Journal
DUKE MATHEMATICAL JOURNAL
Volume 169, Issue 17, Pages 3339-3415Publisher
DUKE UNIV PRESS
DOI: 10.1215/00127094-2020-0029
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Funding
- Isaac Newton Institute for Mathematical Sciences
- Deutsche Forschungsgemeinschaft (DFG) via Collaborative Research Centres project [CRC 1060]
- Engineering and Physical Sciences Research Council grant [EP/R014604/1]
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We introduce an explicit description of the Phi(4)(3) measure on a bounded domain. Our starting point is the interpretation of its Laplace transform as the value function of a stochastic optimal control problem along the flow of a scale regularization parameter. Once small scale singularities have been renormalized by the standard counterterms, Gamma-convergence allows us to extend the variational characterization to the unregularized model.
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