Effective action and brane running

TL;DR

This paper derives a renormalized effective action for a Randall-Sundrum brane in 5D, showing how the brane's position affects the low-energy 4D physics without altering the background, and discusses its implications.

Contribution

It introduces a method to analyze brane running in 5D and derives an effective 4D action with a position-independent Planck mass after renormalization.

Findings

Effective 4D Planck mass is independent of brane position.

Brane running can be described without changing background or fluctuations.

Renormalized action provides insights into low-energy braneworld physics.

Abstract

We address the renormalized effective action for a Randall-Sundrum brane running in 5d bulk space. The running behavior of the brane action is obtained by shifting the brane-position without changing the background and the fluctuations. After an appropriate renormalization, we obtain an effective, low energy braneworld action, in which the effective 4d Planck mass is independent of the running-position. We address some implications of this effective action.