ISSN:
1573-0530
Keywords:
Abelian lattice models
;
gauge theory
;
Wilson line correlators
;
simplicial complexes
;
homology.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We study Abelian lattice gauge theory defined on a simplicial complex with arbitrary topology. The use of dual objects allows one to reformulate the theory in terms of different dynamical variables; however, we avoid entirely the use of the dual cell complex. Topological modes which are present in the transformation now appear as homology classes, in contrast to the cohomology modes found in the dual cell picture. Irregularities of dual cell complexes do not arise in this approach. We treat the two and three-dimensional cases in detail, and prove a general vanishing theorem for Wilson line correlators.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007355709831
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