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Construction of \(\Phi^4_3\) diagrams for pedestrians. (English) Zbl 1390.81266

Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations. PSPDE IV, Braga, Portugal, December 16–18, 2015. Cham: Springer (ISBN 978-3-319-66838-3/hbk; 978-3-319-66839-0/ebook). Springer Proceedings in Mathematics & Statistics 209, 1-46 (2017).
Summary: We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical \(\Phi^4_3\) model. The construction presented here is based on the use of paraproducts. The emphasis is on describing the stochastic objects themselves rather than introducing a solution theory for the equation.
For the entire collection see [Zbl 1387.81004].

MSC:

81S20 Stochastic quantization
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
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