354 research outputs found
Cosmography: Cosmology without the Einstein equations
How much of modern cosmology is really cosmography? How much of modern
cosmology is independent of the Einstein equations? (Independent of the
Friedmann equations?) These questions are becoming increasingly germane -- as
the models cosmologists use for the stress-energy content of the universe
become increasingly baroque, it behoves us to step back a little and carefully
disentangle cosmological kinematics from cosmological dynamics. The use of
basic symmetry principles (such as the cosmological principle) permits us to do
a considerable amount, without ever having to address the vexatious issues of
just how much "dark energy", "dark matter", "quintessence", and/or "phantom
matter" is needed in order to satisfy the Einstein equations. This is the
sub-sector of cosmology that Weinberg refers to as "cosmography", and in this
article I will explore the extent to which cosmography is sufficient for
analyzing the Hubble law and so describing many of the features of the universe
around us.Comment: 7 pages; uses iopart.cls setstack.sty. Based on a talk presented at
ACRGR4, the 4th Australasian Conference on General Relativity and
Gravitation, Monash University, Melbourne, January 2004. To appear in the
proceedings, in General Relativity and Gravitatio
Weisskopf-Wigner Decay Theory for the Energy-Driven Stochastic Schr\"odinger Equation
We generalize the Weisskopf-Wigner theory for the line shape and transition
rates of decaying states to the case of the energy-driven stochastic
Schr\"odinger equation that has been used as a phenomenology for state vector
reduction. Within the standard approximations used in the Weisskopf-Wigner
analysis, and assuming that the perturbing potential inducing the decay has
vanishing matrix elements within the degenerate manifold containing the
decaying state, the stochastic Schr\"odinger equation linearizes. Solving the
linearized equations, we find no change from the standard analysis in the line
shape or the transition rate per unit time. The only effect of the stochastic
terms is to alter the early time transient behavior of the decay, in a way that
eliminates the quantum Zeno effect. We apply our results to estimate
experimental bounds on the parameter governing the stochastic effects.Comment: 29 pages in RevTeX, Added Note, references adde
Master Functional And Proper Formalism For Quantum Gauge Field Theory
We develop a general field-covariant approach to quantum gauge theories.
Extending the usual set of integrated fields and external sources to "proper"
fields and sources, which include partners of the composite fields, we define
the master functional Omega, which collects one-particle irreducible diagrams
and upgrades the usual Gamma-functional in several respects. The functional
Omega is determined from its classical limit applying the usual diagrammatic
rules to the proper fields. Moreover, it behaves as a scalar under the most
general perturbative field redefinitions, which can be expressed as linear
transformations of the proper fields. We extend the Batalin-Vilkovisky
formalism and the master equation. The master functional satisfies the extended
master equation and behaves as a scalar under canonical transformations. The
most general perturbative field redefinitions and changes of gauge-fixing can
be encoded in proper canonical transformations, which are linear and do not mix
integrated fields and external sources. Therefore, they can be applied as true
changes of variables in the functional integral, instead of mere replacements
of integrands. This property overcomes a major difficulty of the functional
Gamma. Finally, the new approach allows us to prove the renormalizability of
gauge theories in a general field-covariant setting. We generalize known
cohomological theorems to the master functional and show that when there are no
gauge anomalies all divergences can be subtracted by means of parameter
redefinitions and proper canonical transformations.Comment: 32 pages; v2: minor changes and proof corrections, EPJ
Large-scale collective motion of RFGC galaxies in curved space-time
We consider large-scale collective motion of flat edge-on spiral galaxies
from the Revised Flat Galaxy Catalogue (RFGC) taking into account the curvature
of space-time in the Local Universe at the scale 100 Mpc/h. We analyse how the
relativistic model of collective motion should be modified to provide the best
possible values of parameters, the effects that impact these parameters and
ways to mitigate them. Evolution of galactic diameters, selection effects, and
difference between isophotal and angular diameter distances are inadequate to
explain this impact. At the same time, measurement error in HI line widths and
angular diameters can easily provide such an impact. This is illustrated in a
toy model, which allows analytical consideration, and then in the full model
using Monte Carlo simulations. The resulting velocity field is very close to
that provided by the non-relativistic model of motion. The obtained bulk flow
velocity is consistent with {\Lambda}CDM cosmology.Comment: 10 pages, 3 figures, 2 table
On the pion electroproduction amplitude
We analyze amplitudes for the pion electroproduction on proton derived from
Lagrangians based on the local chiral SU(2) x SU(2) symmetries. We show that
such amplitudes do contain information on the nucleon axial form factor F_A in
both soft and hard pion regimes. This result invalidates recent Haberzettl's
claim that the pion electroproduction at threshold cannot be used to extract
any information regarding F_A.Comment: 14 pages, 6 figures, revised version, accepted for publication in
Phys. Rev.
