A Classical Vortex Solution of the Abelian Higgs Model

Jan, 1976
7 pages
Published in:
  • Phys.Rev.D 14 (1976) 1100-1106
Report number:
  • PTENS 76/2

Citations per year

19761988200020122024051015
Abstract: (APS)
An exact vortex solution for the Abelian Higgs model is found when a particular relation between the coupling constants is satisfied. For this case (in which the masses of the scalar and vector bosons are the same), we decouple the classical field equations and solve them. We obtain power-series expansions and asymptotic expressions for the solution. The values of the fields are explicitly calculated for a one-quantum-of-flux solution, and bounds are established for the n-quanta case. Finally, we discuss the field form factors.
  • MODEL: HIGGS
  • GAUGE FIELD THEORY: TWO-DIMENSIONAL
  • GAUGE FIELD THEORY: U(1)
  • FIELD EQUATIONS: SOLUTION
  • FIELD EQUATIONS: VORTEX
  • TENSOR: ENERGY-MOMENTUM
  • MASS SPECTRUM
  • FORM FACTOR
  • NUMERICAL CALCULATIONS