An algorithm for detecting abelian monopoles inSU 2-valued lattice gauge-Higgs systems |
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Authors: | Anthony V. Phillips David A Stone |
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Affiliation: | (1) Mathematics Department, SUNY at Stony Brook, 11794 Stony Brook, NY, USA;(2) Mathematics Department, Brooklyn College of CUNY, 11210 Brooklyn, NY, USA |
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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. Partially supported by NSF grants DMS 8607168 and DMS 8907753 Partially supported by PSC-CUNY and by NSF grant DMS 8805485 |
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