Classical and Quantum Fields on Lorentzian Manifolds

TL;DR

This paper develops a framework for constructing and analyzing bosonic and fermionic quantum fields on curved Lorentzian manifolds, focusing on their covariant properties and quantum correlations.

Contribution

It introduces a general method for defining locally covariant quantum field theories for a wide range of fields on curved spacetimes, including analysis of their quantum states.

Findings

Construction of covariant quantum field theories on curved backgrounds

Analysis of n-point functions and quantum states

Applicability to large classes of fields

Abstract

We construct bosonic and fermionic locally covariant quantum field theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.