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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… (More)

We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N → ∞. We calculate the latent heat, L h , in the continuum limit, and find the expected behaviour, L h ∝ N 2 , at large N. We confirm that the phase transition, which is second order for SU(2) and weakly first… (More)

We calculate the continuum value of the deconfining temperature in units of the string tension for SU(4), SU(6) and SU(8) gauge theories, and we recalculate its value for SU(2) and SU(3). We find that the N-dependence for 2 ≤ N ≤ 8 is well fitted by T c / √ σ = 0.596(4) + 0.453(30)/N 2 , showing a rapid convergence to the large-N limit. We confirm our… (More)

We calculate the string tensions of k-strings in SU(N) gauge theories in both 3 and 4 dimensions. We do so for SU(4) and SU(5) in D=3+1, and for SU(4) and SU(6) in D=2+1. In D=3+1, we find that the ratio of the k = 2 string tension to the k = 1 fundamental string tension is consistent, within quite small errors, with both the M(theory)QCD-inspired… (More)

We calculate the string tension, σ, and some of the lightest glueball masses, m G , in 3+1 dimensional SU(N) lattice gauge theories for 2 ≤ N ≤ 5. From the continuum extrapolation of the lattice values, we find that the mass ratios m G / √ σ appear to show a rapid approach to the large–N limit, and, indeed, can be described all the way down to SU(2) using… (More)

- Guido Cossu, Massimo D’Elia, Adriano Di Giacomo, Biagio Lucini, Claudio Pica
- 2007

The gauge group being centreless, G 2 gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate G 2 pure gauge theory at finite temperature on the lattice. By studying the finite size scaling of the plaquette, the Polyakov loop and their… (More)

We investigate the properties of the deconfinement transition in SU(4) and SU(6) gauge theories. We find that it is a 'normal' first order transition in both cases, from which we conclude that the transition is first order in the N → ∞ limit. Comparing our preliminary estimates of the continuum values of T c / √ σ with existing values for SU(2) and SU(3)… (More)

We compute the masses of the π and of the ρ mesons in the quenched approximation on a lattice with fixed lattice spacing a ≃ 0.145 fm for SU(N) gauge theory with N = 2, 3, 4, 6. We find that a simple linear expression in 1/N 2 correctly captures the features of the lowest-lying meson states at those values of N. This enables us to extrapolate to N = ∞ the… (More)

We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N = 8. Our T ≃ 0 topological susceptibility appears to approach a finite non-zero limit at N = ∞ that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature T c , we are able to investigate separately the confined and… (More)

We calculate the k = 2 string tension in SU(4) and SU(5) gauge theories in 3+1 dimensions, and compare it to the k = 1 fundamental string tension. We find, from the continuum extrapolation of our lattice calculations, that σ k =2 /σ f = 1.40 ± 0.08 in the SU(4) gauge theory, and that σ k =2 /σ f = 1.56±0.10 in SU(5). We remark upon the way this might… (More)