Yang-Mills theory and the Segal-Bargmann transform
Driver, Bruce K. ; Hall, Brian C.
arXiv, 9808193 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-08-31
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9808193,
     author = {Driver, Bruce K. and Hall, Brian C.},
     title = {Yang-Mills theory and the Segal-Bargmann transform},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9808193}
}

Driver, Bruce K.; Hall, Brian C. Yang-Mills theory and the Segal-Bargmann transform. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9808193/