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Stochastic Quantisation of Quantum Field Theories with Bosons and Fermions

Project description

Extension of stochastic quantisation to quantum field theories with fermions and bosons

Stochastic quantisation is a general probabilistic framework that approximates interacting continuous quantum fields as discrete ones in ways simpler than previously possible. Since its proposal in the early 1980s, its novel connection between quantum field theory and statistical mechanics has enabled applications in areas including numerical simulation of gauge theories with fermions. With the support of the Marie Skłodowska-Curie Actions programme, the StoConYuQED project aims to extend stochastic analytical methods to continue the stochastic quantisation line of thought, enabling the construction of quantum field theories for Fermi fields with large-scale singularities and quantum field theories for Fermi and scalar or gauge fields with small-scale singularities.

Objective

The mathematical foundation of Euclidean quantum field theory is a very active research area which has long been a central topic at the intersection of mathematical physics and probability theory. A general probabilistic framework to describe quantum fields called “stochastic quantisation” was proposed in the early 80's by the Nobel prize Giorgio Parisi, in collaboration with Yongshi Wu, and consists in the description of interacting quantum fields via the solution to some stochastic differential equation. The proposal aims at exploring novel directions in stochastic analysis that would allow for a fruitful continuation of the stochastic quantisation programme. Namely, the goal of the proposal is the extension of the known stochastic analytical methods in order to be able to construct quantum field theories for Fermi fields with large-scale singularities and quantum field theories for Fermi and scalar or gauge fields with small-scale singularities.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2023-PF-01

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Coordinator

UNIVERSITA DEGLI STUDI ROMA TRE
Net EU contribution
€ 172 750,08
Address
VIA OSTIENSE 133
00154 ROMA
Italy
Region
Centro (IT) Lazio Roma
Activity type
Higher or Secondary Education Establishments
Links
Total cost
No data