Center-symmetric 1/N expansion
- Department of Physics, Rutgers University in Newark, 365 Smith Hall, 101 Warren Street, Newark, New Jersey 07102 (United States)
The free energy of U(N) gauge theory is expanded about a center-symmetric topological background configuration with vanishing action and vanishing Polyakov loops. We construct this background for SU(N) lattice gauge theory and show that it uniquely describes center-symmetric minimal action orbits in the limit of infinite lattice volume. The leading contribution to the free energy in the 1/N expansion about this background is of O(N{sup 0}) rather than O(N{sup 2}) as one finds when the center symmetry is spontaneously broken. The contribution of planar 't Hooft diagrams to the free energy is O(1/N{sup 2}) and subleading in this case. The change in behavior of the diagrammatic expansion is traced to Linde's observation that the usual perturbation series of non-Abelian gauge theories suffers from severe infrared divergences [A. Linde, Phys. Lett. B 96, 289 (1980).]. This infrared problem does not arise in a center-symmetric expansion. The 't Hooft coupling {lambda}=g{sup 2}N is found to decrease {proportional_to}1/ln(N) for large N. There is evidence of a vector-ghost in the planar truncation of the model.
- OSTI ID:
- 20709314
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 10; Other Information: DOI: 10.1103/PhysRevD.71.105012; (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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