Off-Shell Duality in Born-Infeld Theory

Details Off-Shell Duality in Born-Infeld Theory Off-Shell Duality in Born-Infeld Theory

2001-01-05

arxiv.org/abs/hep-th/0101031v3

Nucl.Phys. B602 (2001) 514-526

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, misprints corrected, reference added, version to be published

Scientific paper

10.1016/S0550-3213(01)00105-5

The classical equations of motion of Maxwell and Born-Infeld theories are known to be invariant under a duality symmetry acting on the field strengths. We implement the SL(2,Z) duality in these theories as linear but non-local transformations on the potentials. We show that the action and the partition function in the Hamiltonian formalism are modular invariant in any gauge. For the Born-Infeld theory we find that the longitudinal part of the fields have to be complexified.

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