Bg. Konopelchenko et G. Landolfi, Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation, PHYS LETT B, 444(3-4), 1998, pp. 299-308
The generalized Weierstrass representation for surfaces in R-3 is used to s
tudy quantum effects for strings governed by Polyakov-Nambu-Goto action. Co
rrelators of primary fields are calculated exactly in one-loop approximatio
n for the pure extrinsic Polyakov action. Geometrical meaning of infrared s
ingularity is discussed. The Nambu-Goto and spontaneous curvature actions a
re treated perturbatively. (C) 1998 Elsevier Science B.V. All rights reserv
ed.