Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary

Symmetry Integrability and Geometry-Methods and Applications

article

Homero G. Díaz-Marín¹  Robert Oeckl² 

[1] Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria;Universidad Nacional Autónoma de México

关键词: Yang–Mills theory;    TQFT;    Riemannian manifolds;   

DOI  :  10.3842/SIGMA.2018.105

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown