25,715 research outputs found
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
From propagators to glueballs in the Gribov-Zwanziger framework
Over the last years, lattice calculations in pure Yang-Mills gauge theory
seem to have come more or less to a consensus. The ghost propagator is not
enhanced and the gluon propagator is positivity violating, infrared suppressed
and non-vanishing at zero momentum. From an analytical point of view, several
groups are agreeing with these results. Among them, the refined
Gribov-Zwanziger (RGZ) framework also accommodates for these results. The
question which rises next is, if our models hold the right form for the
propagators, how to extract information on the real physical observables, i.e.
the glueballs? How do the operators which represent glueballs look like? We
review the current status of this matter within the RGZ framework.Comment: 3 pages, Conference contribution for Confinement IX, Madrid 2010
(30/08-03/09), to appear in American Institute of Physics (AIP
The status and programs of the New Relativity Theory
A review of the most recent results of the New Relativity Theory is
presented. These include a straightforward derivation of the Black Hole
Entropy-Area relation and its corrections; the derivation of the
string uncertainty relations and generalizations ; ; the relation between the
four dimensional gravitational conformal anomaly and the fine structure
constant; the role of Noncommutative Geometry, Negative Probabilities and
Cantorian-Fractal spacetime in the Young's two-slit experiment. We then
generalize the recent construction of the Quenched-Minisuperspace bosonic
-brane propagator in dimensions ( [18]) to the full
multidimensional case involving all -branes : the construction of the
Multidimensional-Particle propagator in Clifford spaces (-spaces) associated
with a nested family of -loop histories living in a target -dim
background spacetime . We show how the effective -space geometry is related
to curvature of ordinary spacetime. The motion of rigid
particles/branes is studied to explain the natural of classical
spin. The relation among -space geometry and , Finsler Geometry
and (Braided) Quantum Groups is discussed. Some final remarks about the
Riemannian long distance limit of -space geometry are made.Comment: Tex file, 21 page
Infrared Maximally Abelian Gauge
The confinement scenario in Maximally Abelian gauge (MAG) is based on the
concepts of Abelian dominance and of dual superconductivity. Recently, several
groups pointed out the possible existence in MAG of ghost and gluon condensates
with mass dimension 2, which in turn should influence the infrared behavior of
ghost and gluon propagators. We present preliminary results for the first
lattice numerical study of the ghost propagator and of ghost condensation for
pure SU(2) theory in the MAG.Comment: 3 pages, 4 figures; work presented at QCHS7 in Ponta Delgada (PT)
Sept 2-7, 200
The Laplacian Gauge Gluon Propagator in SU(N_c)
We examine the gluon propagator in the Laplacian gauge in quenched lattice
QCD as a function of the number of colours. We observe a weak dependence on
over the whole momentum range. This implies an almost -independent
gluon pole mass in units of the string tension.Comment: 5 pages, 7 figures. A study of the gluon propagator in SU(4) for
various lattice sizes was added. Extended version to appear in Phys. Rev.
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