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Glueball Masses from an Infrared Moment Problem

2010/10/31 by David Dudal, D. Dudal, M. S. Guimarães +2 · 88 citations
Physics and Astronomy · #Approx #Glueball #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scalar (mathematics) #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.106.062003

published in Physical Review Letters 106(6), 062003 (American Physical Society) · 4 pages, 1 .pdf figure. v2: updated reference list. v3: version accepted for publication in PhysRevLett

arxiv created 2011/01/12 · openalex publication_date 2011/02/11 · arxiv updated 2011/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We set up an infrared-based moment problem to obtain estimates of the masses of the scalar, pseudoscalar, and tensor glueballs in Euclidean Yang-Mills theories using the refined Gribov-Zwanziger (RGZ) version of the Landau gauge, which takes into account nonperturbative physics related to gauge copies. Employing lattice input for the mass scales of the RGZ gluon propagator, the lowest order moment problem approximation gives the values m0++\ensuremath≈1.96 GeV, m2++\ensuremath≈2.04 GeV, and m_0\ensuremath-+\ensuremath≈2.19 GeV in the SU(3) case, all within a 20% range of the corresponding lattice values. We also recover the mass hierarchy m0++<m2++<m_0\ensuremath-+.

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