Anatomy of a gauge theory
Sep, 2005Citations per year
Abstract: (arXiv)
We exhibit the role of Hochschild cohomology in quantum field theory with particular emphasis on gauge theory and Dyson--Schwinger equations, the quantum equations of motion. These equations emerge from Hopf- and Lie algebra theory and free quantum field theory only. In the course of our analysis we exhibit an intimate relation between the Slavnov-Taylor identities for the couplings and the existence of Hopf sub-algebras defined on the sum of all graphs at a given loop order, surpassing the need to work on single diagrams.- quantum electrodynamics
- fermion
- vertex function
- algebra: Hopf
- algebra: Lie
- cohomology
- Dyson-Schwinger equation
- Slavnov identity
- Feynman graph: higher-order
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