180 research outputs found
ICTP Lectures on Large Extra Dimensions
I give a brief and elementary introduction to braneworld models with large
extra dimensions. Three conceptually distinct scenarios are outlined: (i) Large
compact extra dimensions; (ii) Warped extra dimensions; (iii) Infinite-volume
extra dimensions. As an example I discuss in detail an application of (iii) to
late-time cosmology and the acceleration problem of the Universe.Comment: 39 LaTex pgs; 6 ps figures; Based on lectures given at Summer School
on Astroparticle Physics and Cosmology Triese, Italy, June 17 -- July 5, 200
Looking At The Cosmological Constant From Infinite--Volume Bulk
I briefly review the arguments why the braneworld models with infinite-volume
extra dimensions could solve the cosmological constant problem, evading
Weinberg's no-go theorem. Then I discuss in detail the established properties
of these models, as well as the features which should be studied further in
order to conclude whether these models can truly solve the problem. This
article is dedicated to the memory of Ian Kogan.Comment: 64 pages, 4 figures; To appear in Ian Kogan Memorial Volume, ``From
Fields to Strings: Circumnavigating Theoretical Physics'', M. Shifman, A.
Vainshtein, and J. Wheater, eds. (World Scientific, 2004
The Big Constant Out, The Small Constant In
Some time ago, Tseytlin has made an original and unusual proposal for an
action that eliminates an arbitrary cosmological constant. The form of the
proposed action, however, is strongly modified by gravity loop effects, ruining
its benefit. Here I discuss an embedding of Tseytlin's action into a broader
context, that enables to control the loop effects. The broader context is
another universe, with its own metric and dynamics, but only globally connected
to ours. One possible Lagrangian for the other universe is that of unbroken AdS
supergravity. A vacuum energy in our universe does not produce any curvature
for us, but instead increases or decreases the AdS curvature in the other
universe. I comment on how to introduce the accelerated expansion in this
framework in a technically natural way, and consider the case where this is
done by the self-accelerated solutions of massive gravity and its extensions.Comment: 14 pages; a brief paragraph unfolded; 3 refs added; minor
improvement
(De)coupling Limit of DGP
We investigate the decoupling limit in the DGP model of gravity by studying
its nonlinear equations of motion. We show that, unlike 4D massive gravity, the
limiting theory does not reduce to a sigma model of a single scalar field:
Non-linear mixing terms of the scalar with a tensor also survive. Because of
these terms physics of DGP is different from that of the scalar sigma model. We
show that the static spherically-symmetric solution of the scalar model found
in hep-th/0404159, is not a solution of the full set of nonlinear equations. As
a consequence of this, the interesting result on hidden superluminality
uncovered recently in the scalar model in hep-th/0602178, is not applicable to
the DGP model of gravity. While the sigma model violates positivity constraints
imposed by analyticity and the Froissart bound, the latter cannot be applied
here because of the long-range tensor interactions that survive in the
decoupling limit. We discuss further the properties of the Schwarzschild
solution that exhibits the gravitational mass-screening phenomenon.Comment: 14 pages; v2: typos corrected, footnote added, to apppear in PL
Holographic CBK Relation
The Crewther-Broadhurst-Kataev (CBK) relation connects the Bjorken function
for deep-inelastic sum rules (or the Gross - Llewellyn Smith function) with the
Adler function for electron-positron annihilation in QCD; it has been checked
to hold up to four loops in perturbation theory. Here we study non-perturbative
terms in the CBK relation using a holographic dual theory that is believed to
capture properties of QCD. We show that for the large invariant momenta the
perturbative CBK relation is exactly satisfied. For the small momenta
non-perturbative corrections enter the relation and we calculate their
significant effects. We also give an exact holographic expression for the
Bjorken function, as well as for the entire three-point axial-vector-vector
correlation function, and check their consistency in the conformal limit.Comment: 16 latex pages, 4 figures; v2: comments and references added; a
remark about Schwinger's paper corrected; to appear in PL
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