It has been observed that, given an algebraic quantum field theory (AQFT) on a manifold M and an open cover {Mα} of M, it is typically not possible to recover the global algebra of observables on M by simply gluing the underlying local algebras subordinate to {Mα}. Instead of gluing local algebras, we introduce a gluing construction for AQFTs subordinate to {Mα} and we show that for simple examples of AQFTs, constructed out of geometric data, gluing the local AQFTs subordinate to {Mα} recovers the global AQFT on M.
Gluing Algebraic Quantum Field Theories on Manifolds
Anastopoulos A.;Benini M.
2025-01-01
Abstract
It has been observed that, given an algebraic quantum field theory (AQFT) on a manifold M and an open cover {Mα} of M, it is typically not possible to recover the global algebra of observables on M by simply gluing the underlying local algebras subordinate to {Mα}. Instead of gluing local algebras, we introduce a gluing construction for AQFTs subordinate to {Mα} and we show that for simple examples of AQFTs, constructed out of geometric data, gluing the local AQFTs subordinate to {Mα} recovers the global AQFT on M.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Ann. Henri Poincaré 26 (2025) 4205.pdf
accesso aperto
Descrizione: https://link.springer.com/content/pdf/10.1007/s00023-024-01529-9.pdf
Tipologia:
Documento in versione editoriale
Dimensione
642.91 kB
Formato
Adobe PDF
|
642.91 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
