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

TL;DR

This paper develops a quantization framework for Born-Infeld electrodynamics and gravity using Faddeev-Popov gauge fixing, deriving Feynman rules and analyzing quantum fluctuations of spatial hypersurfaces.

Contribution

It introduces a novel quantization approach for Born-Infeld theories by removing square roots via gauge fixing and Vierbein fields, establishing a consistent gauge group for gravity.

Findings

Derived Feynman rules for B-I electrodynamics

Presented a gauge-invariant quantization method for B-I gravity

Indicated quantum fluctuations grow exponentially over time

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.