Spontaneous compactification of D=5 two-form gauge fields and the obtainment of Maxwell and Yang-Mills theories

1997/12/16 by J. Barcelos‐Neto, J. Barcelos-Neto, Barcelos-Neto, J.
Computer Science · Environmental Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Distributed and Parallel Computing Systems #FOS: Physical sciences #Gauge theory #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Methane Hydrates and Related Phenomena #Physics #Pure mathematics #Quantum electrodynamics #Theoretical physics #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9712158

published in arXiv (Cornell University) (Cornell University) · 14 pages, Latex. Enlarged and revised version. To appear in Journal of Mathematical Physics

openalex publication_date 1997/12/16 · arxiv created 2000/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the spontaneous compactification of the Abelian and non-Abelian two-form gauge field theories from D=4+1 to D=3+1 leads to the same theories plus the Maxwell and Yang-Mills ones, respectively. The vector potential comes from the zero mode of the fifth component of the tensor gauge field in D=5. Concerning to the non-Abelian case, it is necessary to make a more refined definition of the three-form stress tensor in order to be compatible, after the compactification, with the two-form stress tensor of the Yang-Mills theory.

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