group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
Given a gauge field configuration modeled by a -principal connection, its instanton sector or charge sector is the equivalence class of the underlying principal bundle.
Notably for Yang-Mills theory on a 4-dimensional spacetime and with a gauge group the special unitary group , -principal bundles are entirely classified by their second Chern class and hence the value is the instanton sector. Given the -principal connection of the gauge field the image in de Rham cohomology of this class may be expressed by the integration of differential forms , where is the curvature and the invariant polynomial which corresponds to under the Chern-Weil homomorphism.
non-perturbative effect, non-perturbative quantum field theory, non-perturbative string theory
string theory FAQ – Isn’t it fatal that the string perturbation series does not converge?
gauge field: models and components
Last revised on June 10, 2013 at 15:20:36. See the history of this page for a list of all contributions to it.