28 May 2017 to 2 June 2017
Queen's University
America/Toronto timezone
Welcome to the 2017 CAP Congress! / Bienvenue au congrès de l'ACP 2017!

Non-perturbative calculations in scalar theories

31 May 2017, 12:00
15m
Botterell B143 (Queen's University)

Botterell B143

Queen's University

CLOSED - Oral (Non-Student) / orale (non-étudiant) Theoretical Physics / Physique théorique (DTP-DPT) W2-4 Fields and Strings (DTP) | Champs et cordes (DPT)

Speaker

Prof. Margaret Carrington (Brandon University)

Description

Non-perturbative techniques are needed to study strongly coupled systems.
One popular method is the 2 particle irreducible (2pi) effective theory.
For scalar theories, calculations at the 3 loop level show improved convergence, relative to perturbative results.
We present results in $\phi^4$ theory at the 4 loop level which show that convergence breaks down at large coupling.
This indicates the need for higher order effective theories.
4pi calculations in 4 dimensions have never been attempted, because no method is known to deal with the overlapping sub-divergences that appear in these theories. We present a new technique to renormalize the 4pi effective theory, based on a renormalization group approach.

Primary author

Prof. Margaret Carrington (Brandon University)

Presentation materials