Gauge theory strings and minimal surfaces

Apr, 1993
30 pages
Published in:
  • Nucl.Phys.B 420 (1994) 315-331
Report number:
  • DAMTP-93-26

Citations per year

1998200320082013201610
Abstract: (Elsevier)
It is described how strings or vortices of some gauge theory models are related to minimal surfaces. The idea comes from a generalization of the trial orbit method for (1 + 1)-dimensional scalar field theory with topological kinks. A new kind of stable strings, analogous to the two component topological kink, is discovered and its mathematical and physical properties are discussed. A connection between the topology of the gauge systems with stable and unstable strings and the Morse theory of geodesics in spheres is suggested.
  • string model
  • vortex
  • gauge field theory: Yang-Mills
  • Higgs model
  • topology
  • Morse theory
  • Georgi-Glashow model
  • dimension: 3