Perturbative renormalization of ${\varphi }_4^4$ theory on the half space ${\mathbb{R}}^{+}\times {\mathbb{R}}^3$ with flow equations

Majdouline Borji, Christoph Kopper

In this paper, we give a rigorous proof of the renormalizability of the massive ${\varphi }_4^4$ theory on a half-space, using the renormalization group flow equations. We find that five co…