Type: Article
Publication Date: 2001-06-29
Citations: 179
DOI: https://doi.org/10.1088/0264-9381/18/14/301
In this paper we apply the methods outlined in the previous paper of this series to the particular set of states obtained by choosing the complexifier to be a Laplace operator for each edge of a graph. The corresponding coherent state transform was introduced by Hall for one edge and generalized by Ashtekar, Lewandowski, Marolf, Mourão and Thiemann to arbitrary, finite, piecewise-analytic graphs.