Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
By Biagio Lucini, M. Teper, U. Wenger. 2004
242 citations recorded by the source corpus.
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 [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 = ∞, obtaining results compatible with earlier work. We show that the N = ∞ factorisation of the euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/29b0bdcae5d854379f32c159062b43f9213099a9
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In Nuclear and High Energy Physics
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Citations in the corpus
- Towards the glueball spectrum from unquenched lattice QCD (2012, methodology): “Additional operators were generated by an improved blocking algorithm [51].”
- Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions (2007, unknown): “43 can be extracted from the lattice simulations of QCD(adj) as in [41].”
- theta dependence of SU(N) gauge theories in the presence of a topological term (2007, background): “[73, 74, 75, 4, 76] that the topological modes show autocorrelation times that are typically much larger than those of other observables not related to topology, such as Wilson loops and their correlators.”