Studies on holonomic quantum fields, XII

  • Sato M
  • Miwa T
  • Jimbo M
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Abstract

To understanding the mathematical structure of quantized fields or systems with infinite freedom,-non trivial but exactly calculable models, would be of great help [1]. In this and subsequent notes we present, both in the continuum and in the lattice, 2-dimensional soluble models of neutral scalar massive field theory whose т-functions exhibit a non trivial singularity structure. In the present article we deal with the continuum case. We introduce an auxiliary free fermi/bose field and construct the field operator by giving its induced rotation in the space of …

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Sato, M., Miwa, T., & Jimbo, M. (2009). Studies on holonomic quantum fields, XII. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 55(3). https://doi.org/10.3792/pjaa.55.73

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