Geometric Properties of QCD String From Willmore Functional

Details Geometric Properties of QCD String From Willmore Functional Geometric Properties of QCD String From Willmore Functional

2000-08-29

arxiv.org/abs/hep-th/0008219v2

J.Geom.Phys. 38 (2001) 207-216

Physics

High Energy Physics

High Energy Physics - Theory

LATEX corrected version of hep-th/0008219. 14 pages

Scientific paper

10.1016/S0393-0440(00)00062-0

The extremum of the Willmore-like functional for $m$-dimensional Riemannian surface immersed in $d$-dimensional Riemannian manifold under normal variations is studied and various cases of interest are examined. This study is used to relate the parameters of QCD string action, including the Polyakov-Kleinert extrinsic curvature action, with the geometric properties of the world sheet. The world sheet has been shown to have {\it{negative stiffness}} on the basis of geometric considerations.

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