General Covariance in Algebraic Quantum Field Theory

2005/12/17 by Romeo Brunetti, Brunetti, Romeo, Martin Porrmann +3
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.math-ph/0512059

openalex publication_date 2005/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this review we report on how the problem of general covariance is treated within the algebraic approach to quantum field theory by use of concepts from category theory. Some new results on net cohomology and superselection structure attained in this framework are included.

Citations

• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem
• Die Grundlage der allgemeinen Relativitätstheorie
• The Logic of Quantum Mechanics

Related

• Algebraic Quantum Field Theory
• Algebraic Quantum Field Theory -- an introduction
• Algebra for quantum fields
• Algebraic approach to Quantum Field Theory
• A Cohomological Perspective on Algebraic Quantum Field Theory