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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 13 pages

Scientific paper

10.1016/S0370-2693(98)01412-9

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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