Bulk versus brane running couplings

TL;DR

This paper investigates how quantum effects in a 6D Randall-Sundrum-like model influence the running of brane couplings, revealing that bulk interactions can significantly alter the renormalization flow and potentially change the theory's asymptotic behavior.

Contribution

It demonstrates that bulk quantum effects can drastically modify the running of brane couplings, including the structure of Landau poles and asymptotic safety.

Findings

Bulk quantum effects can alter the running of brane couplings.

The structure of Landau poles can be drastically changed.

Non-asymptotically free running may become asymptotically safe or free.

Abstract

A simplified higher dimensional Randall-Sundrum-like model in 6 dimensions is considered. It has been observed previously by Goldberger and Wise that in such a self-interacting scalar theory on the bulk with a conical singularity there is mixing of renormalization of 4d brane couplings with that of the bulk couplings. We study the influence of the running bulk couplings on the running of the 4d brane couplings. We find that bulk quantum effects may completely alter the running of brane couplings. In particular, the structure of the Landau pole may be drastically altered and non-asymptotically free running may turn into asymptotically safe (or free) behavior.