Strong to weak coupling transitions of SU(N) gauge theories in 2+1 dimensions
| dc.creator | Bursa, Francis | |
| dc.creator | Teper, Michael | |
| dc.date | 2006-10-02 | |
| dc.date.accessioned | 2026-07-07T10:42:34Z | |
| dc.date.available | 2026-07-07T10:42:34Z | |
| dc.description | We find a strong-to-weak coupling cross-over in D=2+1 SU(N) lattice gauge theories that appears to become a third-order phase transition at N=\infty, in a similar way to the Gross-Witten transition in the D=1+1 SU(N\to\infty) lattice gauge theory. There is, in addition, a peak in the specific heat at approximately the same coupling that increases with N, which is connected to Z_N monopoles (instantons), reminiscent of the first order bulk transition that occurs in D=3+1 for N > 4. Our calculations are not precise enough to determine whether this peak is due to a second-order phase transition at N=\infty or to a third-order phase transition with different critical behaviour to that of the Gross-Witten transition. We investigate whether the trace of the Wilson loop has a non-analyticity in the coupling at some critical area, but find no evidence for this. However we do find that, just as one can prove occurs in D=1+1, the eigenvalue density of a Wilson loop forms a gap at N=\infty at a critical value of its trace. We show that this gap formation is in fact a corollary of a remarkable similarity between the eigenvalue spectra of Wilson loops in D=1+1 and D=2+1 (and indeed D=3+1): for the same value of the trace, the eigenvalue spectra are nearly identical. This holds for finite as well as infinite N; irrespective of the Wilson loop size in lattice units; and for Polyakov as well as Wilson loops. | |
| dc.description | 7 pages, 3 figures, talk given at Lattice 2006 (Beyond QCD) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610030 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610030 | |
| dc.identifier | PoSLAT2006:042,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181990 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Strong to weak coupling transitions of SU(N) gauge theories in 2+1 dimensions | |
| dc.type | text |