流形上的胶合代数量子场论

IF 1.3 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2025-01-08 DOI:10.1007/s00023-024-01529-9

Angelos Anastopoulos, Marco Benini

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引用次数: 0

摘要

已经观察到，给定流形M上的代数量子场论（AQFT）和M的开盖\(\{M_\alpha \}\)，通常不可能通过简单地粘接从属于\(\{M_\alpha \}\)的底层局部代数来恢复M上的可观察对象的全局代数。我们没有将局部代数粘接在一起，而是引入了隶属于\(\{M_\alpha \}\)的AQFT的粘接构造，并且我们证明了对于由几何数据构造的AQFT的简单示例，将隶属于\(\{M_\alpha \}\)的局部AQFT粘接在M上恢复全局AQFT。

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Gluing Algebraic Quantum Field Theories on Manifolds

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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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.