14 research outputs found
On the Problem of Vacuum Energy in FLRW Universes and Dark Energy
We present a (hopefully) novel calculation of the vacuum energy in expanding
FLRW spacetimes based on the renormalization of quantum field theory in
non-zero backgrounds. We compute the renormalized effective action up to the
point function and then apply the formalism to the cosmological backgrounds
of interest. As an example we calculate for quasi de Sitter spacetimes the
leading correction to the vacuum energy given by the tadpole diagram and show
that it behaves as where is the Hubble
constant and is the Planck constant. This is of the same
order of magnitude as the observed dark energy density in the universe.Comment: 5 pages, 1 figure; v2: reorganization of the presentation and minor
changes and comments adde
The fate of the Wilson-Fisher fixed point in non-commutative \phi^4
In this article we study non-commutative vector sigma model with the most
general \phi^4 interaction on Moyal-Weyl spaces. We compute the 2- and 4-point
functions to all orders in the large N limit and then apply the approximate
Wilson renormalization group recursion formula to study the renormalized
coupling constants of the theory. The non-commutative Wilson-Fisher fixed point
interpolates between the commutative Wilson-Fisher fixed point of the Ising
universality class which is found to lie at zero value of the critical coupling
constant a_* of the zero dimensional reduction of the theory, and a novel
strongly interacting fixed point which lies at infinite value of a_*
corresponding to maximal non-commutativity beyond which the two-sheeted
structure of a_* as a function of the dilation parameter disappears.Comment: 19 pages, 7 figures, v2:one reference adde
Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
We present a series of new solutions in five-dimensional
Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling
and a cosmological constant . For general and
we give various generalizations of the Bertotti-Robinson solutions
supported by electric and magnetic fluxes, some of which presumably describe
the near-horizon regions of black strings or black rings. Among them there is a
solution which could apply to the horizon of a topological AdS black ring in
gauged minimal supergravity. Others are horizonless and geodesically complete.
We also construct extremal asymptotically flat multi-string solutions for
and arbitrary .Comment: 17 pages, revtex
generating technique for minimal D=5 supergravity and black rings
A solution generating technique is developed for D=5 minimal supergravity
with two commuting Killing vectors based on the U-duality arising in the
reduction of the theory to three dimensions. The target space of the
corresponding 3-dimensional sigma-model is the coset . Its isometries constitute the set of solution generating symmetries.
These include two electric and two magnetic Harrison transformations with the
corresponding two pairs of gauge transformations, three -duality
transformations, and the three gravitational scale, gauge and Ehlers
transformations (altogether 14). We construct a representation of the coset in
terms of matrices realizing the automorphisms of split octonions.
Generating a new solution amounts to transforming the coset matrices by
one-parametric subgroups of and subsequently solving the dualization
equations. Using this formalism we derive a new charged black ring solution
with two independent parameters of rotation.Comment: 21 pages revtex-4, 1 figure, typo corrected in Eq. (103
Black hole mass and angular momentum in topologically massive gravity
We extend the Abbott-Deser-Tekin approach to the computation of the Killing
charge for a solution of topologically massive gravity (TMG) linearized around
an arbitrary background. This is then applied to evaluate the mass and angular
momentum of black hole solutions of TMG with non-constant curvature
asymptotics. The resulting values, together with the appropriate black hole
entropy, fit nicely into the first law of black hole thermodynamics.Comment: 20 pages, references added, version to appear in Classical and
Quantum Gravit
Topics on Gravity Outside of Four Dimensions
The thesis is divided into two loosely connected parts: the first one is concerned with three dimensional Topologically massive gravity (TMG) and the other is devoted to generating solutions of black objects within five minimal dimensional supergravity theory (mSUGRA5)
Bertotti-Robinson and soliton string solutions of minimal supergravity
25 pages, revtex4International audienceWe report on a series of new solutions to five-dimensional minimal supergravity. Our method applies to space-times with two commuting Killing symmetries and consists in combining dimensional reduction on two-spaces of constant curvature with reduction on a two-torus. The first gives rise to various generalized Bertotti-Robinson solutions supported by electric and magnetic fluxes, which presumably describe the near-horizon regions of black holes and black rings (strings). The second provides generating techniques based on U-duality of the corresponding three-dimensional sigma model. We identify duality transformations relating the above solutions to asymptotically flat ones and obtain new globally regular dyonic solitons. Some new extremal asymptotically flat multi-center solutions are constructed too. We also show that geodesic solutions of three-dimensional sigma models passing through the same target space point generically split into disjoint classes which cannot be related by the isotropy subgroup of U-duality