General Covariance in Algebraic Quantum Field Theory
Romeo Brunetti, Martin Porrmann, Giuseppe Ruzzi
TL;DR
This paper reviews how the algebraic approach to quantum field theory addresses general covariance using category theory, highlighting new results in net cohomology and superselection structures.
Contribution
It introduces novel insights into the treatment of general covariance in algebraic quantum field theory through categorical methods.
Findings
New results on net cohomology
Advances in superselection structure understanding
Framework for covariance in algebraic QFT
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research · Algebraic structures and combinatorial models