Adiabatic regularization for spin-$1$ fields

التفاصيل البيبلوغرافية
العنوان: Adiabatic regularization for spin-$1$ fields
المؤلفون: Marañón-González, F. Javier, Navarro-Salas, José
سنة النشر: 2023
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: General Relativity and Quantum Cosmology, High Energy Physics - Theory
الوصف: We analyze the adiabatic regularization scheme to renormalize Proca fields in a four-dimensional Friedmann-Lema\^{i}tre-Robertson-Walker spacetime. The adiabatic method is well established for scalar and spin-$1/2$ fields, but is not yet fully understood for spin-$1$ fields. We give the details of the construction and show that, in the massless limit, the renormalized stress-energy tensor of the Proca field is closely related to that of a minimally coupled scalar field. Our result is in full agreement with other approaches, based on the effective action, which also show a discontinuity in the massless limit. The scalar field can be naturally regarded as a St\"ueckelberg-type field. We also test the consistency of our results in de Sitter space.
Comment: 10 pages. V2: minor changes, misprints corrected, matches the published version (Phys. Rev. D)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.11860
رقم الأكسشن: edsarx.2310.11860
قاعدة البيانات: arXiv