On revolutionizing quantum field theory with Tomita’s modular theory

By Erwin Schrödinger International, H. Borchers. 2000

244 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/426edf3b962ce5c1288502350a7c5147d941f93e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. H. Casini
2. G. Torroba
3. E. Witten
4. Eduardo Testé

In Geometry and Topology

1. H. Casini
2. G. Torroba
3. E. Witten
4. Eduardo Testé
5. D. Gaiotto
6. Tudor Dimofte
7. Sergei Gukov
8. Mina Aganagic

In Mathematical Physics

1. H. Casini
2. G. Torroba
3. E. Witten
4. Eduardo Testé
5. Sergei Gukov
6. D. Gaiotto
7. Tudor Dimofte
8. Dan Xie

Citations in the corpus

• Modular Hamiltonians on the null plane and the Markov property of the vacuum state (2017, methodology): “Our results are heavily based on the investigations about half-sided modular inclusions that were developed in the algebraic approach to QFT [17, 27].”
• Notes on Some Entanglement Properties of Quantum Field Theory (2018, methodology): “The result is sometimes called the Borchers timelike tube theorem [44–47].”
• APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory (2018, methodology): “Here (following (Borchers, 2000)) we will prove a result relating the modular operators ∆Ψ;U and ∆Ψ; Ũ for a pair of open sets U , Ũ with Ũ ⊂ U .”