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QFPROBA

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Quantum Fields and Probability

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 Q... ver más

31/03/2024

HELSINGIN YLIOPIST...

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

HELSINGIN YLIOPISTO No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2024-03-31

Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:

ERC-2016-ADG: ERC Advanced Grant

I+D

Cerrada hace 8 años

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2 Participantes

HELSINGIN YLIOPISTO

2.46M€ | Lider

IBERFOL

399.00K€ | Participante

Últimas noticias

29-11-2024: IDAE En las últimas 48 horas el Organismo IDAE ha otorgado 4 concesiones

29-11-2024: ECE En las últimas 48 horas el Organismo ECE ha otorgado 2 concesiones

29-11-2024: CMVAMADRID En las últimas 48 horas el Organismo CMVAMADRID ha otorgado 37 concesiones

Duración del proyecto: 83 meses Fecha Inicio: 2017-04-21
Fecha Fin: 2024-03-31

Líder del proyecto

HELSINGIN YLIOPISTO

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto 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.

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