1:30 pm MCP 201
Solving a strongly interacting scalar quantum field theory in four dimensions.
Asymptotically free quantum field theories form the cornerstone of a fundamental description of nature within the Standard Model of particle physics. While the perturbative behavior at short distances has been studied in a variety of models, the strongly coupled physics at large distances remains intractable in four dimensions. In this talk I will present an asymptotically free scalar quantum field theory with global O(N)^3 symmetry in four dimensions that we solve numerically in closed form in the large-N limit.
I will demonstrate that in the strongly interacting infrared limit the running coupling remains finite for non-vanishing renormalized mass. These features make the model an important laboratory for the study of strong-coupling phenomena in quantum field theory from first principles.