A finite-volume fractional-Laplacian regularization is claimed to make 2D Euclidean scalar field path integrals finite after a specially chosen renormalization, but the central limit argument rests on an unproved determinant expansion.
Botelho, A note an Feynman Kac path integral represen tations for scalar wave motions, Random Operators and Stochastic Equations (print), v
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Some Comments on infinities on Quantum field Theory : A functional integral approach
A finite-volume fractional-Laplacian regularization is claimed to make 2D Euclidean scalar field path integrals finite after a specially chosen renormalization, but the central limit argument rests on an unproved determinant expansion.