Dirichlet boundary condition for the Lee-Wick-like scalar model

TL;DR

This paper analyzes the effects of Dirichlet boundary conditions on a Lee-Wick-like scalar model, computing the modified propagator and interaction with a point charge, highlighting differences from standard models.

Contribution

It introduces a detailed analysis of boundary effects in Lee-Wick scalar models, including propagator modifications and interaction behavior near a Dirichlet plate.

Findings

Modified scalar propagator due to boundary conditions

Interaction between scalar charge and boundary analyzed

Image method's non-validity demonstrated

Abstract

Lee-Wick-like scalar model near a Dirichlet plate is considered in this work. The modified propagator for the scalar field due to the presence of a Dirichlet boundary is computed, and the interaction between the plate and a point-like scalar charge is analysed. The non-validity of the image method is investigated and the results are compared with the corresponding ones obtained for the Lee-Wick gauge field and for the standard Klein-Gordon field.