Gravitational lensing in a plasma from worldlines

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ID

oai:arXiv.org:2412.14126

Topic

High Energy Physics - Theory Astrophysics - Cosmology and Nonga... General Relativity and Quantum Cos...

Author

Comberiati, Francesco de la Cruz, Leonardo

Year

2024

listing date

12/25/2024

Keywords

light bending

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Abstract

We study the deflection of light rays in a cold, non-magnetized plasma using the worldline framework.

Starting from Synge's Hamiltonian formalism, we construct a position-space action and use it perturbatively to calculate light bending angles.

In the homogeneous case, the action reduces to that of a massive particle, allowing us to extract the bending angle of light in the presence of the medium using a well-known analogy.

For the inhomogeneous case, we consider a power law model and construct Feynman rules in time to compute the purely plasma-induced corrections to the bending angle at Next-to-Leading-Order (NLO).

;Comment: 10 pages, 1 figure

Comberiati, Francesco,de la Cruz, Leonardo, 2024, Gravitational lensing in a plasma from worldlines

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