2021/02/19 by A. V. Kisselev, В. А. Петров, V. A. Petrov · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Coupling (piping) #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scalar (mathematics) #Space (punctuation) #Spacetime #TRACE (psycholinguistics) #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.103.085012
published in Physical review. D/Physical review. D. 103(8) (American Physical Society) · 25 pages, 2 figures. Typos in two formulas are correted
arxiv created 2021/02/19 · openalex created_date 2021/03/01 · openalex publication_date 2021/04/27 · arxiv updated 2021/05/05 · openalex updated_date 2026/08/05
We trace what happens with asymptotically free behavior of the running coupling in \ensuremathφ3 theory in six-dimensional spacetime, if to compactify two spatial dimensions on a 2D closed manifold. The result can be considered as an effective 4D theory of infinitely many KK-type scalar fields with triple interactions. The effective dimensional coupling constant inherits running to zero at high mass scales in a modified form depending on the size of the compact manifold. Some physical implications are discussed.