14,240 research outputs found
Nonsingular 4d-flat branes in six-dimensional supergravities
We show that six-dimensional supergravity models admit nonsingular solutions
in the presence of flat three-brane sources with positive tensions. The models
studied in this paper are nonlinear sigma models with the target spaces of the
scalar fields being noncompact manifolds. For the particular solutions of the
scalar field equations which we consider, only two brane sources are possible
which are positioned at those points where the scalar field densities diverge,
without creating a divergence in the Ricci scalar or the total energy. These
solutions are locally invariant under 1/2 of D=6 supersymmetries, which,
however, do not integrate to global Killing spinors. Other branes can be
introduced by hand by allowing for local deficit angles in the transverse space
without generating any kind of curvature singularities.Comment: 13 pages. The discussion of modular invariance is amended and a
reference has been adde
Magnetic Field and Curvature Effects on Pair Production I: Scalars and Spinors
The pair production rates for spin-zero and spin- particles are
calculated on spaces of the form with
corresponding to (flat), (flat, compactified),
(positive curvature) and (negative curvature), with and without a
background magnetic field on . The motivation is to elucidate the effects of
curvature and background magnetic field. Contrasting effects for positive and
negative curvature on the two cases of spin are obtained. For positive
curvature, we find enhancement for spin-zero and suppression for
spin-, with the opposite effect for negative curvature.Comment: 28 pages, 10 figure
Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics
We calculate the pair production rates for spin- or vector particles on
spaces of the form with corresponding to
(flat), (positive curvature) and (negative
curvature), with and without a background (chromo)magnetic field on . Beyond
highlighting the effects of curvature and background magnetic field, this is
particularly interesting since vector particles are known to suffer from the
Nielsen-Olesen instability, which can dramatically increase pair production
rates. The form of this instability for and is obtained. We also
give a brief discussion of how our results relate to ideas about confinement in
nonabelian theories.Comment: 24 pages, 9 figure
On Level Quantization for the Noncommutative Chern-Simons Theory
We show that the coefficient of the three-dimensional Chern-Simons action on
the noncommutative plane must be quantized. Similar considerations apply in
other dimensions as well.Comment: 6 pages, Latex, no figure
A Note on Schwinger Mechanism and a Nonabelian Instability in a Nonabelian Plasma
We point out that there is a nonabelian instability for a nonabelian plasma
which does not allow both for a net nonzero color charge and the existence of
field configurations which are coherent over a volume whose size is
determined by the chemical potential. The basic process which leads to this
result is the Schwinger decay of chromoelectric fields, for the case where the
field arises from commutators of constant potentials, rather than as the curl
of spacetime dependent potentials. In terms of the fields, instability is
obtained when Tr(DF)^2 > 0.Comment: 14 pages, 6 figure
Physics-informed Neural Networks approach to solve the Blasius function
Deep learning techniques with neural networks have been used effectively in
computational fluid dynamics (CFD) to obtain solutions to nonlinear
differential equations. This paper presents a physics-informed neural network
(PINN) approach to solve the Blasius function. This method eliminates the
process of changing the non-linear differential equation to an initial value
problem. Also, it tackles the convergence issue arising in the conventional
series solution. It is seen that this method produces results that are at par
with the numerical and conventional methods. The solution is extended to the
negative axis to show that PINNs capture the singularity of the function at
$\eta=-5.69
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