Effective Potential in PP-Wave Geometry

TL;DR

This paper computes effective potentials for scalar fields in ten-dimensional maximally supersymmetric pp-wave backgrounds using light-cone methods, including Yan's formula and a momentum cutoff, validated against Minkowski spacetime.

Contribution

It introduces two novel methods for calculating effective potentials in light-cone formulations on pp-wave backgrounds, extending techniques to curved spacetime.

Findings

Effective potentials are successfully computed in the pp-wave background.

The methods are validated by comparison with Minkowski spacetime results.

The paper demonstrates the applicability of light-cone techniques in curved backgrounds.

Abstract

We calculate effective potentials in scalar field theories on the maximally supersymmetric pp-wave background in ten dimensions. For this purpose we have to work in the light-cone formulation, and hence we introduce two methods to compute them in the light-cone frame. One is to use the Yan's formula for evaluating one-loop correction terms. The other is to introduce a cut-off for the light-cone momentum. These methods are also confirmed in the case of Minkowski spacetime.