Boundary Conditions as Dynamical Fields

TL;DR

This paper formalizes boundary conditions as dynamical bilocal fields within a boundary action framework, enabling a perturbative approach to phenomena like radiation from time-dependent boundaries.

Contribution

It introduces a novel formalism representing boundary conditions as dynamical fields, expanding the theoretical toolkit for boundary-related physical effects.

Findings

Boundary conditions modeled as bilocal dynamical fields.

Path-integral perturbation theory applied to boundary effects.

Analysis includes Robin boundary conditions.

Abstract

The possibility of treating boundary conditions in terms of a bilocal dynamical field is formalized in terms of a boundary action. This allows for a simple path-integral perturbation theory approach to physical effects such as radiation from a time-dependent boundary. The nature of the action which governs the dynamics of the bilocal field is investigated for a limited case (which includes the Robin boundary conditions).