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Quantization of B-I electrodynamics and B-I modified gravity using Faddeev-Popov gauge-fixing procedure

2013/05/01 by Srivatsan Rajagopal, Ajit Kumar, Rajagopal, Srivatsan +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.1305.0083

arxiv created 2013/05/01 · openalex publication_date 2013/05/01 · arxiv updated 2013/05/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the quantized versions of Born Infeld electrodynamics and Born Infeld Gravity. We derive Feynman rules for B-I electrodynamics by deriving an effective Lagrangian with the square root removed using the Faddeev-Popov method. In the case of B-I gravity, the square root in the Lagrangian is removed by the introduction of the Vierbien fields. This approach has the advantage that SO(3,1) can be consistently regarded to be the gauge group of gravity. Finally, using a rough argument, the quantum fluctuations of the radii of spatial hypersurfaces in flat space are shown to undergo accelerated increase with time.

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