论文标题
相对论量子场理论中有关clauser-horne shorne-holt-holt不平等的评论
Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory
论文作者
论文摘要
我们对$ CHSH $不平等的调查中的相对论量子场理论模型构建了一对免费的大规模标量字段$（φ_A，φ_b）$，在这种情况下，由于习惯是指数$（a，b）$，分别是指爱丽丝和鲍勃。通过使用Weyl操作员，引入了一组有界的Hermitian操作员。通过规范量化，在Fock真空中构建和评估A $ CHSH $类型相关器。尽管观察到的违反$ CHSH $不平等现象相当小，而与Tsirelson的量子力学相比，该模型可以用于研究Bell的不平等现象，例如：诸如Higgs模型，例如：HIGGS模型，用于哪种本地$ BRST $ BRST $不可发射的操作员，并描述了大量的Goson Boson和Higg and Higg以及Higg and Higg以及Higg的范围。这些操作员可以自然地进行启用，从而导致$ BRST $不变类型的Weyl操作员有助于分析贝尔在不变的$ BRST $环境中的不平等现象。
We present an investigation of the $CHSH$ inequality within a relativistic quantum field theory model built up with a pair of free massive scalar fields $(φ_A, φ_B)$ where, as it is customary, the indices $(A,B)$ refer to Alice and Bob, respectively. A set of bounded Hermitian operators is introduced by making use of the Weyl operators. A $CHSH$ type correlator is constructed and evaluated in the Fock vacuum by means of the canonical quantization. Although the observed violation of the $CHSH$ inequality turns out to be rather small as compared to Tsirelson's bound of Quantum Mechanics, the model can be employed for the study of Bell's inequalities in the more physical case of gauge theories such as: the Higgs models, for which local $BRST$ invariant operators describing both the massive gauge boson as well as the Higgs particle have been devised. These operators can be naturally exponentiated, leading to $BRST$ invariant type of Weyl operators useful to analyze Bell's inequalities within an invariant $BRST$ environment.
