Quantization and simulation of Born-Infeld non-linear electrodynamics on a lattice

Abstract

Born-Infeld non-linear electrodynamics arises naturally as a field theory description of the dynamics of strings and branes. Most analyses of this theory have been limited to studying it as a classical field theory. We quantize this theory on a Euclidean 4-dimensional space-time lattice and determine its properties using Monte-Carlo simulations. The electromagnetic field around a static point charge is measured using Luscher-Weisz methods to overcome the sign problem associated with the introduction of this charge. The D field appears identical to that of Maxwell QED. However, the E field is enhanced by quantum fluctuations, while still showing the short distance screening observed in the classical theory. In addition, whereas for the classical theory, the screening increases without bound as the non-linearity increases, the quantum theory approaches a limiting conformal field theory.

arXiv comment24 pages, 10 figures. Latex with postscript figures

References in corpus (9)

• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Gauge-Invariant and Gauge-Fixed D-Brane Actions
• Locality and exponential error reduction in numerical lattice gauge theory
• Point Charge in the Born-Infeld Electrodynamics
• Strong field limit of the Born-Infeld p-form electrodynamics
• Generation of a dipole moment by external field in Born-Infeld non-linear electrodynamics
• Canonical formalism for the Born-Infeld particle

Cited by in corpus (3)

• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Dark Energy Content of Nonlinear Electromagnetism
• Rapidly rotating pulsar radiation in vacuum nonlinear electrodynamics