In this talk I will discuss the problem of stochastic quantisation of Parisi-Wu in the context of Yang-Mills (YM) theories. I will present several works which make sense of the YM Langevin dynamic on the 2D and 3D torus in a way that respects the underlying gauge symmetries. I will particularly focus on a recent result that the 2-dimensional Euclidean YM measure is invariant for its associated dynamic. I will describe some steps in the proof of this result, which is based on lattice approximations and Bourgain’s globalisation argument. A novelty of the approach is in the use of geometric arguments to show uniqueness of the limiting continuum dynamic. I will also present some consequences, including universality and regularity properties of the 2D YM measure, and discuss the challenges in extending the result to 3 dimensions. Based on joint works with Ajay Chandra, Martin Hairer, and Hao Shen.
You are here
The invariant measure of the 2D Yang-Mills Langevin dynamic
Research Group:
Speaker:
Ilya Chevyrev
Institution:
University of Edinburgh
Schedule:
Thursday, April 11, 2024 - 14:00 to 16:00
Location:
A-133
Abstract:
Links
- Call of interest for positions in mathematics at SISSA
- Public Calls for Professors
- Temporary Researchers
- Temporary Technologists
- Research Fellowships
- Open positions in MathLab
- SISSA Mathematical Fellowships
- PhD Scolarships
- SIS Fellowships
- Pre-PhD Fellowships
- MSc in Mathematics
- Master Degree in Data Science and Scientific Computing
- Professional Master Courses
- SISSA Mathematics Medals
- SISSA Springer Series
Upcoming events
-
Daniel Hernández Ruipérez
Algebraic supergeometry and moduli of stable supermaps
Tuesday, February 18, 2025 - 16:00
-
Jinpeng Lu
On the stability of Gel'fand's inverse problem
Wednesday, February 19, 2025 - 14:00
-
Wei Cheng
Singularity Propagation: Dynamic and Transport Perspectives
Wednesday, February 26, 2025 - 14:00 to 15:00
-
Daniel Hernández Ruipérez
Algebraic supergeometry and moduli of stable supermaps
Tuesday, February 18, 2025 - 16:00
Today's Lectures
-
09:00 to 11:00
-
09:00 to 11:00
Recent publications
-
G.P. Leonardi; G. Saracco,Rigidity and trace properties...
-
S. Bianchini; G.Maria Leccese,Existence and blow-up for non-...
-
M. Berti; S. Cuccagna; F. Gancedo; S. Scrobogna,Paralinearization and extended...
-
G. Ortali; F. Toschi; J.W. van de Meent,Modeling Droplets Dynamics in...