# Canonical Interacting Quantum Fields on Two-Dimensional De Sitter Space

## TL;DR

This paper formulates the ${
m P}( ext{ extphi})_2$ quantum field model on two-dimensional de Sitter space using canonical methods, deriving explicit expressions for the energy-stress tensor and analyzing symmetries.

## Contribution

It introduces a canonical formulation of the ${
m P}( ext{ extphi})_2$ model on de Sitter space and provides explicit energy-stress tensor expressions, advancing understanding of quantum fields in curved spacetime.

## Key findings

- Explicit energy-stress tensor expressions derived.
- Discussion of Noether theorem in curved spacetime context.
- Formulation of the interacting quantum field model on de Sitter space.

## Abstract

We present the ${\mathscr P}(\varphi)_2$ model on de Sitter space in the canonical formulation. We discuss the role of the Noether theorem and we provide explicit expressions for the energy-stress tensor of the interacting model.