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Lattice gluodynamics at negative g^2 | | L. Li
; Y. Meurice
; | | Date: |
20 Oct 2004 | | Journal: | Phys.Rev. D71 (2005) 016008 | | Subject: | hep-lat hep-th | | Abstract: | We consider Wilson’s SU(N) lattice gauge theory (without fermions) at negative values of beta= 2N/g^2 and for N=2 or 3. We show that in the limit beta -> -infinity, the path integral is dominated by configurations where links variables are set to a nontrivial element of the center on selected non intersecting lines. For N=2, these configurations can be characterized by a unique gauge invariant set of variables, while for N=3 a multiplicity growing with the volume as the number of configurations of an Ising model is observed. In general, there is a discontinuity in the average plaquette when g^2 changes its sign which prevents us from having a convergent series in g^2 for this quantity. For N=2, a change of variables relates the gauge invariant observables at positive and negative values of beta. For N=3, we derive an identity relating the observables at beta with those at beta rotated by +- 2pi/3 in the complex plane and show numerical evidence for a Ising like first order phase transition near beta=-22. We discuss the possibility of having lines of first order phase transitions ending at a second order phase transition in an extended bare parameter space. | | Source: | arXiv, hep-lat/0410029 | | Services: | Forum | Review | PDF | Favorites | |
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