Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman
Description:
Quantum gauge theories, such as Yang-Mills theories with gauge group SU(N), play a fundamental role in particle physics and are central to one of the Clay Millennium Prize problems.
Lattice approximations of these theories reveal deep connections with spin systems,
which are models from condensed matter physics that generalize the Ising model.
A striking parallel between these fields is observed in the behavior of 2D spin systems and 4D gauge theories, both of which display asymptotic freedom and mass generation.
However, the mathematical understanding of non-abelian gauge theories and spin systems remains a significant challenge.
This workshop aims to bring together experts to explore these developments and tackle open problems, including:
- long-time study of stochastic Yang-Mills flow
- the development of probabilistic approaches for non-abelian and continuous symmetry models
- connections between lattice gauge theory and random geometric methods
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.