Research Paper#Quantum Field Theory, Conformal Field Theory, Operator Algebras🔬 ResearchAnalyzed: Jan 3, 2026 06:38
Local Approximations of Global Hamiltonian in QFT
Published:Dec 31, 2025 18:55
•1 min read
•ArXiv
Analysis
This paper explores a novel approach to approximating the global Hamiltonian in Quantum Field Theory (QFT) using local information derived from conformal field theory (CFT) and operator algebras. The core idea is to express the global Hamiltonian in terms of the modular Hamiltonian of a local region, offering a new perspective on how to understand and compute global properties from local ones. The use of operator-algebraic properties, particularly nuclearity, suggests a focus on the mathematical structure of QFT and its implications for physical calculations. The potential impact lies in providing new tools for analyzing and simulating QFT systems, especially in finite volumes.
Key Takeaways
- •Proposes a method to approximate the global Hamiltonian using local information.
- •Leverages the modular Hamiltonian and operator-algebraic properties.
- •Focuses on the mathematical structure of QFT and its implications.
- •Offers potential new tools for analyzing and simulating QFT systems.
Reference
“The paper proposes local approximations to the global Minkowski Hamiltonian in quantum field theory (QFT) motivated by the operator-algebraic property of nuclearity.”