846 research outputs found
Practical tools for third order cosmological perturbations
We discuss cosmological perturbation theory at third order, deriving the
gauge transformation rules for metric and matter perturbations, and
constructing third order gauge invariant quantities. We present the Einstein
tensor components, the evolution equations for a perfect fluid, and the
Klein-Gordon equation at third order, including scalar, vector and tensor
perturbations. In doing so, we also give all second order tensor components and
evolution equations in full, exhilarating generality.Comment: 17 pages, revtex4; v2: corresponds to version published in JCA
(B-L) Symmetry vs. Neutrino Seesaw
We compute the effective coupling of the Majoron to W bosons at \cO(\hbar)
by evaluating the matrix element of the (B-L) current between the vacuum and a
state. The (B-L) anomaly vanishes, but the amplitude does not vanish
as a result of a UV finite and non-local contribution which is entirely due to
the mixing between left-chiral and right-chiral neutrinos. The result shows how
anomaly-like couplings may arise in spite of the fact that the (B-L) current
remains exactly conserved to all orders in , lending additional support
to our previous proposal to identify the Majoron with the axion.Comment: 13 pages, 1 figure, with additional explanations and clarification
Modelling non-dust fluids in cosmology
Currently, most of the numerical simulations of structure formation use
Newtonian gravity. When modelling pressureless dark matter, or `dust', this
approach gives the correct results for scales much smaller than the
cosmological horizon, but for scenarios in which the fluid has pressure this is
no longer the case. In this article, we present the correspondence of
perturbations in Newtonian and cosmological perturbation theory, showing exact
mathematical equivalence for pressureless matter, and giving the relativistic
corrections for matter with pressure. As an example, we study the case of
scalar field dark matter which features non-zero pressure perturbations. We
discuss some problems which may arise when evolving the perturbations in this
model with Newtonian numerical simulations and with CMB Boltzmann codes.Comment: 5 pages; v2: typos corrected and refs added, submitted version; v3:
version to appear in JCA
The check of QCD based on the tau-decay data analysis in the complex q^2-plane
The thorough analysis of the ALEPH data on hadronic tau-decay is performed in
the framework of QCD. The perturbative calculations are performed in 3 and
4-loop approximations. The terms of the operator product expansion (OPE) are
accounted up to dimension D=8. The value of the QCD coupling constant
alpha_s(m_tau^2)=0.355 pm 0.025 was found from hadronic branching ratio R_tau.
The V+A and V spectral function are analyzed using analytical properties of
polarization operators in the whole complex q^2-plane. Borel sum rules in the
complex q^2 plane along the rays, starting from the origin, are used. It was
demonstrated that QCD with OPE terms is in agreement with the data for the
coupling constant close to the lower error edge alpha_s(m_tau^2)=0.330. The
restriction on the value of the gluonic condensate was found
=0.006 pm 0.012 GeV^2. The analytical perturbative QCD was
compared with the data. It is demonstrated to be in strong contradiction with
experiment. The restrictions on the renormalon contribution were found. The
instanton contributions to the polarization operator are analyzed in various
sum rules. In Borel transformation they appear to be small, but not in spectral
moments sum rules.Comment: 24 pages; 1 latex + 13 figure files. V2: misprints are corrected,
uncertainty in alpha_s is explained in more transparent way, acknowledgement
is adde
Enhanced mesoscopic fluctuations in the crossover between random matrix ensembles
In random-matrix ensembles that interpolate between the three basic ensembles
(orthogonal, unitary, and symplectic), there exist correlations between
elements of the same eigenvector and between different eigenvectors. We study
such correlations, using a remarkable correspondence between the interpolating
ensembles late in the crossover and a basic ensemble of finite size. In small
metal grains or semiconductor quantum dots, the correlations between different
eigenvectors lead to enhanced fluctuations of the electron-electron interaction
matrix elements which become parametrically larger than the non-universal
fluctuations.Comment: 4 pages, RevTeX; 3 figure
Orbital and spin contributions to the -tensors in metal nanoparticles
We present a theoretical study of the mesoscopic fluctuations of -tensors
in a metal nanoparticle. The calculations were performed using a semi-realistic
tight-binding model, which contains both spin and orbital contributions to the
-tensors. The results depend on the product of the spin-orbit scattering
time and the mean-level spacing , but are
otherwise weakly affected by the specific shape of a {\it generic}
nanoparticle. We find that the spin contribution to the -tensors agrees with
Random Matrix Theory (RMT) predictions. On the other hand, in the strong
spin-orbit coupling limit , the
orbital contribution depends crucially on the space character of the
quasi-particle wavefunctions: it levels off at a small value for states of
character but is strongly enhanced for states of character. Our numerical
results demonstrate that when orbital coupling to the field is included, RMT
predictions overestimate the typical -factor of orbitals that have dominant
-character. This finding points to a possible source of the puzzling
discrepancy between theory and experiment.Comment: 21 pages, 6 figures; accepted for publication in Physical Review
Localized D-dimensional global k-defects
We explicitly demonstrate the existence of static global defect solutions of
arbitrary dimensionality whose energy does not diverge at spatial infinity, by
considering maximally symmetric solutions described by an action with
non-standard kinetic terms in a D+1 dimensional Minkowski space-time. We
analytically determine the defect profile both at small and large distances
from the defect centre. We verify the stability of such solutions and discuss
possible implications of our findings, in particular for dark matter and charge
fractionalization in graphene.Comment: 6 pages, published versio
Supersymmetry with a Chargino NLSP and Gravitino LSP
We demonstrate that the lightest chargino can be lighter than the lightest
neutralino in supersymmetric models with Dirac gaugino masses as well as within
a curious parameter region of the MSSM. Given also a light gravitino, such as
from low scale supersymmetry breaking, this mass hierarchy leads to an unusual
signal where every superpartner cascades down to a chargino that decays into an
on-shell W and a gravitino, possibly with a macroscopic chargino track. We
clearly identify the region of parameters where this signal can occur. We find
it is generic in the context of the R-symmetric supersymmetric standard model,
whereas it essentially only occurs in the MSSM when sign(M1) is not equal to
sign(M2) = sign(\mu) and tan(beta) is small. We briefly comment on the search
strategies for this signal at the LHC.Comment: 27 pages and 16 figure
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