Theorem on the Lightest Glueball State

1996/03/14 by Geoffrey B. West · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.77.2622

published as Phys.Rev.Lett. 77 (1996) 2622-2625 · 9 pages, using harvmac

arxiv created 1996/03/14 · openalex publication_date 1996/09/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to proving that, in QCD, the lightest glueball state must be the scalar with J^PC\phantom\rule0ex0ex=\phantom\rule0ex0ex0⁺⁺. The proof relies upon the positivity of the path integral measure in Euclidean space and the fact that interpolating fields for all spins can be bounded by powers of the scalar glueball operator. The problem presented by the presence of vacuum condensates is circumvented by considering the time and space evolution of the propagators.

Citations

• Quarks, Gluons and Lattices
• Hamiltonian formulation of Wilson's lattice gauge theories

Cited by

• Density of saturated nuclear matter at large Nc and heavy quark mass limits
• Scalar glueball spectrum
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory