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Lattice simulations of Born-Infeld non-linear QED

D. K. Sinclair·J. B. Kogut
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Abstract

Born-Infeld non-linear electrodynamics was introduced to render the self energy of a point particle finite. It has recently been revived as a field theory for branes and strings. We quantize this theory on a Euclidean space-time lattice, using Metropolis Monte-Carlo simulations to measure the properties of the quantum field theory. Luscher-Weisz methods are used to measure the electromagnetic fields from a static point charge. The D field from a point charge appears to be identical to that for the normal Maxwell Lagrangian. The E field is enhanced by quantum fluctuations, and shows short distance screening as it does in the classical theory.

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D. K. Sinclair, J. B. Kogut. 2005-09-22. Lattice simulations of Born-Infeld non-linear QED. https://arxiv.org/abs/hep-lat/0509097

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