Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary

Abstract

We quantize abelian Yang-Mills theory on Riemannian manifolds with boundaries in any dimension. The quantization proceeds in two steps. First, the classical theory is encoded into an axiomatic form describing solution spaces associated to manifolds. Second, the quantum theory is constructed from the classical axiomatic data in a functorial manner. The target is general boundary quantum field theory, a TQFT-type axiomatic formulation of quantum field theory.

References in corpus (4)

• Perturbative quantum gauge theories on manifolds with boundary
• Two-dimensional quantum Yang-Mills theory with corners
• Free Fermi and Bose Fields in TQFT and GBF
• Dirichlet to Neumann operator for abelian Yang-Mills gauge fields

Cited by in corpus (2)

• Locality and General Vacua in Quantum Field Theory
• The vacuum as a Lagrangian subspace