Quantum fields in the future Rindler wedge

TL;DR

This paper explores the behavior of interacting massive scalar quantum fields in the future Rindler wedge, analyzing how correlation functions depend on initial conditions, mode choices, and symmetry considerations in curved spacetime.

Contribution

It provides a detailed analysis of quantum field dynamics in the Rindler wedge, highlighting the impact of initial states and mode choices on correlation functions in curved spacetime.

Findings

Correlation functions depend on initial Cauchy surface and mode basis.

Certain mode choices preserve Poincare symmetry in the Rindler wedge.

The study clarifies how initial states influence quantum field dynamics in curved spacetime.

Abstract

We consider interacting massive scalar quantum field theory in the future Rindler wedge. This is a model example of quantum field theory in curved space--time. On this simple example we show how dynamics of correlation functions depends on the choice of initial Cauchy surface, basis of modes and on the choice of initial state build with the use of the corresponding creation and annihilation operators. We show which choice of modes in the future Rindler wedge respects Poincare symmetry. But we do not restrict our attention only to these modes and the corresponding state.