双锥模算子的质量依赖性

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2023-05-04 DOI:10.1007/s00023-023-01311-3

Henning Bostelmann, Daniela Cadamuro, Christoph Minz

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引用次数: 5

摘要

我们给出了线性量子场中局部子代数的Tomita-Takesaki模算子在单粒子水平上的数值逼近格式。利用时间-0数据在位置空间的离散化，将此方法应用于\((1+1)\)维和\((3+1)\)维闵可夫斯基时空中大质量标量自由场真空扇形中的双锥局部子空间。在楔形区域的情况下，模块化发生器的一个组成部分是众所周知的与质量无关的乘法算子;我们的结果强烈地表明，对于双锥，相应的分量至少仍然接近于乘法算子，但它依赖于质量和角动量。

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On the Mass Dependence of the Modular Operator for a Double Cone

We present a numerical approximation scheme for the Tomita–Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to the local subspaces for double cones in the vacuum sector of a massive scalar free field in \((1+1)\)- and \((3+1)\)-dimensional Minkowski spacetime, using a discretization of time-0 data in position space. In the case of a wedge region, one component of the modular generator is well known to be a mass-independent multiplication operator; our results strongly suggest that for the double cone, the corresponding component is still at least close to a multiplication operator, but that it is dependent on mass and angular momentum.

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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.