Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-03-21
Phys.Rev. D73 (2006) 114508
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 10 figures. Latex with postscript figures
Scientific paper
10.1103/PhysRevD.73.114508
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.
Kogut John B.
Sinclair D. K.
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