Furthermore, we face the question of how to understand the role of the non-gauge-invariant quantities appearing in the theory, and the problem of how to interpret what M. Redhead calls "surplus structure" (see Redhead, 2003).
Ori J. Ganor, Govindan Rajesh, and Savdeep Sethi, "Duality and non-commutative gauge theory," Phys.
Tagliacozzo, L., Celi, A., Orland, P., Mitchell, M. W. & Lewenstein, M. Simulation of non-Abelian gauge theories with optical lattices.
If you do read one of the actual studies, how should you, as a non-scientist, gauge its credibility?
Topics include functional integral methods, quantization of spin-1 fields, quantum electrodynamics, non-Abelian gauge theories, renormalization group techniques, spontaneous symmetry breaking, and anomalies.
Topics: perturbation theory and Feynman diagrams, scattering theory, Quantum Electrodynamics, one loop renormalization, quantization of non-abelian gauge theories, the Standard Model of particle physics, other topics.
In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance.
A path integral formulation of non-Abelian gauge theories based on a a manifestly Lorentz invariant five-dimensional bosonic effective action is constructed.
Using the ideal theoretic technique of primary decomposition we compute the cohomology classes of the matter surfaces associated with states charged under the non-abelian gauge group.
This allows the study of the underlying Abelian and non-Abelian gauge symmetries and could also have significant implications in quantum computation.
We extend the Hall transform to the infinite dimensional context of non-Abelian gauge theories by replacing the Lie groupGby (a certain extension of ) the spaceA/Gof connections modulo gauge transformations.
