Topological susceptibility of SU(N) gauge theories at finite temperature
Abstract
We investigate the large-N behavior of the topological susceptibility chi in four-dimensional SU(N) gauge theories at finite temperature, and in particular across the finite-temperature transition at Tc. For this purpose, we consider the lattice formulation of the SU(N) gauge theories and perform Monte Carlo simulations for N = 4,6. The results indicate that chi has a nonvanishing large-N limit for T < Tc, as at T = 0, and that the topological properties remain substantially unchanged in the low-temperature phase. On the other hand, above the deconfinement phase transition, chi shows a large suppression. The comparison between the data for N = 4 and N = 6 hints at a vanishing large-N limit for T > Tc.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- September 2004
- DOI:
- 10.1088/1126-6708/2004/09/028
- arXiv:
- arXiv:hep-th/0407068
- Bibcode:
- 2004JHEP...09..028D
- Keywords:
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- 1/N Expansion Lattice Gauge Field Theories QCD Lattice QCD;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 9 pages, 2 figs, a few discussions added, JHEP in press