Abstract:
Traditionally, scalar phi^4 theory in four dimensions is thought to be quantum trivial in
the continuum. In this talk, I critically review what quantum triviality is, and in
particular which parts of the idea have actually been mathematically proved as
opposed to just assumed to be true. I go on to exploit loopholes in the mathematical
proofs, notably multi-component fields, to present a concrete calculation that avoids
quantum triviality in scalar phi4 theory in the continuum. There is a price to pay to
avoid triviality, but there are also potentially rich rewards. Your mileage will vary.
Whatever the outcome, it is great fun to work on this subject!
What if phi^4 theory in 4 dimensions is non-trivial in the continuum?
04.11.2025 14:00 - 15:30
Organiser:
S. Fredenhagen, M. Sperling
Location: