Construction of Φ4 3 diagrams for pedestrians

Jean Christophe Mourrat, Hendrik Weber, Weijun Xu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical Φ4 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.

Original languageEnglish
Title of host publicationFrom Particle Systems to Partial Differential Equations, PSPDE IV
EditorsP. Gonçalves, A. Soares
Place of PublicationNew York, U. S. A.
PublisherSpringer New York
Pages1-46
Number of pages46
ISBN (Print)9783319668383
DOIs
Publication statusPublished - 1 Jan 2017
Event4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015 - Braga, Portugal
Duration: 16 Dec 201518 Dec 2015

Publication series

NameSpringer Proceedings in Mathematics & Statistics
Volume209

Conference

Conference4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015
CountryPortugal
CityBraga
Period16/12/1518/12/15

Keywords

  • Feynman diagrams
  • Paraproducts
  • Singular stochastic PDEs
  • Stochastic quantisation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mourrat, J. C., Weber, H., & Xu, W. (2017). Construction of Φ4 3 diagrams for pedestrians. In P. Gonçalves, & A. Soares (Eds.), From Particle Systems to Partial Differential Equations, PSPDE IV (pp. 1-46). (Springer Proceedings in Mathematics & Statistics; Vol. 209). Springer New York. https://doi.org/10.1007/978-3-319-66839-0_1