Leading all-loop quantum contribution to the effective potential in general scalar field theory
Seminar “Quantum field theory”
Date and Time: Wednesday, 25 January 2023, at 11:00 AM
Venue: Online seminar on Zoom, Blokhintsev Conference Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: “Leading all-loop quantum contribution to the effective potential in general scalar field theory”
Speaker: D. M. Tolkachev
The generalised renormalization group equation for the effective potential in the leading log approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading log contributions to all orders of perturbation theory. In general, this is the second order nonlinear partial differential equation, but in some cases it can be reduced to the ordinary one. For particular examples, this equation is solved numerically and the effective potential is constructed.