18 research outputs found
Integrable Systems and Metrics of Constant Curvature
In this article we present a Lagrangian representation for evolutionary
systems with a Hamiltonian structure determined by a differential-geometric
Poisson bracket of the first order associated with metrics of constant
curvature. Kaup-Boussinesq system has three local Hamiltonian structures and
one nonlocal Hamiltonian structure associated with metric of constant
curvature. Darboux theorem (reducing Hamiltonian structures to canonical form
''d/dx'' by differential substitutions and reciprocal transformations) for
these Hamiltonian structures is proved
Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
We investigate multi-dimensional Hamiltonian systems associated with constant
Poisson brackets of hydrodynamic type. A complete list of two- and
three-component integrable Hamiltonians is obtained. All our examples possess
dispersionless Lax pairs and an infinity of hydrodynamic reductions.Comment: 34 page
Black Hole Production in Particle Collisions and Higher Curvature Gravity
The problem of black hole production in transplanckian particle collisions is
revisited, in the context of large extra dimensions scenarios of TeV-scale
gravity. The validity of the standard description of this process (two
colliding Aichelburg-Sexl shock waves in classical Einstein gravity) is
questioned. It is observed that the classical spacetime has large curvature
along the transverse collision plane, as signaled by the curvature invariant
(R_ijkl)^2. Thus quantum gravity effects, and in particular higher curvature
corrections to the Einstein gravity, cannot be ignored. To give a specific
example of what may happen, the collision is re-analyzed in the
Einstein-Lanczos-Lovelock gravity theory, which modifies the Einstein-Hilbert
Lagrangian by adding a particular `Gauss-Bonnet' combination of curvature
squared terms. The analysis uses a series of approximations, which reduce the
field equations to a tractable second order nonlinear PDE of the Monge-Ampere
type. It is found that the resulting spacetime is significantly different from
the pure Einstein case in the future of the transverse collision plane. These
considerations cast serious doubts on the geometric cross section estimate,
which is based on the classical Einstein gravity description of the black hole
production process.Comment: 36 pp, v2: quantum wavelength limit on particle size and shock width
included; curvature estimate lowered but still well above Planck value; small
modifications throughout; conclusions unchange
On Deformations of Multidimensional Poisson Brackets of Hydrodynamic Type
The theory of Poisson vertex algebras (PVAs) (Barakat et al. in Jpn J Math 4(2):141–252, 2009) is a good framework to treat Hamiltonian partial differential equations. A PVA consists of a pair of a differential algebra and a bilinear operation called th
Evidence of Color Coherence Effects in W+jets Events from ppbar Collisions at sqrt(s) = 1.8 TeV
We report the results of a study of color coherence effects in ppbar
collisions based on data collected by the D0 detector during the 1994-1995 run
of the Fermilab Tevatron Collider, at a center of mass energy sqrt(s) = 1.8
TeV. Initial-to-final state color interference effects are studied by examining
particle distribution patterns in events with a W boson and at least one jet.
The data are compared to Monte Carlo simulations with different color coherence
implementations and to an analytic modified-leading-logarithm perturbative
calculation based on the local parton-hadron duality hypothesis.Comment: 13 pages, 6 figures. Submitted to Physics Letters
Search for electroweak production of single top quarks in collisions.
We present a search for electroweak production of single top quarks in the electron+jets and muon+jets decay channels. The measurements use ~90 pb^-1 of data from Run 1 of the Fermilab Tevatron collider, collected at 1.8 TeV with the DZero detector between 1992 and 1995. We use events that include a tagging muon, implying the presence of a b jet, to set an upper limit at the 95% confidence level on the cross section for the s-channel process ppbar->tb+X of 39 pb. The upper limit for the t-channel process ppbar->tqb+X is 58 pb. (arXiv