Abstract
This note is a sequel to Rivasseau and Wang (J. Math. Phys. 51, 092304, 2010). We correct the intermediate field representation for the stable \(\phi ^{2k}\) field theory in zero dimension introduced there and extend it to the case of complex conjugate fields. For \(k = 3\) in the complex case we also provide an improved representation which relies on ordinary convergent Gaussian integrals rather than oscillatory integrals.
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Lionni, L., Rivasseau, V. Note on the Intermediate Field Representation of \(\phi ^{2k}\) Theory in Zero Dimension. Math Phys Anal Geom 21, 23 (2018). https://doi.org/10.1007/s11040-018-9281-5
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DOI: https://doi.org/10.1007/s11040-018-9281-5