The Broken Phase of the Topological Sigma model

Details The Broken Phase of the Topological Sigma model The Broken Phase of the Topological Sigma model

1994-01-25

arxiv.org/abs/hep-th/9401124v1

Int.J.Mod.Phys.A10:1553-1576,1995

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LATEX

Scientific paper

10.1142/S0217751X95000747

The topological sigma model with the semi-infinite cigar-like target space (black hole geometry) is considered. The model is shown to possess unsuppressed instantons. The noncompactness of the moduli space of these instantons is responsible for an unusual physics. There is a stable vacuum state in which the vacuum energy is zero, correlation functions are numbers thus the model is in the topological phase. However, there are other vacuum states in which correlation functions show the coordinate dependence. The estimation of the vacuum energy indicates that it is nonzero. These states are interpreted as the ones with broken BRST-symmetry.

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