13,000 research outputs found
Automorphism Inducing Diffeomorphisms, Invariant Characterization of Homogeneous 3-Spaces and Hamiltonian Dynamics of Bianchi Cosmologies
An invariant description of Bianchi Homogeneous (B.H.) 3-spaces is presented,
by considering the action of the Automorphism Group on the configuration space
of the real, symmetric, positive definite, matrices. Thus, the
gauge degrees of freedom are removed and the remaining (gauge invariant)
degrees, are the --up to 3-- curvature invariants. An apparent discrepancy
between this Kinematics and the Quantum Hamiltonian Dynamics of the lower Class
A Bianchi Types, occurs due to the existence of the Outer Automorphism
Subgroup. This discrepancy is satisfactorily removed by exploiting the quantum
version of some classical integrals of motion (conditional symmetries) which
are recognized as corresponding to the Outer Automorphisms.Comment: 18 pages, LaTeX2e, no figures, one table, to appear in Communications
in Mathematical Physic
On amplitude zeros at threshold
The occurrence of zeros of 2 to n amplitudes at threshold in scalar theories
is studied. We find a differential equation for the scalar potential, which
incorporates all known cases where the 2 to n amplitudes at threshold vanish
for all sufficiently large , in all space-time dimensions, . This
equation is related to the reflectionless potentials of Quantum Mechanics and
to integrable theories in 1+1 dimensions. As an application, we find that the
sine-Gordon potential and its hyperbolic version, the sinh-Gordon potential,
also have amplitude zeros at threshold, , for and
, independently of the mass and the coupling constant.Comment: 6 pages, Latex, CERN-TH.6762/9
String Thermalization in Static Spacetimes
We study the evolution, the transverse spreading and the subsequent
thermalization of string states in the Weyl static axisymmetric spacetime. This
possesses a singular event horizon on the symmetry axis and a naked singularity
along the other directions. The branching diffusion process of string bits
approaching the singular event horizon provides the notion of temperature that
is calculated for this process. We find that the solution of the Fokker-Planck
equation in the phase space of the transverse variables of the string, can be
factored as a product of two thermal distributions, provided that the classical
conjugate variables satisfy the uncertainty principle. We comment on the
possible physical significance of this result.Comment: 16 pages, no figures, Late
Pre-Inflation in the Presence of Conformal Coupling
We consider a massless scalar field, conformally coupled to the Ricci scalar
curvature, in the pre-inflation era of a closed FLRW Universe. The scalar field
potential can be of the form of the Coleman-Weinberg one-loop potential, which
is flat at the origin and drives the inflationary evolution. For positive
values of the conformal parameter \xi, less than the critical value xi_c=(1/6),
the model admits exact solutions with non-zero scale factor and zero initial
Hubble parameter. Thus these solutions can be matched smoothly to the so called
Pre-Big-Bang models. At the end of this pre-inflation era one can match
inflationary solutions by specifying the form of the potential and the whole
solution is of the class C^(1).Comment: 11 pages, 5 figures, LaTeX, Accepted for publication in MPL
Multiscalar production amplitudes beyond threshold
We present exact tree-order amplitudes for , for final states
containing one or two particles with non-zero three-momentum, for various
interaction potentials. We show that there are potentials leading to tree
amplitudes that satisfy unitarity, not only at threshold but also in the above
kinematical configurations and probably beyond. As a by-product, we also
calculate tree amplitudes at threshold and show that for the unbroken
theory they vanish for , for the Standard Model Higgs they
vanish for and for a model potential, respecting tree-order
unitarity, for even and . Finally, we calculate the imaginary part of
the one-loop amplitude in both symmetric and spontaneously broken
theory.Comment: 11 pages, Latex, 3 figures (available on request
Molecular and atomic line surveys of galaxies I: the dense, star-forming phase as a beacon
We predict the space density of molecular gas reservoirs in the Universe, and
place a lower limit on the number counts of carbon monoxide (CO), hydrogen
cyanide (HCN) molecular and [CII] atomic emission lines in blind redshift
surveys in the submillimeter-centimeter spectral regime. Our model uses: (a)
recently available HCN Spectral Line Energy Distributions (SLEDs) of local
Luminous Infrared Galaxies (LIRGs, L_IR>10^11 L_sun), (b) a value for
epsilon=SFR/M_dense(H_2) provided by new developments in the study of star
formation feedback on the interstellar medium and (c) a model for the evolution
of the infrared luminosity density. Minimal 'emergent' CO SLEDs from the dense
gas reservoirs expected in all star-forming systems in the Universe are then
computed from the HCN SLEDs since warm, HCN-bright gas will necessarily be
CO-bright, with the dense star-forming gas phase setting an obvious minimum to
the total molecular gas mass of any star-forming galaxy. We include [CII] as
the most important of the far-infrared cooling lines. Optimal blind surveys
with the Atacama Large Millimeter Array (ALMA) could potentially detect very
distant (z~10-12) [CII] emitters in the >ULIRG galaxy class at a rate of ~0.1-1
per hour (although this prediction is strongly dependent on the star formation
and enrichment history at this early epoch), whereas the (high-frequency)
Square Kilometer Array (SKA) will be capable of blindly detecting z>3 low-J CO
emitters at a rate of ~40-70 per hour. The [CII] line holds special promise for
the detection of metal-poor systems with extensive reservoirs of CO-dark
molecular gas where detection rates with ALMA can reach up to 2-7 per hour in
Bands 4-6.Comment: 16 pages, 9 figures, accepted for publication in Ap
Domain Walls on the Brane
We show that all branes admit worldvolume domain wall solutions. We find one
class of solutions for which the tension of the brane changes discontinuously
along the domain wall. These solutions are not supersymmetric. We argue that
there is another class of domain wall solutions which is supersymmetric. A
particular case concerns supersymmetric domain wall solutions on IIB D-5- and
NS-5-branes.Comment: 18 pages, Tex, uses phyzz
On cost-effective reuse of components in the design of complex reconfigurable systems
Design strategies that benefit from the reuse of system components can reduce costs while maintaining or increasing dependability—we use the term dependability to tie together reliability and availability. D3H2 (aDaptive Dependable Design for systems with Homogeneous and Heterogeneous redundancies) is a methodology that supports the design of complex systems with a focus on reconfiguration and component reuse. D3H2 systematizes the identification of heterogeneous redundancies and optimizes the design of fault detection and reconfiguration mechanisms, by enabling the analysis of design alternatives with respect to dependability and cost. In this paper, we extend D3H2 for application to repairable systems. The method is extended with analysis capabilities allowing dependability assessment of complex reconfigurable systems. Analysed scenarios include time-dependencies between failure events and the corresponding reconfiguration actions. We demonstrate how D3H2 can support decisions about fault detection and reconfiguration that seek to improve dependability while reducing costs via application to a realistic railway case study
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