Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators

IF 2.8 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2025-05-12 DOI:10.1016/j.nuclphysb.2025.116942

M.S. Guimaraes , I. Roditi , S.P. Sorella , A.F. Vieira

引用次数: 0

Abstract

The use of the vacuum projector

| 0 〉 〈 0 |

and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Quantum Field Theory in Minkowski spacetime. Employing test functions supported in diamond regions, both Bell and Mermin inequalities are studied by means of a numerical setup. In addition to reporting expressive violations of both inequalities, the cluster property is also checked.

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量子场论中的Bell和Mermin不等式与真空投影和Weyl算子

利用真空投影仪|0 > < 0|和酉Weyl算子，我们在闵可夫斯基时空的相对论标量量子场论中构造了一组厄米二分算子。利用菱形区域支持的测试函数，通过数值设置研究了Bell不等式和Mermin不等式。除了报告对这两个不等式的明显违反外，还检查集群属性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.