188 research outputs found
Spinor Parallel Propagator and Green's Function in Maximally Symmetric Spaces
We introduce the spinor parallel propagator for maximally symmetric spaces in
any dimension. Then, the Dirac spinor Green's functions in the maximally
symmetric spaces R^n, S^n and H^n are calculated in terms of intrinsic
geometric objects. The results are covariant and coordinate-independent.Comment: 7 page
Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
We use the AdS/CFT correspondence to calculate CFT correlation functions of
vector and spinor fields. The connection between the AdS and boundary fields is
properly treated via a Dirichlet boundary value problem.Comment: 14 pages, LaTeX2e with amsmath,amsfonts packages; v2:interactions
section corrected, reference adde
Some solutions of linearized 5-d gravity with brane
We consider linearized 5-d gravity in the Randall-Sundrum brane world. The
class of static solutions for linearized Einstein equations is found. Also we
obtaine wave solutions describing radiation from an imaginary point source
located at the Planck distance from the brane. We analyze the fields asymptotic
behavior and peculiarities of matter sources.Comment: Latex, 8 page
A relativistic iron emission line from the neutron star low-mass X-ray binary GX 3+1
We present the results of a spectroscopic study of the Fe K{\alpha} emission
of the persistent neutron-star atoll low-mass X-ray binary and type I X-ray
burster GX 3+1 with the EPIC-PN on board XMM-Newton. The source shows a flux
modulation over several years and we observed it during its fainter phase,
which corresponds to an X-ray luminosity of Lx~10^37 ergs/s. When fitted with a
two-component model, the X-ray spectrum shows broad residuals at \sim6-7 keV
that can be ascribed to an iron K{\alpha} fluorescence line. In addition, lower
energy features are observed at \sim3.3 keV, \sim3.9 keV and might originate
from Ar XVIII and Ca XIX. The broad iron line feature is well fitted with a
relativistically smeared profile. This result is robust against possible
systematics caused by instrumental pile-up effects. Assuming that the line is
produced by reflection from the inner accretion disk, we infer an inner disk
radius of \sim25 Rg and a disk inclination of 35{\deg} < i < 44{\deg}.Comment: 4 pages, 3 figures Accepted for publication in Astronomy and
Astrophysic
Propagators for p-forms in AdS_{2p+1} and correlation functions in the AdS_7/(2,0) CFT correspondence
In AdS_{2p+1} we construct propagators for p-forms whose lagrangians contain
terms of the form A / d A. In particular we explore the case of forms
satisfying ``self duality in odd dimensions'', and the case of forms with a
topological mass term. We point out that the ``complete'' set of maximally
symmetric bitensors previously used in all the other propagator papers is
incomplete - there exists another bitensor which can and does appear in the
formulas for the propagators in this particular case. Nevertheless, its
presence does not affect the other propagators computed so far.
On the AdS side of the correspondence we compute the 2 and 3 point functions
involving the self-dual tensor of the maximal 7d gauged supergravity (sugra),
S_{\mu\nu\rho}. Since the 7 dimensional antisymmetric self-dual tensor obeys
first order field equations (S + * d S=0), to get a nonvanishing 2 point
function we add a certain boundary term (to satisfy the variational principle
on a manifold with boundary) to the 7d action. The 3 point functions we compute
are of the type SSB and SBB, describing vertex interactions with the gauge
fields B_{\mu}.Comment: 21 pages, Latex file, one reference adde
Radiative corrections to W-boson hadroproduction: higher-order electroweak and supersymmetric effects
The high accuracy envisaged for future measurements of W-boson production at
hadron colliders has to be matched by precise theoretical predictions. We study
the impact of electroweak radiative corrections on W-boson production cross
sections and differential distributions at the Tevatron and at the LHC. In
particular, we include photon-induced processes, which contribute at O(alpha),
and leading radiative corrections beyond O(alpha) in the high-energy Sudakov
regime and from multi-photon final-state radiation. We furthermore present the
calculation of the complete supersymmetric next-to-leading-order electroweak
and QCD corrections to W-boson hadroproduction within the MSSM. The
supersymmetric corrections turn out to be negligible in the vicinity of the W
resonance in general, reaching the percent level only at high lepton transverse
momentum and for specific choices of the supersymmetric parameters.Comment: 30 pages, 10 figures, 2 new sections, including a comparison with
previous results on multi-photon radiation; version published in PR
Fermions on adS
We construct the Feynman propagator for Dirac fermions on anti-de Sitter space-time and present an analytic expression for the bi-spinor of parallel transport. We then renormalise the vacuum expectation value of the stress-energy tensor and end by analysing its renormalised expectation value at finite temperatures
On the complete analytic structure of the massive gravitino propagator in four-dimensional de Sitter space
With the help of the general theory of the Heun equation, this paper
completes previous work by the authors and other groups on the explicit
representation of the massive gravitino propagator in four-dimensional de
Sitter space. As a result of our original contribution, all weight functions
which multiply the geometric invariants in the gravitino propagator are
expressed through Heun functions, and the resulting plots are displayed and
discussed after resorting to a suitable truncation in the series expansion of
the Heun function. It turns out that there exist two ranges of values of the
independent variable in which the weight functions can be divided into
dominating and sub-dominating family.Comment: 21 pages, 9 figures. The presentation has been further improve
On Four-point Functions in the CFT/AdS Correspondence
We discuss the properties of four-point functions in the context of the
correspondence between a classical supergravity theory in the bulk of the Anti
de Sitter space and quantum conformal field theory at the boundary. The
contribution to a four-point function from the exchange of a scalar field of
arbitrary mass in AdS space is explicitly identified with that of the
corresponding operator in the conformal partial wave expansion of a four-point
function on the CFT side. Integral representations are found for the massless
vector and graviton exchanges. We also discuss some aspects of the four-point
functions of Tr F^2 and Tr F F^* (`dilaton' and `axion') operators in the N =4
supersymmetric Yang-Mills.Comment: 23 pages, using harvmac and epsf, three figures; v2,v3: minor
corrections; v4: argument at the end of section 5 corrected and is now
consistent with hep-th/9808006 by Freedman et a
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