Scattering of Electrons and Photogeneration of Gravitons in External Gravitational Field

2017 ◽  
pp. 453-479
Keyword(s):  
Gravitational Field ◽  
External Gravitational Field

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.

The solutions of the Einstein equations for uniformly accelerated particles without nodal singularities. I. Freely falling particles in external fields

1983 ◽  
Vol 390 (1799) ◽  
pp. 397-409 ◽  
Keyword(s):  
Gravitational Field ◽  
Physical Interpretation ◽  
Einstein Equations ◽  
External Fields ◽  
Asymptotically Flat ◽  
External Gravitational Field ◽  
Accelerated Particles

Ernst’s procedure of removing the nodal singularity in the C-metric is applied to the solutions for uniformly accelerated particles of Bonnor & Swaminarayan ( Z . Phys . 177, 240 (1964)). A new solution representing two independent Curzon-Chazy particles falling freely in opposite directions in an external gravitational field is constructed. It is therefore not asymptotically flat. This solution is then shown to follow from the original solutions of Bonnor & Swaminarayan for two independent pairs of uniformly accelerated particles if a limiting procedure, namely removing one particle in each pair to infinity and increasing its mass simultaneously, is performed. In this manner, a clear physical interpretation is given both to generalized Bonnor & Swaminarayan solutions constructed here and to generalized C-metric solutions found by Ernst in 1978.

A Kerr black hole in the external gravitational field

1997 ◽  
Vol 230 (1-2) ◽  
pp. 7-11 ◽  
Author(s):  
Nora Bretón ◽  
Tatiana E. Denisova ◽  
Vladimir S. Manko
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Kerr Black Hole ◽  
External Gravitational Field

Dispersive photon propagation in semiclassical higher-derivative gravity

2015 ◽  
Vol 30 (11) ◽  
pp. 1550052 ◽  
Author(s):  
Antonio Accioly ◽  
José Helayël-Neto ◽  
F. E. Barone ◽  
Breno Giacchini ◽  
Wallace Herdy
Keyword(s):  
Gravitational Field ◽  
Coordinate System ◽  
Upper Bound ◽  
Massive Particle ◽  
Visible Spectrum ◽  
The Sun ◽  
Photon Propagation ◽  
External Gravitational Field ◽  
Higher Derivative ◽  
Gravity Equations

The scattering of a photon by a weak external gravitational field which is solution of the linearized higher-derivative gravity equations sourced by a point-like massive particle located at the origin of the coordinate system, is analyzed. It is shown that the [Formula: see text]-sector of the theory produces dispersive photon propagation. Subsequently, the angle |Δθ|(≡|θ violet -θ red |) at which the visible spectrum would be spread over in the case of a photon passing by the Sun is plotted as a function of the |β|-constant related to the [Formula: see text]-sector. An upper bound on |β| is then found. Interestingly enough, this limit is thirteen orders of magnitude below the accepted upper bound on |β|.

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