Yang-Mills theory and the Segal-Bargmann transform

We use a variant of the classical Segal-Bargmann transform to understand the canonical quantization of Yang-Mills theory on a space-time cylinder. This transform gives a rigorous way to make sense of the Hamiltonian on the gauge-invariant subspace. Our results are a rigorous version of the widely accepted notion that on the gauge-invariant subspace the Hamiltonian should reduce to the Laplacian on the compact structure group. We show that the infinite-dimensional classical Segal-Bargmann transform for the space of connections, when restricted to the gauge-invariant subspace, becomes the generalized Segal-Bargmann transform for the the structure group

Policies to Enhance Western Water Use Efficiency: Best of the West

18 pages

Greener and More Equitable: A Vision for Dams and Other Western Water Issues

10 pages. Contains 1 page of references

Sources of Water II: Federal Water Projects

46 pages. Contains references

Sources of Water II: Federal Water Projects

46 pages. Contains references

Greener and More Equitable: A Vision for Dams and Other Western Water Issues

10 pages. Contains 1 page of references

The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces

We prove the Makeenko-Migdal equation for two-dimensional Euclidean Yang-Mills theory on an arbitrary compact surface, possibly with boundary. In particular, we show that two of the proofs given by the first, third, and fourth authors for the plane case extend essentially without change to compact surfaces.Comment: Final version, minor typographical corrections. To appear in Comm. Math. Phy

Growth, Water, and Environmental Values

17 pages