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

Abstract

The generalized Weierstrass representation for surfaces in ${\mathbb{R}}^3$ 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.

Latex, 13 pages

References in corpus (3)

• On classical string configurations
• Immersion Anomaly of Dirac Operator on Surface in R^3
• On Density of State of Quantized Willmore Surface-A Way to Quantized Extrinsic String in R^3

Cited by in corpus (2)

• Quasiclassical generalized Weierstrass representation and dispersionless DS equation
• Spinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-Hierarchy