Towards an Analytic Theory of Stochastic and Quantum Fields

Rodrigo Vargas Le-Bert

Towards an Analytic Theory of Stochastic and Quantum Fields

Mathematical Physics 2015-07-30 v1 High Energy Physics - Theory math.MP Probability

Authors: Rodrigo Vargas Le-Bert

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.

Keywords

functional measures stochastic fields quantum fields renormalized interaction Lagrangian asymptotically free cylinder measures boson fields polynomial self-interaction Appell polynomials

Cite

@article{arxiv.1507.08213,
  title  = {Towards an Analytic Theory of Stochastic and Quantum Fields},
  author = {Rodrigo Vargas Le-Bert},
  journal= {arXiv preprint arXiv:1507.08213},
  year   = {2015}
}

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14 pages, ICMP2015

Towards an Analytic Theory of Stochastic and Quantum Fields

Abstract

Keywords

Cite

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