Lattice gluodynamics at negative g{sup 2}
- Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)
We consider Wilson's SU(N) lattice gauge theory (without fermions) at negative values of {beta}=2N/g{sup 2} and for N=2 or 3. We show that in the limit {beta}{yields}-{infinity}, the path integral is dominated by configurations where links variables are set to a nontrivial element of the center on selected nonintersecting 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{sup 2} changes its sign which prevents us from having a convergent series in g{sup 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 {+-}2{pi}/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.
- OSTI ID:
- 20705764
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 1; Other Information: DOI: 10.1103/PhysRevD.71.016008; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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