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تسجيل مستخدم جديدنظرية الحقل الكموني على الخلفيات المنحنية. II. تناسق المكان والزمن
Quantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries
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تأليف
Arthur Jaffe
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نحن ندرس التناسقات الزمنية-الفضائية في نظرية الحقل الكمي المقيد (بما في ذلك النظريات التفاعلية) على الأماكن الثابتة. نحن نعتبر أولا نظرية الحقل الكمي اليوكليدي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي اللورنتزي على مخطط متوسطي ثابت، ونظرية الحقل الكمي ال
We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean quantum field theory on a static Riemannian manifold, and show that the isometry group is generated by one-parameter subgroups which have either self-adjoint or unitary quantizations. We analytically continue the self-adjoint semigroups to one-parameter unitary groups, and thus construct a unitary representation of the isometry group of the associated Lorentzian manifold. The method is illustrated for the example of hyperbolic space, whose Lorentzian continuation is Anti-de Sitter space.
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