54 research outputs found
Vector Bremsstrahlung by Ultrarelativistic Collisions in Higher Dimensions
A classical computation of vector bremsstrahlung in ultrarelativistic
gravitational-force collisions of massive point particles is presented in an
arbitrary number d of extra dimensions. Our method adapts the post-linear
formalism of General Relativity to the multidimensional case. The total emitted
energy, as well as its angular and frequency distribution and characteristic
values, are discussed in detail.
For an electromagnetic mediation propagated in the bulk, the emitted energy
of scattering with impact parameter b has magnitude , with dominant frequency . For the gravitational force the charge emits via vector field,
propagated in the bulk, energy
for , with dominant frequency and energy
for , with most of the
energy coming from a wide frequency region . For the UED model with extra space volume the emitted energy
is . Finally, for the ADD model, including
four dimensions, the electromagnetic field living on 3-brane, loses on emission
the energy , with characteristic
frequency .
The contribution of the low frequency part of the radiation (soft photons) to
the total radiated energy is shown to be negligible for all values of d. The
domain of validity of the classical result is discussed. The result is analyzed
from the viewpoint of the deWitt - Brehme - Hobbs equation (and corresponding
equations in higher dimensions).Comment: 39 pages, 4 figure
Piercing of domain walls: new mechanism of gravitational radiation
Domain wall (DW) moving in media undergoes the friction force due to particle
scattering. However certain particles are not scattered, but perforate the
wall. As a result, the wall gets excited in the form of the branon wave, while
the particle experiences an acceleration jump. This gives rise to generation of
gravitational waves which we call "piercing gravitational radiation" (PGR).
Though this effect is of higher order in the gravitational constant than the
quadrupole radiation from the collapsing DWs, its amplitude is enhanced in the
case of relativistic particles or photons because of absence of the velocity
factor which is present in the quadrupole formula. We derive the
spectral-angular distribution of PGR within the simplified model of the weakly
gravitating particle-wall system in Minkowski space-time of arbitrary
dimensions. Within this model the radiation amplitude is obtained analytically.
The spectral-angular distribution of PGR in such an approach suffers from
infrared and ultraviolet divergences as well as from collinear divergence in
the case of a massless perforating particle. Different cut-off schemes
appropriate in various dimensions are discussed. Our results are applicable
both to cosmological DWs and to the braneworld models.Comment: 30 pages, 8 figure
Radiation reaction in curved space-time: local method
Although consensus seems to exist about the validity of equations accounting
for radiation reaction in curved space-time, their previous derivations were
criticized recently as not fully satisfactory: some ambiguities were noticed in
the procedure of integration of the field momentum over the tube surrounding
the world-line. To avoid these problems we suggest a purely local derivation
dealing with the field quantities defined only {\em on the world-line}. We
consider point particle interacting with scalar, vector (electromagnetic) and
linearized gravitational fields in the (generally non-vacuum) curved
space-time. To properly renormalize the self-action in the gravitational case,
we use a manifestly reparameterization-invariant formulation of the theory.
Scalar and vector divergences are shown to cancel for a certain ratio of the
corresponding charges. We also report on a modest progress in extending the
results for the gravitational radiation reaction to the case of non-vacuum
background.Comment: 10 pages, ws-procs9x6, published in "Gravitation and Astrophysics",
Proceedings of the VII Asia-Pacific International Conference National Central
University, Taiwan 23 - 26 November 2005, ed. J.M. Nester, C.-M. Chen, J.-P.
Hsu. World Scientific, 2006, pp. 345-35
Casimir interaction of finite-width strings
Within the trln-formalism we investigate the vacuum interaction of cosmic
strings and the influence of strings width on this effect. For the massless
real scalar field we compute the Casimir contribution into the total vacuum
energy. The dimensional-regularization technique is used. It is shown that the
regularized Casimir term contains neither the UV-divergences, nor the
divergences related with the non-integrability of the renormalized vacuum mean
of the energy-momentum tensor.Comment: 3 figure
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