Fahrrad vorm Schloss
© MM/Ralf Engbers

Stochastic Analysis meets QFT - critical theory

12-14 June 2023, in Münster, Germany

Over the last years, a number of new methods from stochastic analysis have been developed that allowed a new perspective on constructive field theory. Among these are the theory of singular stochastic PDEs, Barashkov-Gubinelli’s variational approach, and constructive approaches to Polchinski's continuous renormalisation group flow. While much progress has been made on controlling small scales for subcritical/superrenormalisable models there is much less known regarding the same question  for critical/just-renormalizable models.

The constructive renormalisation programme has been successfully applied to quantum field theories of matrix models and tensor models. Matrix models tend to be asymptotically safe and tensor models asymptotically free at their critical dimension. These models are comparably simple and thus provide an ideal target to extend the above stochastic analysis methods to critical dimension.

The aim of this short workshop is to bring together some leading experts from both the stochastic analysis community and the QFT community to explore these exciting developments further.

This workshop is planned in close coordination with the related workshop "From perturbative to non-perturbative QFT", 14-16 June 2023.



Ajay Chandra (Imperial College)
Hendrik Weber (Münster)
Raimar Wulkenhaar (Münster)


Book of Abstracts

  Mon 12 June Tue 13 June Wed 14 June
9:00-9:50 Nikolay Barashkov Margherita Disertori Nguyen Viet Dang
9:50-10:20 Coffee break
10:20-11:10 Rongchan Zhu
Yvain Bruned
Alexander Hock
11:10-11:30 Break
11:30-12:20 Razvan Gurau

Nikos Zygouras

Sabine Harribey

12:20-14:00 Lunch
14:00-14:50 Francesco de Vecchi
Martin Hairer Vincent Rivasseau
14:50-15:20 Coffee break
15:20-16:10 Nicolas Perkowski Hao Shen Léonard Ferdinand
16:10-16:30 Break
16:30-17:20 Xiangchan Zhu
Ilya Chevyrev
Thomas Krajewski
17:20-17:30 Break
17:30-18:20 Luca Fresta   Zhituo Wang
18:30-21:00 Reception:
Wine + Cheese
Conference Dinner 
A2 Restaurant
Wine + Cheese


The Zoom link for all talks of the workshop is:

Video recordings of the talks are posted (when the speakers agree) in this Playlist on the YouTube channel "Mathematics Münster". (Note: Clicking on the link will take you to the YouTube website. During this process, data will be transmitted to YouTube.)

Conference photo
Conference photo
© MM/vl

Conference impressions

© MM/vl
  • Talk by Martin Hairer (Imperial College) on on the role of symmetry in renormalisation.
    © MM/vl I Talk by Martin Hairer (Imperial College)
  • © MM/vl


Please register for the workshop Stochastic Analysis meets QFT - critical theory (12-14 June) via: https://wwuindico.uni-muenster.de/event/1851/

Registration for the related workshop From pertubative to non-pertubative QFT (14-16 June) is possible here: https://wwuindico.uni-muenster.de/event/1899/

Support and child care

Child care is available free of charge for all participants of the workshop.

Venue and Travel Information

The conference takes place in room SRZ 216/217 on the second floor of the seminar building located at

Orléans-Ring 12
48149 Münster

Directions can be found on openstreetmap or on the Campus map of the University of Münster.

Detailed travel information can be found on the MM websites.

Download: Information for conference guests / Informationsblatt für Tagungsteilnehmer*innen [enIde]


Workshop participants are welcome to book accommodation via the links to the portal of Münster Marketing below (about 40 hotel offers at different fares).

Period of stay:

Please note that arrival and departure dates may be modified to fit your travel plans when booking.

Hotels (among others):



You are welcome to download the poster and display it at your institution.


The conference is supported by the ERC Grant "Global Estimates for Singular Stochastic PDEs" and the Cluster of Excellence Mathematics Münster.

© European Commission