QFPROBA SIGNED
Quantum Fields and Probability
Total Cost €
0EC-Contrib. €
0Partnership
0Views
0QFPROBA project word cloud
Explore the words cloud of the QFPROBA project. It provides you a very rough idea of what is the project "QFPROBA" about.
Project "QFPROBA" data sheet
The following table provides information about the project.
| Coordinator |
HELSINGIN YLIOPISTO
Organization address contact info |
| Coordinator Country | Finland [FI] |
| Total cost | 2˙463˙412 € |
| EC max contribution | 2˙463˙412 € (100%) |
| Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
| Code Call | ERC-2016-ADG |
| Funding Scheme | ERC-ADG |
| Starting year | 2017 |
| Duration (year-month-day) | from 2017-10-01 to 2022-09-30 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | HELSINGIN YLIOPISTO | FI (HELSINGIN YLIOPISTO) | coordinator | 2˙463˙412.00 |
Map
Project objective
Quantum Field Theory (QFT) has become a universal framework in physics to study systems with infinite number of degrees of freedom. It has also had in the past significant interaction with Probability starting with Constructive QFT and rigorous statistical mechanics. The goal of this proposal is to bring QFT methods to probabilistic problems and new ideas from Probability to QFT. It concentrates on two concrete topics:
(1) Renormalization Group study of rough Stochastic Partial Differential Equations, both their path wise solutions and their space-time correlations and stationary states. These equations are ubiquitous in non-equilibrium physics and they are mathematically challenging.
(2) The use of Multiplicative Chaos theory in the rigorous construction and study of the Liouville Conformal Field Theory. Liouville theory is one of the most studied Conformal Field Theories in physics due to its connection to scaling limits of random surfaces and string theory. It has many mathematically puzzling features and its rigorous study is now possible.
Although the physical applications of these theories are far apart on the level of mathematical methods they have a common unity based on renormalization theory that I want to utilize. I think time is ripe for a new fruitful interaction between QFT and Probability.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2018 |
Antti Kupiainen, Rémi Rhodes, Vincent Vargas Local Conformal Structure of Liouville Quantum Gravity published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-018-3260-3 |
Communications in Mathematical Physics | 2019-06-07 |
| 2018 |
Antti Kupiainen, Rémi Rhodes, Vincent Vargas The DOZZ formula from the path integral published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep05(2018)094 |
Journal of High Energy Physics 2018/5 | 2019-06-07 |
| 2019 |
Joona Oikarinen Smoothness of Correlation Functions in Liouville Conformal Field Theory published pages: , ISSN: 1424-0637, DOI: 10.1007/s00023-019-00789-0 |
Annales Henri Poincaré | 2019-06-07 |
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