45 research outputs found
On Black Hole Creation in Planckian Energy Scattering
In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured
that black holes occur in the collision of two light particles at planckian
energies. In this talk based on \cite {AVV} we discuss a possible scenario for
such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between
the Kerr black hole solution and colliding plane gravitational waves.Comment: Cont.Proc. of VI Quantum Gravity Seminar, 15 pages, LATE
Why is Spacetime Lorentzian?
We expand on the idea that spacetime signature should be treated as a
dynamical degree of freedom in quantum field theory. It has been argued that
the probability distribution for signature, induced by massless free fields, is
peaked at the Lorentzian value uniquely in D=4 dimensions. This argument is
reviewed, and certain consistency constraints on the generalized signature
(i.e. the tangent space metric
\eta_{ab}(x)=\mbox{diag}[e^{i\theta(x)},1,1,1]) are derived. It is shown that
only one dynamical "Wick angle" can be introduced in the
generalized signature, and the magnitude of fluctuations away from Lorentzian
signature is estimated to be of order
, where is the Planck length, and is the length scale of
the Universe. For massless fields, the case of D=2 dimensions and the case of
supersymmetry are degenerate, in the sense that no signature is preferred. Mass
effects lift this degeneracy, and we show that a dynamical origin of Lorentzian
signature is also possible for (broken) supersymmetry theories in D=6
dimensions, in addition to the more general non-supersymmetric case in D=4
dimensions.Comment: 26 pages, plain LaTeX, NBI-HE-93-3
Trying to understand confinement in the Schroedinger picture
We study the gauge-invariant gaussian ansatz for the vacuum wave functional
and show that it potentially possesses many desirable features of the
Yang--Mills theory, like asymptotic freedom, mass generation through the
transmutation of dimensions and a linear potential between static quarks. We
point out that these (and other) features can be studied in a systematic way by
combining perturbative and 1/n expansions. Contrary to the euclidean approach,
confinement can be easily formulated and easily built in, if not derived, in
the variational Schroedinger approach.Comment: 21 pages, 1 figure. Lecture given at the 4th St.Petersburg Winter
School in Theoretical Physics, Feb. 22-28, 199
Rolling in the Higgs Model and Elliptic Functions
Asymptotic methods in nonlinear dynamics are used to improve perturbation
theory results in the oscillations regime. However, for some problems of
nonlinear dynamics, particularly in the case of Higgs (Duffing) equation and
the Friedmann cosmological equations, not only small oscillations regime is of
interest but also the regime of rolling (climbing), more precisely the rolling
from a top (climbing to a top). In the Friedman cosmology, where the slow
rolling regime is often used, the rolling from a top (not necessary slow) is of
interest too.
In the present work a method for approximate solution to the Higgs equation
in the rolling regime is presented. It is shown that in order to improve
perturbation theory in the rolling regime turns out to be effective not to use
an expansion in trigonometric functions as it is done in case of small
oscillations but use expansions in hyperbolic functions instead. This regime is
investigated using the representation of the solution in terms of elliptic
functions. An accuracy of the corresponding approximation is estimated.Comment: Latex, 36 Pages, 8 figures, typos correcte
Dimension two vacuum condensates in gauge-invariant theories
Gauge dependence of the dimension two condensate in Abelian and non-Abelian
Yang-Mills theory is investigated.Comment: 10 page
On Gauge Equivalence of Tachyon Solutions in Cubic Neveu-Schwarz String Field Theory
Simple analytic solution to cubic Neveu-Schwarz String Field Theory including
the sector is presented. This solution is an analog of the
Erler-Schnabl solution for bosonic case and one of the authors solution for the
pure case. Gauge transformations of the new solution to others known
solutions for the string tachyon condensation are constructed explicitly.
This gauge equivalence manifestly supports the early observed fact that these
solutions have the same value of the action density.Comment: 8 pages, LaTe