Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model

TL;DR

This paper analyzes the interaction between flat membranes and point-like gravitons in a plane-wave matrix model, calculating the effective potential and providing evidence for the smearing effect in such configurations.

Contribution

It computes the one-loop effective potential in the plane-wave matrix model, revealing the r^{-3} interaction indicative of the smearing effect, thus supporting theoretical interpretations.

Findings

Effective potential scales as r^{-3} at large distances

Supports the interpretation of smearing effect in membrane-graviton interactions

Provides evidence for membrane configuration effects in plane-wave backgrounds

Abstract

We investigate the interaction between flat membrane and point-like graviton in the plane-wave matrix model. The one-loop effective potential in the large distance limit is computed and is shown to be of r^{-3} type where r is the distance between two objects. This type of interaction has been interpreted as the one incorporating the smearing effect due to the configuration of flat membrane in plane-wave background. Our result supports this interpretation and provides one more evidence about it.