algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
The Lagrangian field theory obtained by adding the Lagrangian densities for D=3 Yang-Mills theory and of Chern-Simons theory, defined on the same gauge field/connection is 3D Yang-Mills-Chern-Simons theory (YMCS). For abelian gauge group this reduces to Maxwell-Chern-Simons theory (MCS).
On ordinary Yang-Mills theory (YM):
Maxwell theory/electromagnetism (U(1) YM), Donaldson theory (SU(2) YM), quantum chromodynamics (SU(3) YM)
Yang-Mills equation, linearized Yang-Mills equation, Yang-Mills instanton, Yang-Mills field, stable Yang-Mills connection, Yang-Mills moduli space, Yang-Mills flow, F-Yang-Mills equation, Bi-Yang-Mills equation
Uhlenbeck's singularity theorem, Uhlenbeck's compactness theorem
On variants of Yang-Mills theory and on super Yang-Mills theory (SYM):
Yang-Mills-Higgs equations, stable Yang-Mills-Higgs pair, Yang-Mills-Higgs flow
Einstein-Yang-Mills theory, Einstein-Yang-Mills-Dirac theory, Einstein-Yang-Mills-Dirac-Higgs theory
3d superconformal gauge field theory: D=3 N=1 SYM, D=3 N=2 SYM, D=3 N=4 SYM
4d superconformal gauge field theory: D=4 N=1 SYM, D=4 N=2 SYM, D=4 N=4 SYM
topological Yang-Mills theory, topologically twisted D=4 super Yang-Mills theory
Suggestion to consider the Yang-Mills mass gap problem for 3D YMCS theory:
Claim of establishing the mass gap for YMCS theory at a non-constructive level:
(based on analogous claims for pure D=3 Yang-Mills theory, see there).
In the context of extended functorial field theory:
Last revised on April 6, 2026 at 20:04:16. See the history of this page for a list of all contributions to it.