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An Effective Rigid String at $θ=π$ for the 3D Gauge Theories/Ising Model

Jacek Pawełczyk
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Abstract

An effective sigma model describing behavior of the 3d rigid string with a $θ$-term at $θ=π$ 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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Jacek Pawełczyk. 1994-01-28. An Effective Rigid String at $θ=π$ for the 3D Gauge Theories/Ising Model. https://doi.org/10.1142/s021773239400304x

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