Scattering in topologically massive gravity, chiral gravity, and the corresponding anyon-anyon potential energy

Download

index.pdf

Date

2014-01-27

Author

Dengiz, Suat
Kilicarslan, Ercan
Tekin, Bayram

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

122
views

436
downloads

We compute the tree-level scattering amplitude between two covariantly conserved sources in generic cosmological topologically massive gravity augmented with a Fierz-Pauli term that has three massive degrees of freedom. We consider the chiral gravity limit in the anti-de Sitter space as well as the limit of flat-space chiral gravity. We show that chiral gravity cannot be unitarily deformed with a Fierz-Pauli mass. We calculate the nonrelativistic potential energy between two point-like spinning sources. In addition to the expected mass-mass and spin-spin interactions, there are mass-spin interactions due to the presence of the gravitational Chern-Simons term which induces spin for any massive object and turns it to an anyon. We also show that the tree-level scattering is trivial for the flat-space chiral gravity.

Subject Keywords

Veltman-zakharov discontinuity, Gravitational anyons, Spin, Spacetime, Dynamics

URI

https://hdl.handle.net/11511/39506

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.89.024033

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Spin force and torque in non-relativistic Dirac oscillator on a sphere Shikakhwa, M. S. (2018-03-30) The spin force operator on a non-relativistic Dirac oscillator (in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin-orbit interaction) is derived using the Heisenberg equations of motion and is seen to be formally similar to the force by the electromagnetic field on a moving charged particle. When confined to a sphere of radius R, it is shown that the Hamiltonian of this non-relativistic oscillator can be expressed as a mere kinetic energy operator w...
Spin–orbit effects on the nonlinear optical properties of a quantum dot in simultaneous electric and magnetic fields Aytekin, O.; Turgut, Sadi; Tomak, Mehmet (Elsevier BV, 2014-11) We report on the nonlinear optical properties of a quantum dot including the Rashba spin-orbit interaction (RSOI) with external electric and magnetic fields. The effect of dot size is considered. We do not make any assumptions about the strength of the confinement. We use the numerical diagonalization of the Hamiltonian to determine the electronic structure. The confining potential is taken to be of the Woods-Saxon type. We find the effect of RSOI on nonlinear optical coefficients.
Autoparallel orbits in Kerr Brans-Dicke spacetimes Cebeci, H; Dereli, T; Tucker, RW (2004-01-01) The bounded orbital motion of a massive spinless test particle in the background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines that are auto-parallels of different metric compatible spacetime connections. In one case the connection is that of Levi-Civita with zero-torsion. In the second case the connection has torsion determined by the gradient of the Brans-Dicke background scalar field. The calculations permit one in principle to discriminate between these possibilities.
CASIMIR ENERGY IN A CURVED BACKGROUND WITH A SPHERICAL BOUNDARY AND ARBITRARY RADIUS - AN EXACT SOLUTION VIA THE POINT SPLITTING METHOD BAYM, SS; OZCAN, M (1994-05-15) We calculate the renormalized quantum vacuum energy-momentum tensor inside a spherical boundary, where the background geometry inside the boundary is represented by the closed static Friedmann metric. The remormalized energy density has two terms, one of which comes from the local curvature and the other one is due to the presence of the boundary. The renormalized energy density has a nonintegrable divergence as the boundary is approached.
Chaos from massive deformations of Yang-Mills matrix models Başkan, K.; Kürkcüoğlu, Seçkin; Oktay, O.; Taşcı, Cankut (Springer Science and Business Media LLC, 2020-10-01) We focus on an SU(N) Yang-Mills gauge theory in 0 + 1-dimensions with the same matrix content as the bosonic part of the BFSS matrix model, but with mass deformation terms breaking the global SO(9) symmetry of the latter to SO(5) x SO(3) x Z(2). Introducing an ansatz configuration involving fuzzy four and two spheres with collective time dependence, we examine the chaotic dynamics in a family of effective Lagrangians obtained by tracing over the aforementioned ansatz configurations at the matrix levels N = ...

Citation Formats

S. Dengiz, E. Kilicarslan, and B. Tekin, “Scattering in topologically massive gravity, chiral gravity, and the corresponding anyon-anyon potential energy,” PHYSICAL REVIEW D, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39506.