Dirichlet to Neumann operator for abelian Yang-Mills gauge fields
Mathematical Physics
2017-07-03 v4 math.MP
Abstract
We consider the Dirichlet to Neumann operator for abelian Yang- Mills boundary conditions. We treat the case for space-time manifolds with general smooth boundary components. The aim is constructing a complex structure for the symplectic space of boundary conditions of Euler-Lagrange solutions modulo gauge. Thus we prepare a suitable scenario for geometric quantization of abelian gauge fields following a symplectic reduction procedure in a Lagrangian setting.
Cite
@article{arxiv.1508.00449,
title = {Dirichlet to Neumann operator for abelian Yang-Mills gauge fields},
author = {Homero G. Diaz-Marin},
journal= {arXiv preprint arXiv:1508.00449},
year = {2017}
}
Comments
Keywords: gauge fields; variational boundary value problems; Hodge theory; Dirichlet to Neumann operator Subject classification: Yang-Mills theory, topological field theo- ries, methods from differential geometry