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arXiv · 1507.08213

Towards an Analytic Theory of Stochastic and Quantum Fields

Rodrigo Vargas Le-Bert
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Abstract

We propose a method for the rigorous construction of physically relevant functional measures. In shaping it we get several conceptual insights, which can perhaps be summarized by the following statement: the renormalized interaction Lagrangian should be the generator of a flow on a space of asymptotically free cylinder functional measures with density given, in the case of Boson fields with polynomial self-interaction, by a generalized form of the Appell polynomials.

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Rodrigo Vargas Le-Bert. 2015-07-29. Towards an Analytic Theory of Stochastic and Quantum Fields. https://arxiv.org/abs/1507.08213

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