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Stochastic quantization of Born-Infeld field

Hiroshi Hotta·Mikio Namiki·Masahiko Kanenaga
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Abstract

We stochastically quantize the Born-Infeld field which can hardly be dealtwith by means of the standard canonical and/or path-integral quantization methods. We set a hypothetical Langevin equation in order to quantize the Born-Infeld field, following the basic idea of stochastic quantization method. Numerically solving this nonlinear Langevin equation, we obtain a sort of "particle mass" associated with the gauge-invariant Born-Infeld field as a function of the so-called universal length. This is a revised version of which original non-electronic one was published in 1995 by RISE in Waseda Univ.

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Hiroshi Hotta, Mikio Namiki, Masahiko Kanenaga. 2004-05-15. Stochastic quantization of Born-Infeld field. https://arxiv.org/abs/hep-th/0405136

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