Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-28
Mod.Phys.Lett. A9 (1994) 3229-3234
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, Latex
Scientific paper
10.1142/S021773239400304X
An effective sigma model describing behavior of the 3d rigid string with a $\theta$-term at $\theta=\pi$ is proposed. It contains non-perturbative corrections resulting from summation over different genera of the 2d surfaces. The effective theory is the SU(2) WZW model coupled to the Nambu-Goto action. RG analysis shows the existence of a IR fixed point at which the normal to the surface has long range correlations. A similar model can describe critical behaviour of the 3d Y-M fields or the Ising model.
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