The deconfining phase transition for SU(N) theories in 2+1 dimension
Sissa Medialab Srl (2005) 188
The pressure and a possible hidden Hagedorn transition at large-N
Sissa Medialab Srl (2005) 175
The pressure of the SU(N) lattice gauge theory at large N
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 628:1-2 (2005) 113-124
Abstract:
We calculate bulk thermodynamic properties, such as the pressure, energy density, and entropy, in SU(4) and SU(8) lattice gauge theories, for the range of temperatures T≤2.0Tc and T≤1.6Tc, respectively. We find that the N=4,8 results are very close to each other, and to what one finds in SU(3), and are far from the asymptotic free-gas value. We conclude that any explanation of the high-T pressure (or entropy) deficit must be such as to survive the N→∞ limit. We give some examples of this constraint in action and comment on what this implies for the relevance of gravity duals. © 2005 Elsevier B.V. All rights reserved.Casimir scaling of domain wall tensions in the deconfined phase of D = 3 + 1 SU (N) gauge theories
Journal of High Energy Physics (2005) 1577-1613
Abstract:
We perform lattice calculations of the spatial 't Hooft k-string tensions, σ̃k, in the deconfined phase of SU(N) gauge theories for N ≤ 2,3,4,6. These equal (up to a factor of T) the surface tensions of the domain walls between the corresponding (euclidean) deconfined phases. For T >> Tc our results match on to the known perturbative result, which exhibits Casimir Scaling, σ̃k∝k(N-k). At lower T the coupling becomes stronger and, not surprisingly, our calculations show large deviations from the perturbative T-dependence. Despite this we find that the behaviour ∂σ̃k/∂T∝k(N-k) persists very accurately down to temperatures very close to Tc. Thus the Casimir Scaling of the 't Hooft tension appears to be a 'universal' feature that is more general than its appearance in the low order high-T perturbative calculation. We observe the 'wetting' of these k-walls at T ≃ Tc and the (almost inevitable) 'perfect wetting' of the k ≤ N/2 domain wall. Our calculations show that as T→Tc the magnitude of σ̃k(T) decreases rapidly. This suggests the existence of a (would-be) 't Hooft string condensation transition at some temperature T H̃ which is close to but below Tc. We speculate on the 'dual' relationship between this and the (would-be) confining string condensation at the Hagedorn temperature TH that is close to but above Tc. © SISSA 2005.Topology of SU(N) gauge theories at T ≃ 0 and T ≃ Tc
Nuclear Physics B 715:1-2 (2005) 461-482