1992/07/24 by Paul A. Griffin · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Critical point (mathematics) #Light cone #Mathematical analysis #Mathematical physics #Mathematics #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.46.3538
published as Phys.Rev. D46 (1992) 3538-3543 · 8 pages, UFIFT-HEP-92-17
arxiv created 1992/07/24 · openalex publication_date 1992/10/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The nonperturbative ultraviolet divergence of the sine-Gordon model is used to study the k+=0 region of light-cone perturbation theory. The light-cone vacuum is shown to be unstable at the nonperturbative \mathrm\ensuremathβ2=8\ensuremathπ critical point by a light-cone version of Coleman's variational method. Vacuum bubbles, which are k+=0 diagrams in light-cone field theory and are individually finite and nonvanishing for all \ensuremathβ, conspire to generate ultraviolet divergences of the light-cone energy density. The k+=0 region of momentum also contributes to connected Green's functions; the connected two-point function will not diverge, as it should, at the critical point unless diagrams which contribute only at k+=0 are properly included. This analysis shows in a simple way how the k+=0 region cannot be ignored even for connected diagrams. This phenomenon is expected to occur in higher-dimensional gauge theories starting at two-loop order in light-cone perturbation theory.