Local modes, local vacuum, local bogoljubov coefficients and the renormalised stress tensor

TL;DR

This paper explores the concept of local modes and particles in curved spacetime, demonstrating that the renormalised stress tensor can be understood as the energy difference between the physical vacuum and local-mode-defined vacuum.

Contribution

It introduces a framework for defining local modes and particles in curved spacetime and relates the renormalised stress tensor to vacuum energy differences.

Findings

Local modes resemble Minkowski modes at any spacetime point

Renormalised stress tensor equals energy difference between vacua

Provides a new perspective on vacuum energy in curved spacetime

Abstract

Local modes and local particles are defined at any point in curved space time as those that most resemble Minkowsky modes at that point. It is shown that the renormalised stress tensor is the difference of energy between the physical vacuum and that defined by these local modes.