2000/07/22 by M. V. Altaisky, M. V. Altaĭsky, Altaisky, M. V.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0007180
9 pages, AMS-LaTeX
openalex publication_date 2000/07/22 · arxiv created 2000/09/14 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
The ϕ4 field model is generalized to the case when the field ϕ(x) is defined on a Lie group: S[ϕ]=∫x∈ G L[ϕ(x)] dμ(x), dμ(x) is the left-invariant measure on a locally compact group G. For the particular case of the affine group G:x'=ax+b,a∈\R+, x,b ∈ \Rn t he Feynman perturbation expansion for the Green functions is shown to have no ultra-violet divergences for certain choice of λ(a) ∼ aν.