Dirichlet to Neumann operator for abelian Yang-Mills gauge fields

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.

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

References in corpus (1)

• Two-dimensional quantum Yang-Mills theory with corners

Cited by in corpus (2)

• Locality and General Vacua in Quantum Field Theory
• Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary