612 research outputs found
Quantum Potential and Quantum Gravity
The quantum potential approach makes it possible to construct a complementary
picture of quantum mechanical evolution which reminds classical equation of
motion. The only difference as compared to equations of motion for the
underlying classical system is the presence of an additional potential term
being a functional of the real part of the wavefunction. In the present paper
this approach is applied to the quantum theory of gravity based on Wheeler --
De Witt equation. We describe the derivation of the `quantum Einstein equation'
and discuss the new features of their solutions.Comment: 12 pages LaTeX, to appear in From Field Theory to Quantum Groups.
Birthday volume dedicated to Jerzy Lukierski, World Scientifi
Scalar field theory on -Minkowski space-time and Doubly Special Relativity
In this paper we recall the construction of scalar field action on
-Minkowski space-time and investigate its properties. In particular we
show how the co-product of -Poincar\'e algebra of symmetries arises
from the analysis of the symmetries of the action, expressed in terms of
Fourier transformed fields. We also derive the action on commuting space-time,
equivalent to the original one. Adding the self-interaction term we
investigate the modified conservation laws. We show that the local interactions
on -Minkowski space-time give rise to 6 inequivalent ways in which
energy and momentum can be conserved at four-point vertex. We discuss the
relevance of these results for Doubly Special Relativity.Comment: 17 pages; some editing done, final version to be published in Int. J.
Mod. Phys.
On the definition of velocity in doubly special relativity theories
We discuss the definition of particle velocity in doubly relativity theories.
The general formula relating velocity and four-momentum of particle is given.Comment: 7 page
Topological Black Holes in Quantum Gravity
We derive the black hole solutions with horizons of non-trivial topology and
investigate their properties in the framework of an approach to quantum gravity
being an extension of Bohm's formulation of quantum mechanics. The solutions we
found tend asymptotically (for large ) to topological black holes. We also
analyze the thermodynamics of these space-times.Comment: 4pages, no figures, plain LaTe
Deformed Carroll particle from 2+1 gravity
We consider a point particle coupled to 2+1 gravity, with de Sitter gauge
group SO(3,1). We observe that there are two contraction limits of the gauge
group: one resulting in the Poincare group, and the second with the gauge group
having the form AN(2) \ltimes \an(2)^*. The former case was thoroughly
discussed in the literature, while the latter leads to the deformed particle
action with de Sitter momentum space, like in the case of kappa-Poincare
particle. However, the construction forces the mass shell constraint to have
the form p_0^2 = m^2, so that the effective particle action describes the
deformed Carroll particle.Comment: 10 page
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