Stochastic quantization of Born-Infeld field

2004/05/15 by Hiroshi Hotta, Hotta, Hiroshi, Mikio Namiki +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0405136

14pages in LaTeX format with 6 figures in EPS format

arxiv created 2004/05/15 · openalex publication_date 2004/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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