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QFPROBA SIGNED

Quantum Fields and Probability

Total Cost €

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EC-Contrib. €

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Partnership

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Project "QFPROBA" data sheet

The following table provides information about the project.

Coordinator
HELSINGIN YLIOPISTO 

Organization address
address: YLIOPISTONKATU 3
city: HELSINGIN YLIOPISTO
postcode: 14
website: www.helsinki.fi

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 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.

# participants  country  role  EC contrib. [€] 
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
List of publications.
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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