弯曲时空中量子场论的解析状态

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL Annales Henri Poincaré Pub Date : 2024-02-16 DOI:10.1007/s00023-024-01419-0

Alexander Strohmaier, Edward Witten

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引用次数: 0

摘要

摘要我们讨论了弯曲时空中（可能相互作用的）量子场状态的高能特性。特别是，如果时空是实解析的，我们证明，对于满足弱形式微局域解析条件的态，时间似管定理和里赫-施里德尔性质的类似物是成立的。前者意味着类时管的冯-诺依曼可观测变量代数等于一个更大区域的冯-诺依曼可观测变量代数，而这个区域是通过类时管边界变形得到的。这将荒木（Helv Phys Acta 36:132-139, 1963）和波切斯（Nuovo Cim (10) 19:787-793, 1961）的定理推广到了弯曲时空。

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Analytic States in Quantum Field Theory on Curved Spacetimes

We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh–Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Araki (Helv Phys Acta 36:132–139, 1963) and Borchers (Nuovo Cim (10) 19:787–793, 1961) to curved spacetimes.

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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.