Report
The Maxwell-Proca theory: definition and construction
| العنوان: | The Maxwell-Proca theory: definition and construction |
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| المؤلفون: | Díez, Verónica Errasti, Gording, Brage, Méndez-Zavaleta, Julio A., Schmidt-May, Angnis |
| المصدر: | Phys. Rev. D 101, 045009 (2020) |
| سنة النشر: | 2019 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We present a systematic construction of the most general first order Lagrangian describing an arbitrary number of interacting Maxwell and Proca fields on Minkowski spacetime. To this aim, we first formalize the notion of a Proca field, in analogy to the well known Maxwell field. Our definition allows for a non-linear realization of the Proca mass, in the form of derivative self-interactions. Consequently, we consider so-called generalized Proca/vector Galileons. We explicitly demonstrate the ghost-freedom of this complete Maxwell-Proca theory by obtaining its constraint algebra. We find that, when multiple Proca fields are present, their interactions must fulfill non-trivial differential relations in order to ensure the propagation of the correct number of degrees of freedom. These relations had so far been overlooked, which means previous multi-Proca proposals generically contain ghosts. This is a companion paper to arXiv:1905.06968 [hep-th]. It puts on a solid footing the theory there introduced. Comment: 9 pages + 8 pages appendix. v2: References added. v3: Footnote 3 deleted. v4: Journal version. This work is dedicated to Mar\'{i}a Jos\'{e} D\'{i}ez Segoviano |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.101.045009 |
| URL الوصول: | http://arxiv.org/abs/1905.06968 |
| رقم الانضمام: | edsarx.1905.06968 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.101.045009 |
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