An action for a classical string, the equation of motion and group invariant classical solutions

• Authors: Paul Bracken
• Languages of publication: EN

Abstracts

EN

A string action which is essentially a Willmore functional is presented and studied. This action determines the physics of a surface in Euclidean three space which can be used to model classical string configurations. By varying this action an equation of motion for the mean curvature of the surface is obtained which is shown to govern certain classical string configurations. Several classes of classical solutions for this equation are discussed from the symmetry group point of view and an application is presented.

Keywords

EN

classical strings; Gaussian curvature; mean curvature; Weierstrass representation; Euler-Lagrange equation

Discipline

• 11.15.Kc: Classical and semiclassical techniques
• 11.25.-w: Strings and branes(for cosmic strings, see 98.80.Cq in cosmology; see also 11.27.+d Extended classical solutions; cosmic strings, domain walls, texture)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 3
• Pages: 662-670

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Paul Bracken

• Department of Mathematics, University of Texas, Edinburg, TX, 78539, USA

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Identifiers

DOI

10.2478/s11534-008-0092-3