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An Equivalent Gauge and the Equivalence Theorem

2013/09/30 by Andrea Wulzer · 40 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Dark Matter and Cosmic Phenomena #Equivalence (formal languages) #Feynman diagram #Formalism (music) #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2014.05.021

published in Nuclear Physics B 885, 97-126 (Elsevier BV) · 36 pages, 2 figures. In v2: references added and typos corrected; comparison with arXiv:1106.5537 added

arxiv created 2013/10/24 · openalex publication_date 2014/05/27 · arxiv updated 2014/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

I describe a novel covariant formulation of massive gauge theories in which the longitudinal polarization vectors do not grow with the energy. Therefore in the present formalism, differently from the ordinary one, the energy and coupling power-counting is completely transparent at the level of individual Feynman diagrams, with obvious advantages both at the conceptual and practical level. Since power-counting is transparent, the high-energy limit of the amplitudes involving longitudinal particles is immediately taken, and the Equivalence Theorem is easily demonstrated at all orders in perturbation theory. Since the formalism makes the Equivalence Theorem self-evident, and because it is based on a suitable choice of the gauge, we can call it an “Equivalent Gauge”.

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