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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
