Quantum Effect of Nonlinear Born—Infeld Field

Masahiko Kanenaga, Mikio Namiki and Hiroshi Hotta
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Masahiko Kanenaga: Waseda University, Department of Physics
Mikio Namiki: Waseda University, Department of Physics
Hiroshi Hotta: Waseda University, Department of Physics

A chapter in Symmetries in Science VIII, 1995, pp 233-239 from Springer

Abstract: Abstract Many years ago Born and Infeld [1] presented a nonlinear electromagnetic field with a non-polynomial action including the so-called universal length. One of the most important characteristics of the Born-Infeld field is found in its static solution which has no infra-red divergence. Many physicists expected that this might be an example of divergence-free field theory. However, no one could succeed to quantize the field, by means of the standard canonical quantization method, because of the complicated nonlinearity. Even the path-integral quantization can hardly be applied to this field, because we cannot easily manipulate such a non-polynomial action. We have to invent a new quantization method if we want to quantize the Born-Infeld field.

Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_17

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