Beta functions and multi-scalar gauge theory

by Nadia Flodgren (Stockholm University)

Monday 29 May 2023, 10:00 → 12:00 Europe/Stockholm

AlbaNova A5:1041 - CoPS grupprum (AlbaNova Main Building)

In this licentiate thesis, we provide the context and background for our work One-loop
algebras and fixed flow trajectories in adjoint multi-scalar gauge theory (published in JHEP)
on the renormalization group flow for a multi-scalar SU(N) gauge theory. The background
consists of a description of renormalization group flow, with a focus on beta functions and
how to find fixed points, and multi-scalar theories. In the article we perform one-loop beta
function calculations in an adjoint, massless, multi-scalar Yang-Mills theory with a quartic
scalar interaction, in four dimensions and at large N. We calculate the coupled renormalization group flows for this theory using an algebraic description we develop. The
results show that to one-loop order real fixed points in the parameter space of the scalar
coupling and gauge coupling do not occur.