Polar form of Dirac fields: implementing symmetries via Lie derivative

التفاصيل البيبلوغرافية
العنوان: Polar form of Dirac fields: implementing symmetries via Lie derivative
المؤلفون: Fabbri, Luca, Vignolo, Stefano, Cianci, Roberto
المصدر: Lett. Math. Phys. 114, 21 (2024)
سنة النشر: 2023
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics
الوصف: We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: by using the polar decomposition we acquire the mean to study the implementation of symmetries on Dirac fields. Specifically, we will become able to examine under what conditions it is equivalent to impose a symmetry upon a spinor or only upon its observables. For one physical application, we discuss the role of the above analysis for the specific spherical symmetry, obtaining some no-go theorem regarding spinors and discussing the generality of our approach.
Comment: 10 pages
نوع الوثيقة: Working Paper
DOI: 10.1007/s11005-024-01770-7
URL الوصول: http://arxiv.org/abs/2310.10678
رقم الأكسشن: edsarx.2310.10678
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s11005-024-01770-7