# Perturbative renormalization by the flow equations of boundary field theory

#### Perturbative renormalization by the flow equations of boundary field theory

- Event time: 2:00pm until 3:00pm
- Event date: 29th November 2023
- Speaker: Majdouline Borji (Ecole Polytechnique)
- Location: Room 5326, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

Title:

Perturbative renormalization by the flow equations of boundary field theory

Abstract:

The aim of this talk is to give an overview of the rigorous proof of perturbative renormalization based on the Polchinski flow equation. First, I will explain the general method for the simple case of the massive scalar field theory with a quartic self-interaction in the full space $\mathbb{R}^4$. Then, I will explain the difficulties one encounters for theories that break translation invariance, in particular by the presence of a surface. This problem will be adressed by studying the renormalization problem of the scalar fieldĀ model defined on a half-space as an example of a Euclidean boundary field theory. I will present our main results in this direction based on uniform bounds with respect to the UV cutoff of the correlators, which compared to the translationally invariant case, require some weight factors that account for their distributional structure when considered in position space.

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..