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arXiv · hep-th/9810209

Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation

B. G. Konopelchenko·G. Landolfi
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Abstract

The generalized Weierstrass representation for surfaces in $\Bbb{R}^{3}$ is used to study quantum effects for strings governed by Polyakov-Nambu-Goto action. Correlators of primary fields are calculated exactly in one-loop approximation for the pure extrinsic Polyakov action. Geometrical meaning of infrared singularity is discussed. The Nambu-Goto and spontaneous curvature actions are treated perturbatively.

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B. G. Konopelchenko, G. Landolfi. 1998-10-26. Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation. https://doi.org/10.1016/s0370-2693(98)01412-9

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