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arXiv · 2404.09638

Gluing algebraic quantum field theories on manifolds

Angelos Anastopoulos·Marco Benini
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Abstract

It has been observed that, given an algebraic quantum field theory (AQFT) on a manifold $M$ and an open cover $\{M_\alpha\}$ 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 $\{M_\alpha\}$. Instead of gluing local algebras, we introduce a gluing construction for AQFTs subordinate to $\{M_\alpha\}$ and we show that for simple examples of AQFTs, constructed out of geometric data, gluing the local AQFTs subordinate to $\{M_\alpha\}$ recovers the global AQFT on $M$.

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BibTeXRIS

Angelos Anastopoulos, Marco Benini. 2024-04-15. Gluing algebraic quantum field theories on manifolds. https://doi.org/10.1007/s00023-024-01529-9

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