35 research outputs found
On Nonlocal Modified Gravity and Cosmology
Despite many nice properties and numerous achievements, general relativity is
not a complete theory. One of actual approaches towards more complete theory of
gravity is its nonlocal modification. We present here a brief review of
nonlocal gravity with its cosmological solutions. In particular, we pay special
attention to two nonlocal models and their nonsingular bounce solutions for the
cosmic scale factor.Comment: 11 pages, Published in Springer Proceedings in Mathematics &
Statistics 111 (2014) 251-26
Cosmological perturbations in SFT inspired non-local scalar field models
We study cosmological perturbations in models with a single non-local scalar
field originating from the string field theory description of the rolling
tachyon dynamics. We construct the equation for the energy density
perturbations of the non-local scalar field and explicitly prove that for the
free field it is identical to a system of local cosmological perturbation
equations in a particular model with multiple (maybe infinitely many) local
free scalar fields.Comment: 21 pages, no figures, v3: presentation improved, results unchanged,
references adde
Phenomenology of the 1/N Expansion for Field Theories in Extra Dimensions
In this paper we review the properties of the 1/ expansion in
multidimensional theories. Contrary to the usual perturbative expansion it is
renormalizable and contains only logarithmic divergencies. The price for it is
the presence of ghost states which, however, in certain cases do not contribute
to physical amplitudes. In this case the theory is unitary and one can
calculate the cross-sections. As an example we consider the differential cross
section of elastic scattering in -dimensional world. We
look also for the unification of the gauge couplings in multidimensional
Standard Model and its SUSY extension which takes place at energies lower than
in 4 dimensions.Comment: Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 4 eps figures +
3 axodraw figure
Space-time non-commutativity tends to create bound states
We study the spectrum of fluctuations about static solutions in 1+1
dimensional non-commutative scalar field models. In the case of soliton
solutions non-commutativity leads to creation of new bound states. In the case
of static singular solutions an infinite tower of bound states is produced
whose spectrum has a striking similarity to the spectrum of confined quark
states.Comment: revtex4, 6 pages, v2: a reference adde
Supersymmetry and Integrability in Planar Mechanical Systems
We present an N=2-supersymmetric mechanical system whose bosonic sector, with
two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory
with the assumption of spatially homogeneous field configurations and a
particular ansatz imposed on the gauge potentials in the dimensional reduction
procedure. The Painleve test is adopted to discuss integrability and we focus
on the role of supersymmetry and parity invariance in two space dimensions for
the attainment of integrable or chaotic models. Our conclusion is that the
relationships among the parameters imposed by supersymmetry seem to drastically
reduce the number of possibilities for integrable interaction potentials of the
mechanical system under consideration.Comment: 20 pages, 3 figure
Anisotropic scale invariant cosmology
We study a possibility of anisotropic scale invariant cosmology. It is shown
that within the conventional Einstein gravity, the violation of the null energy
condition is necessary. We construct an example based on a ghost condensation
model that violates the null energy condition. The cosmological solution
necessarily contains at least one contracting spatial direction as in the
Kasner solution. Our cosmology is conjectured to be dual to, if any, a
non-unitary anisotropic scale invariant Euclidean field theory. We investigate
simple correlation functions of the dual theory by using the holographic
computation. After compactification of the contracting direction, our setup may
yield a dual field theory description of the winding tachyon condensation that
might solve the singularity of big bang/crunch of the universe.Comment: 12 pages, v2: reference adde
The Big Trip and Wheeler-DeWitt equation
Of all the possible ways to describe the behavior of the universe that has
undergone a big trip the Wheeler-DeWitt equation should be the most accurate --
provided, of course, that we employ the correct formulation. In this article we
start by discussing the standard formulation introduced by Gonz\'alez-D\'iaz
and Jimenez-Madrid, and show that it allows for a simple yet efficient method
of the solution's generation, which is based on the Moutard transformation.
Next, by shedding the unnecessary restrictions, imposed on aforementioned
standard formulation we introduce a more general form of the Wheeler-DeWitt
equation. One immediate prediction of this new formula is that for the universe
the probability to emerge right after the big trip in a state with will
be maximal if and only if .Comment: accepted in Astrophysics and Space Scienc
q-Deformed Conformal Quantum Mechanics
We construct a q-deformed version of the conformal quantum mechanics model of
de Alfaro, Fubini and Furlan for which the deformation parameter is complex and
the unitary time evolution of the system is preserved. We also study
differential calculus on the q-deformed quantum phase space associated with
such system.Comment: 10 pages, LaTeX, revised version with minor corrections to appear in
Phys. Rev.
On Isotropic Turbulence in the Dark Fluid Universe
As first part of this work, experimental information about the decay of
isotropic turbulence in ordinary hydrodynamics, u^2(t) proportional to
t^{-6/5}, is used as input in FRW equations in order to investigate how an
initial fraction f of turbulent kinetic energy in the cosmic fluid influences
the cosmological development in the late, quintessence/phantom, universe. First
order perturbative theory to the first order in f is employed. It turns out
that both in the Hubble factor, and in the energy density, the influence from
the turbulence fades away at late times. The divergences in these quantities
near the Big Rip behave essentially as in a non-turbulent fluid. However, for
the scale factor, the turbulence modification turns out to diverge
logarithmically. As second part of our work, we consider the full FRW equation
in which the turbulent part of the dark energy is accounted for by a separate
term. It is demonstrated that turbulence occurrence may change the future
universe evolution due to dissipation of dark energy. For instance,
phantom-dominated universe becomes asymptotically a de Sitter one in the
future, thus avoiding the Big Rip singularity.Comment: 10 pages, no figures, significant revision. Matches published versio
Exact Gravitational Shockwaves and Planckian Scattering on Branes
We obtain a solution describing a gravitational shockwave propagating along a
Randall-Sundrum brane. The interest of such a solution is twofold: on the one
hand, it is the first exact solution for a localized source on a
Randall-Sundrum three-brane. On the other hand, one can use it to study forward
scattering at Planckian energies, including the effects of the continuum of
Kaluza-Klein modes. We map out the different regimes for the scattering
obtained by varying the center-of-mass energy and the impact parameter. We also
discuss exact shockwaves in ADD scenarios with compact extra dimensions.Comment: 19 pages, 3 figures. v2: references added, minor improvements and
small errors correcte