2004/04/07 by Biagio Lucini, M. Teper, Michael Teper +1 · 12 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Euclidean geometry #Excited state #Factorization #Gauge theory #Geometry #Glueball #Lattice (music) #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #String (physics) #Theoretical physics #Variety (cybernetics) #hep-lat
paper · pdf · doi:10.1088/1126-6708/2004/06/012
published as JHEP0406:012,2004 · 49 pages, 15 figures
arxiv created 2004/04/07 · openalex publication_date 2004/06/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the `MQCD' and `Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying in [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N=2, ...,8, and extrapolate to N=infinity, obtaining results compatible with earlier work. We show that the N=infinity factorisation of the Euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N.