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Communications in Mathematical Physics

, Volume 137, Issue 2, pp 231–247 | Cite as

An algorithm for detecting abelian monopoles inSU 2-valued lattice gauge-Higgs systems

  • Anthony V. Phillips
  • David A Stone
Article

Abstract

We present an algorithm which calculates the monopole number of anSU 2-valued lattice gauge field, together with a lattice Higgs field, on a simplicial lattice of dimension ≧3. The calculation is gauge invariant. The expected value of the monopole density (for a fixed Higgs field) does not depend on the Higgs field.

Keywords

Intersection Number Adjoint Action Higgs Field Geodesic Triangle Spherical Triangle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Anthony V. Phillips
    • 1
  • David A Stone
    • 2
  1. 1.Mathematics DepartmentSUNY at Stony BrookStony BrookUSA
  2. 2.Mathematics DepartmentBrooklyn College of CUNYBrooklynUSA

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