221 research outputs found
Large N Gauge Theories and Anti-de Sitter Bag Model
Using a proposal of Maldacena one describes the large N limit of gauge
theories in terms of supergravity solutions on anti-de Sitter space. From this
point of view we discuss a possible scenario for quark confinement in gauge
theory by describing hadrons as strongly curved universes. In particular an
interpretation of black hole as a bag model in SQCD is discussed. One relates
the mystery of curvature singularities in classical general relativity with the
mystery of quark confinement. The AdS bag model is defined by computing the
probe membrane action in supergravity background. It naturally implies the
"Cheshire Cat bag" principle. The confining pressure in the MIT bag model is
related with the cosmological constant in the AdS bag model. The Skyrme model
is interpreted as an effective theory describing black holes.Comment: 6 pages, Late
Planckian Energy Scattering of D-branes and M(atrix) Theory in Curved Space
We argue that black p-branes will occur in the collision of D0-branes at
Planckian energies. This extents the Amati, Ciafaloni and Veneziano and 't
Hooft conjecture that black holes occur in the collision of two light particles
at Planckian energies. We discuss a possible scenario for such a process by
using colliding plane gravitational waves. D-branes in the presence of black
holes are discussed. M(atrix) theory and matrix string in curved space are
considered. A violation of quantum coherence in M(atrix) theory is noticed.Comment: 5 pages, Late
Affine Strings
A new model of bosonic strings is considered. An action of the model is the
sum of the standard string action and a term describing an interaction of a
metric with a linear (affine) connection. The Lagrangian of this interaction is
an arbitrary analytic function of the scalar curvature. This is a
classically integrable model. The space of classical solutions of the theory
consists from sectors with constant curvature. In each sector the equations of
motion reduce to the standard string equations and to an additional constant
curvature equation for the linear connection. A bifurcation in the space of all
Lagrangians takes place. Quantization of the model is briefly discussed. In a
quasiclassical approximation one gets the standard string model with a
fluctuating cosmological constant. The Lagrangian , like Morse function,
governs transitions between manifolds with different topologies.Comment: 9 pages, SMI-2-9
On the Second Quantization of M(atrix) Theory
The second quantization of M(atrix) theory in the free (Boltzmannian) Fock
space is considered. It provides a possible framework to the recent Susskind
proposal that U(N) supersymmetic Yang-Mills theories for all N might be
embedded in a single dynamical system. The second quantization of M(atrix)
theory can also be useful for the study of the Lorentz symmetry and for the
consideration of processes with creation and annihilation of D-branes.Comment: 3 pages, Latex, an explicit expression for the interaction
Hamiltonian in the Boltzmannian Fock space is give
Models of Quantum Computers and Decoherence Problem
Mathematical models of quantum computers such as a multidimensional quantum
Turing machine and quantum circuits are described and its relations with
lattice spin models are discussed. One of the main open problems one has to
solve if one wants to build a quantum computer is the decoherence due to the
coupling with the environment. We propose a possible solution of this problem
by using a control of parameters of the system. This proposal is based on the
analysis of the spin-boson Hamiltonian performed in the stochastic limit
approximation.Comment: 14 pages, Latex, Invited talk at the International Conference on
Quantum Information, Meijo University, Nagoya, 4-8 Nov.1997, To be published
in Proc. of the Conferenc
D-branes, Black Holes and Gauge Theory
We discuss an application of the known in QCD large expansion to strings
and supermembranes in the strong coupling. In particular we use the recently
obtained master field describing gauge theory to argue that
quantum extreme black holes obey quantum Boltzmann (infinite) statistics. This
supports a topological argument by Strominger that black holes obey infinite
statistics. We also speculate on a formulation of -theory of strings and
p-branes as theory of Grothendieck's motives. The partition function is
expressed in terms of -function of a motive. The Beilinson conjectures on
the values of -functions are interpreted as dealing with the cosmological
constant problem.Comment: 4 pages, latex. Invited talk at the Second International Sakharov
Conference on Physics, Moscow, May 199
Quantum white noise with singular non-linear interaction
A model of a system driven by quantum white noise with singular quadratic
self--interaction is considered and an exact solution for the evolution
operator is found. It is shown that the renormalized square of the squeezed
classical white noise is equivalent to the quantum Poisson process. We describe
how equations driven by nonlinear functionals of white noise can be derived in
nonlinear quantum optics by using the stochastic approximation.Comment: 8 pages, Late
Metric Fluctuations in Brane Worlds
Recently a realization of the four-dimensional gravity on a brane in
five-dimensional spacetime has been discussed. Randall and Sundrum have shown
that the equation for the longitudinal components of the metric fluctuations
admit a normalizable zero mode solution, which has been interpreted as the
localized gravity on the brane. We point out that the equation for the
transverse components of the metric fluctuations has a solutions which is not
localized on the brane. This indicates that probably the effective theory is
unstable or, in other words, actually it is not four-dimensional but
five-dimensional. Perhaps a modification of the proposal by using matter fields
can lead to the trapping of gravity to the brane.Comment: 6 pages, LaTeX, Missed term in eq.(15) is added, which does not
change the resul
Quantum Multipole Noise and Generalized Quantum Stochastic Equations
A notion of quantum multipole (in particular, dipole) noise is considered.
Quantum dipole noise is an analogue of quantum white noise but it acts in a
Fock space with indefinite metric. Quantum {\it white} noise describes the
leading term in the stochastic limit approximation to quantum dynamics while
quantum {\it multipole} noise describes the corrections to the leading term. We
obtain and study the generalized quantum stochastic equations describing
corrections to the stochastic limit which include quantum dipole noise.Comment: Replaced with version published in IDAQP. Terminology is change
Cosmological Daemon
Classical versions of the Big Bang cosmological models of the universe
contain a singularity at the start of time, hence the time variable in the
field equations should run over a half-line. Nonlocal string field theory
equations with infinite number of derivatives are considered and an important
difference between nonlocal operators on the whole real line and on a half-line
is pointed out.
We use the heat equation method and show that on the half-line in addition to
the usual initial data a new arbitrary function (external source) occurs that
we call the daemon function. The daemon function governs the evolution of the
universe similar to Maxwell`s demon in thermodynamics. The universe and
multiverse are open systems interacting with the daemon environment. In the
simplest case the nonlocal scalar field reduces to the usual local scalar field
coupled with an external source which is discussed in the stochastic approach
to inflation. The daemon source can help to get the chaotic inflation scenario
with a small scalar field.Comment: LATEX, 31 pages, Sect. "Inflation and External Sources" and refs. are
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