Dilaton as the Higgs boson
We propose a model where the role of the electroweak Higgs field is played by
the dilaton. The model contains terms which explicitly violate gauge
invariance, however it is shown that this violation is fictitious, so that the
model is a consistent low energy effective theory. In the simplest version of
the idea the resulting low energy effective theory is the same as the top mode
standard model.Comment: 6 pages, v2 with expanded discussio
Two- and Three-Point Functions in the Extended NJL Model
The two-point functions in generalized Nambu--Jona-Lasinio models are
calculated to all orders in momenta and quark masses to leading order in
. The use of Ward identities and the heat-kernel expansion allows for a
large degree of regularization independence. We also show how this approach
works to the same order for three-point functions on the example of the
vector-pseudoscalar-pseudoscalar three-point function. The inclusion of the
chiral anomaly effects at this level is shown by calculating the
pseudoscalar-vector-vector three-point function to the same order. Finally we
comment on how (vector-)meson-dominance comes out in the presence of explicit
chiral symmetry breaking in both the anomalous and the non-anomalous sectors.Comment: Latex, 42 pages, 3 latex figures, 7 postscript figures included,
NORDITA 94/11 N,P. Improvement in the regularization procedure for the PVV
three point functio
Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
We study the effect of spontaneous breaking of Lorentz invariance on black
hole thermodynamics. We consider a scenario where Lorentz symmetry breaking
manifests itself by the difference of maximal velocities attainable by
particles of different species in a preferred reference frame. The Lorentz
breaking sector is represented by the ghost condensate. We find that the
notions of black hole entropy and temperature loose their universal meaning. In
particular, the standard derivation of the Hawking radiation yields that a
black hole does emit thermal radiation in any given particle species, but with
temperature depending on the maximal attainable velocity of this species. We
demonstrate that this property implies violation of the second law of
thermodynamics, and hence, allows construction of a perpetuum mobile of the 2nd
kind. We discuss possible interpretation of these results.Comment: 13 pages; references adde
Diluting Cosmological Constant In Infinite Volume Extra Dimensions
We argue that the cosmological constant problem can be solved in a braneworld
model with infinite-volume extra dimensions, avoiding no-go arguments
applicable to theories that are four-dimensional in the infrared. Gravity on
the brane becomes higher-dimensional at super-Hubble distances, which entails
that the relation between the acceleration rate and vacuum energy density flips
upside down compared to the conventional one. The acceleration rate decreases
with increasing the energy density. The experimentally acceptable rate is
obtained for the energy density larger than (1 TeV). The results are stable
under quantum corrections because supersymmetry is broken only on the brane and
stays exact in the bulk of infinite volume extra space. Consistency of 4D
gravity and cosmology on the brane requires the quantum gravity scale to be
around eV. Testable predictions emerging within this approach are:
(i) simultaneous modifications of gravity at sub-millimeter and the Hubble
scales; (ii) Hagedorn-type saturation in TeV energy collisions due to the Regge
spectrum with the spacing equal to eV.Comment: 36 pages, 1 eps fig; 4 refs and comment adde
Obtaining the Gauge Invariant Kinetic Term for a SU(n) x SU(m) Lagrangian
We propose a generalized way to formally obtain the gauge invariance of the
kinetic part of a field Lagrangian over which a gauge transformation ruled by
an coupling symmetry is applied. As an
illustrative example, we employ such a formal construction for reproducing the
standard model Lagrangian. This generalized formulation is supposed to
contribute for initiating the study of gauge transformation applied to
generalized symmetries as well as for
complementing an introductory study of the standard model of elementary
particles.Comment: 6 page
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