103 research outputs found
Hyperfluid - a model of classical matter with hypermomentum
A variational theory of a continuous medium is developed the elements of
which carry momentum and hypermomentum (hyperfluid). It is shown that the
structure of the sources in metric-affine gravity is predetermined by the
conservation identities and, when using the Weyssenhoff ansatz, these
explicitly yield the hyperfluid currents.Comment: plain Tex, 11 pages, no figure
Test Matter in a Spacetime with Nonmetricity
Examples in which spacetime might become non-Riemannian appear above Planck
energies in string theory or, in the very early universe, in the inflationary
model. The simplest such geometry is metric-affine geometry, in which {\it
nonmetricity} appears as a field strength, side by side with curvature and
torsion. In matter, the shear and dilation currents couple to nonmetricity, and
they are its sources. After reviewing the equations of motion and the Noether
identities, we study two recent vacuum solutions of the metric-affine gauge
theory of gravity. We then use the values of the nonmetricity in these
solutions to study the motion of the appropriate test-matter. As a
Regge-trajectory like hadronic excitation band, the test matter is endowed with
shear degrees of freedom and described by a world spinor.Comment: 14 pages, file in late
Yang--Mills Configurations from 3D Riemann--Cartan Geometry
Recently, the {\it spacelike} part of the Yang--Mills equations has
been identified with geometrical objects of a three--dimensional space of
constant Riemann--Cartan curvature. We give a concise derivation of this
Ashtekar type (``inverse Kaluza--Klein") {\it mapping} by employing a
--decomposition of {\it Clifford algebra}--valued torsion and curvature
two--forms. In the subcase of a mapping to purely axial 3D torsion, the
corresponding Lagrangian consists of the translational and Lorentz {\it
Chern--Simons term} plus cosmological term and is therefore of purely
topological origin.Comment: 14 pages, preprint Cologne-thp-1994-h1
On the chiral anomaly in non-Riemannian spacetimes
The translational Chern-Simons type three-form coframe torsion on a
Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan
four-form. Following Chandia and Zanelli, two spaces with non-trivial
translational Chern-Simons forms are discussed. We then demonstrate, firstly
within the classical Einstein-Cartan-Dirac theory and secondly in the quantum
heat kernel approach to the Dirac operator, how the Nieh-Yan form surfaces in
both contexts, in contrast to what has been assumed previously.Comment: 18 pages, RevTe
Poincare gauge invariance and gravitation in Minkowski spacetime
A formulation of Poincare symmetry as an inner symmetry of field theories
defined on a fixed Minkowski spacetime is given. Local P gauge transformations
and the corresponding covariant derivative with P gauge fields are introduced.
The renormalization properties of scalar, spinor and vector fields in P gauge
field backgrounds are determined. A minimal gauge field dynamics consistent
with the renormalization constraints is given.Comment: 36 pages, latex-fil
On the (im)possibility of a supersymmetric extension of NGT
We investigate the possibility of constructing a locally supersymmetric
extension of NGT (Nonsymmetric Gravitation Theory), based on the graded
extension of the Poincare group. In the framework of the simple model that we
propose, we end up with a no-go result, namely the impossibility of cancelling
some linear contribution in the gravitino field. This drawback seems to
seriously undermine the construction of a supergravity based on NGT.Comment: 17 pages, Latex,two references added, minor changes for clarity, v3:
E-mail changed, v4 : Ref(9) correcte
Dark Matter Gravitational Interactions
We argue that the conjectured dark mater in the Universe may be endowed with
a new kind of gravitational charge that couples to a short range gravitational
interaction mediated by a massive vector field. A model is constructed that
assimilates this concept into ideas of current inflationary cosmology. The
model is also consistent with the observed behaviour of galactic rotation
curves according to Newtonian dynamics. The essential idea is that stars
composed of ordinary (as opposed to dark matter) experience Newtonian forces
due to the presence of an all pervading background of massive gravitationally
charged cold dark matter. The novel gravitational interactions are predicted to
have a significant influence on pre-inflationary cosmology. The precise details
depend on the nature of a gravitational Proca interaction and the description
of matter. A gravitational Proca field configuration that gives rise to
attractive forces between dark matter charges of like polarity exhibits
homogeneous isotropic eternal cosmologies that are free of cosmological
curvature singularities thus eliminating the horizon problem associated with
the standard big-bang scenario. Such solutions do however admit dense hot
pre-inflationary epochs each with a characteristic scale factor that may be
correlated with the dark matter density in the current era of expansion. The
model is based on a theory in which a modification of Einsteinian gravity at
very short distances can be expressed in terms of the gradient of the Einstein
metric and the torsion of a non-Riemannian connection on the bundle of linear
frames over spacetime. Indeed we demonstrate that the genesis of the model
resides in a remarkable simplification that occurs when one analyses the
variational equations associated with a broad class of non-Riemannian actions.Comment: 40 pages, 4 Postscript figure
The Affine-Metric Quantum Gravity with Extra Local Symmetries
We discuss the role of additional local symmetries related to the
transformations of connection fields in the affine-metric theory of gravity.
The corresponding BRST transformations connected with all symmetries (general
coordinate, local Lorentz and extra) are constructed. It is shown, that extra
symmetries give the additional contribution to effective action which is
proportional to the corresponding Nielsen-Kallosh ghost one. Some arguments are
given, that there is no anomaly associated with extra local symmetries.Comment: 14 pages in LATEX (The version of paper accepted for publication in
Class. Quant. Grav.
Strong Decays of Mesons
We present a detailed study of the two-body strong decays of light mesons.
Both the space part and the spin-flavor-color part of the wave functions are
generated algebraically and closed forms are obtained for all decays.
Experimental deviations from our systematics are seen to be suggestive of both
missing mesons and exotic QCD configurations.Comment: 24 pages (+6 figures, available from the authors), LATEX file, Yale
preprint YCTP-N18-9
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