Daniel Litim, U. Sussex, [HET Seminar], Fixed points in 4d quantum field theories - and what they can do for us

Thursday May 29, 2025, 11:00 AM → 12:00 PM US/Eastern

Small Seminar Room (https://bnl.zoomgov.com/j/1605506805?pwd=AA9rwL4hM5AwG2b0zEwDdXjzhvJjSz.1)

Fixed points in quantum and statistical field theory are responsible for
a range of phenomena. Low energy fixed points often entail quantum,
thermal, or topological phase transitions alongside symmetry breaking
or the generation of mass. High energy fixed points are at the root of
a fundamental definition of QFT such as in asymptotic freedom or safety.

In this talk, I investigate the landscape of interacting UV or IR fixed points
in 4d theories for particle physics. I provide an overview of rigorous results
at weak coupling including strict no-go theorems and concrete examples. I also
discuss how findings are modified by supersymmetry. Results offer new
directions for model building, and links with conformal field theory. If time
permits, I'll also report on the status for fixed points in quantum gravity.