229 research outputs found
Effective Lagrangian and Quantum Screening in Charged Condensate
A condensate of charged scalars in a neutralizing background of fermions
(e.g., condensed helium-4 nuclei in an electron background in white dwarf
cores) is investigated further. We discuss an effective Lagrangian approach to
this system and show that the strong screening of an electric charge found
previously in arXiv:0806.3692 in a mean-field approximation, is a consequence
of a cancellation due to a phonon. The resulting propagators contain terms that
strongly modify their infrared behavior. Furthermore, we evaluate a one-loop
fermion quantum correction to the screened potential, and find that it is also
suppressed by the phonon subtraction. Therefore, charged impurities (e.g.,
hydrogen or helium-3 nuclei) will be screened efficiently by the condensate.Comment: 1+16 pages; v2: typos & minor improvements; v3: one reference and one
footnote added; two comments streamline
A Trouble with Ho\v{r}ava-Lifshitz Gravity
We study the structure of the phase space in Ho\v{r}ava-Lifshitz theory. With
the constraints derived from the action, the phase space is described by five
fields, thus there is a lack of canonical structure. The Poisson brackets of
the Hamiltonian density do not form a closed structure, resulting in many new
constraints. Taking these new constraints into account, it appears that there
is no degree of freedom left, or the phase space is reduced to one with an odd
number of fields.Comment: 12 pages, some discussions, comments and references added, JHEP styl
The Cosmological Constant and Horava-Lifshitz Gravity
Horava-Lifshitz theory of gravity with detailed balance is plagued by the
presence of a negative bare (or geometrical) cosmological constant which makes
its cosmology clash with observations. We argue that adding the effects of the
large vacuum energy of quantum matter fields, this bare cosmological constant
can be approximately compensated to account for the small observed (total)
cosmological constant. Even though we cannot address the fine-tuning problem in
this way, we are able to establish a relation between the smallness of observed
cosmological constant and the length scale at which dimension 4 corrections to
the Einstein gravity become significant for cosmology. This scale turns out to
be approximately 5 times the Planck length for an (almost) vanishing observed
cosmological constant and we therefore argue that its smallness guarantees that
Lorentz invariance is broken only at very small scales. We are also able to
provide a first rough estimation for the infrared values of the parameters of
the theory and .Comment: 9 pages, Late
Tensorial perturbations in the bulk of inflating brane worlds
In this paper we consider the stability of some inflating brane-world models
in quantum cosmology. It is shown that whereas the singular model based on the
construction of inflating branes from Euclidean five-dimensional anti-de Sitter
space is unstable to tensorial cosmological perturbations in the bulk, the
nonsingular model which uses a five-dimensional asymptotically anti-de Sitter
wormhole to construct the inflating branes is stable to these perturbations.Comment: 4 pages, RevTex, to appear in Phys. Rev.
Molecular regimes in ultracold Fermi gases
The use of Feshbach resonances for tuning the interparticle interaction in
ultracold Fermi gases has led to remarkable developments, in particular to the
creation and Bose-Einstein condensation of weakly bound diatomic molecules of
fermionic atoms. These are the largest diatomic molecules obtained so far, with
a size of the order of thousands of angstroms. They represent novel composite
bosons, which exhibit features of Fermi statistics at short intermolecular
distances. Being highly excited, these molecules are remarkably stable with
respect to collisional relaxation, which is a consequence of the Pauli
exclusion principle for identical fermionic atoms. The purpose of this review
is to introduce theoretical approaches and describe the physics of molecular
regimes in two-component Fermi gases and Fermi-Fermi mixtures, focusing
attention on quantum statistical effects.Comment: Chapter of the book: "Cold Molecules: Theory, Experiment,
Applications" edited by R. V. Krems, B. Friedrich and W. C. Stwalley
(publication expected in March 2009
The impact of QCD plasma instabilities on bottom-up thermalization
QCD plasma instabilities, caused by an anisotropic momentum distributions of
the particles in the plasma, are likely to play an important role in
thermalization in heavy ion collisions. We consider plasmas with two different
components of particles, one strongly anisotropic and one isotropic or nearly
isotropic. The isotropic component does not eliminate instabilities but it
decreases their growth rates. We investigate the impact of plasma instabilities
on the first stage of the ``bottom-up'' thermalization scenario in which such a
two-component plasma emerges, and find that even in the case of non-abelian
saturation instabilities qualitatively change the bottom-up picture.Comment: 12 pages, latex, one typo corrected, several minor changes in the
abstract and the text, to appear in JHE
A kinetic theory of diffusion in general relativity with cosmological scalar field
A new model to describe the dynamics of particles undergoing diffusion in
general relativity is proposed. The evolution of the particle system is
described by a Fokker-Planck equation without friction on the tangent bundle of
spacetime. It is shown that the energy-momentum tensor for this matter model is
not divergence-free, which makes it inconsistent to couple the Fokker-Planck
equation to the Einstein equations. This problem can be solved by postulating
the existence of additional matter fields in spacetime or by modifying the
Einstein equations. The case of a cosmological scalar field term added to the
left hand side of the Einstein equations is studied in some details. For the
simplest cosmological model, namely the flat Robertson-Walker spacetime, it is
shown that, depending on the initial value of the cosmological scalar field,
which can be identified with the present observed value of the cosmological
constant, either unlimited expansion or the formation of a singularity in
finite time will occur in the future. Future collapse into a singularity also
takes place for a suitable small but positive present value of the cosmological
constant, in contrast to the standard diffusion-free scenario.Comment: 17 pages, no figures. The present version corrects an erroneous
statement on the physical interpretation of the results made in the original
publicatio
Dissipative dynamics of vortex arrays in anisotropic traps
We discuss the dissipative dynamics of vortex arrays in trapped
Bose-condensed gases and analyze the lifetime of the vortices as a function of
trap anisotropy and the temperature. In particular, we distinguish the two
regimes of the dissipative dynamics, depending on the relative strength of the
mutual friction between the vortices and the thermal component, and the
friction of the thermal particles on the trap anisotropy. We study the effects
of heating of the thermal cloud by the escaping vortices on the dynamics of the
system.Comment: RevTeX, 8 pages, 3 eps figure
Gauged Lifshitz scalar field theories in two dimensions
We present two-dimensional gauged Lifshitz scalar field theories by
considering the duality relation between the source current and the Noether
current. Requiring the duality partially, we obtain a gauged model which
recovers the bosonized Schwinger model for the IR limit. For the exact duality,
however, the source current is not conserved, which means that the resulting
theory is anomalous, so that the number of degrees of freedom is increased. The
second model is consistently formulated by adding the Wess-Zumino type action
to maintain the gauge invariance.Comment: 11 page
Quantum corrected geodesics
We compute the graviton-induced corrections to the trajectory of a classical
test particle. We show that the motion of the test particle is governed by an
effective action given by the expectation value (with respect to the graviton
state) of the classical action. We analyze the quantum corrected equations of
motion for the test particle in two particular backgrounds: a Robertson Walker
spacetime and a 2+1 dimensional spacetime with rotational symmetry. In both
cases we show that the quantum corrected trajectory is not a geodesic of the
background metric.Comment: LaTeX file, 15 pages, no figure
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