting Boson Model
(IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB)
calculations with the finite range and density dependent Gogny-D1S Energy
Density Functional. Assuming that the many-nucleon driven dynamics of nuclear
surface deformation can be simulated by effective bosonic degrees of freedom,
the Gogny-D1S potential energy surface (PES) with quadrupole degrees of freedom
is mapped onto the corresponding PES of the IBM. Using this mapping procedure,
the parameters of the IBM Hamiltonian, relevant to the low-lying quadrupole
collective states, are derived as functions of the number of valence nucleons.
Merits of both Gogny-HFB and IBM approaches are utilized so that the spectra
and the wave functions in the laboratory system are calculated precisely. The
experimental low-lying spectra of both ground-state and side-band levels are
well reproduced. From the systematics of the calculated spectra and the reduced
E2 transition probabilities (E2), the prolate-to-oblate shape/phase
transition is shown to take place quite smoothly as a function of neutron
number in the considered Pt isotopic chain, for which the -softness
plays an essential role. All these spectroscopic observables behave
consistently with the relevant PESs and the derived parameters of the IBM
Hamiltonian as functions of . Spectroscopic predictions are also made for
those nuclei which do not have enough experimental E2 data.Comment: 11 pages, 5 figure
Bursts and Shocks in a Continuum Shell Model
We study a "burst" event, i. e. the evolution of an initial condition having
support only in a finite interval of k-space, in the continuum shell model due
to Parisi. We show that the continuum equation without forcing or dissipation
can be explicitly written in characteristic form and that the right and left
moving parts can be solved exactly. When this is supplemented by the
appropriate shock condition it is possible to find the asymptotic form of the
burst.Comment: 15 pages, 2 eps figures included, Latex 2e. Contribution to the
proceedings of the conference: Disorder and Chaos, in honour of Giovanni
Paladin, September 22-24, 1997, in Rom
Glauber-model analysis of total reaction cross sections for Ne, Mg, Si, and S isotopes with Skyrme-Hartree-Fock densities
A systematic analysis is made on the total reaction cross sections for Ne,
Mg, Si, and S isotopes. The high-energy nucleus-nucleus collision is described
based on the Glauber model. Using the Skyrme-Hartree-Fock method in the
three-dimensional grid-space representation, we determine the nuclear density
distribution for a wide range of nuclei self-consistently without assuming any
spatial symmetry. The calculated total reaction cross sections consistently
agree with the recent cross section data on NeC collision at
240\,MeV, which makes it possible to discuss the radius and deformation of
the isotopes. The total reaction cross sections for MgC, SiC
and SC cases are predicted for future measurements. We also find that
the high-energy cross section data for O, Ne, and Mg isotopes on a C
target at around 1000\,MeV can not be reproduced consistently with the
corresponding data at 240\,MeV.Comment: 10 pages, 14 figure
Multipole strength function of deformed superfluid nuclei made easy
We present an efficient method for calculating strength functions using the
finite amplitude method (FAM) for deformed superfluid heavy nuclei within the
framework of the nuclear density functional theory. We demonstrate that FAM
reproduces strength functions obtained with the fully self-consistent
quasi-particle random-phase approximation (QRPA) at a fraction of computational
cost. As a demonstration, we compute the isoscalar and isovector monopole
strength for strongly deformed configurations in Pu by considering huge
quasi-particle QRPA spaces. Our approach to FAM, based on Broyden's iterative
procedure, opens the possibility for large-scale calculations of strength
distributions in well-bound and weakly bound nuclei across the nuclear
landscape.Comment: 5 pages, 3 figure
Clustering transition in a system of particles self-consistently driven by a shear flow
We introduce a simple model of active transport for an ensemble of particles
driven by an external shear flow. Active refers to the fact that the flow of
the particles is modified by the distribution of particles itself. The model
consists in that the effective velocity of every particle is given by the
average of the external flow velocities felt by the particles located at a
distance less than a typical radius, . Numerical analysis reveals the
existence of a transition to clustering depending on the parameters of the
external flow and on . A continuum description in terms of the number
density of particles is derived, and a linear stability analysis of the density
equation is performed in order to characterize the transitions observed in the
model of interacting particles.Comment: 11 pages, 2 figures. To appear in PR
The Complete KLT-Map Between Gravity and Gauge Theories
We present the complete map of any pair of super Yang-Mills theories to
supergravity theories as dictated by the KLT relations in four dimensions.
Symmetries and the full set of associated vanishing identities are derived. A
graphical method is introduced which simplifies counting of states, and helps
in identifying the relevant set of symmetries.Comment: 41 pages, 16 figures, published version, typos corrected, references
adde
Geometry of intensive scalar dissipation events in turbulence
Maxima of the scalar dissipation rate in turbulence appear in form of sheets
and correspond to the potentially most intensive scalar mixing events. Their
cross-section extension determines a locally varying diffusion scale of the
mixing process and extends the classical Batchelor picture of one mean
diffusion scale. The distribution of the local diffusion scales is analysed for
different Reynolds and Schmidt numbers with a fast multiscale technique applied
to very high-resolution simulation data. The scales take always values across
the whole Batchelor range and beyond. Furthermore, their distribution is traced
back to the distribution of the contractive short-time Lyapunov exponent of the
flow.Comment: 4 pages, 5 Postscript figures (2 with reduced quality
Interference effects in the Coulomb dissociation of 15,17,19C
In this work the semiclassical model of pure Coulomb excitation was applied
to the breakup of 15,17,19C. The ground state wave functions were calculated in
the particle-rotor model including core excitation. The importance of
interference terms in the dipole strength arising after including core degrees
of freedom is analyzed for each isotope. It is shown that Coulomb interference
effects are important for the case of 17C.Comment: 17 pages, 5 figures accepted to Physical Review
- …