2013/03/07 by Torsten Aßelmeyer-Maluga, Torsten Asselmeyer-Maluga, Asselmeyer-Maluga, Torsten +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1303.1632
12 pages
arxiv created 2013/03/07 · openalex publication_date 2013/03/07 · arxiv updated 2013/03/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that pure SU(2) Yang-Mills theory formulated on certain exotic R4 from the radial family shows confinement. The condensation of magnetic monopoles and the qualitative form of the Higgs potential are derived from the exotic R4, e. A relation between the Higgs potential and inflation is discussed. Then we obtain a formula for the Higgs mass and discuss a particular smoothness structure so that the Higgs mass agrees with the experimental value. The singularity in the effective dual U(1) potential has its cause by the exotic 4-geometry and agrees with the singularity in the maximal abelian gauge scenario. We will describe the Yang-Mills theory on e in some limit as the abelian-projected effective gauge theory on the standard R4. Similar results can be derived for SU(3) Yang-Mills theory on an exotic R4 provided dual diagonal effective gauge bosons propagate in the exotic 4-geometry.