Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary

Homero G. Díaz-Marín; Robert Oeckl

doi:10.3842/sigma.2018.105

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arXiv · 1712.05537

Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary

Homero G. Díaz-Marín·Robert Oeckl

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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.

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Homero G. Díaz-Marín, Robert Oeckl. 2017-12-15. Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary. https://doi.org/10.3842/sigma.2018.105

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