physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
fields and particles in particle physics
and in the standard model of particle physics:
matter field fermions (spinors, Dirac fields)
| flavors of fundamental fermions in the standard model of particle physics: | |||
|---|---|---|---|
| generation of fermions | 1st generation | 2nd generation | 3d generation |
| quarks () | |||
| up-type | up quark () | charm quark () | top quark () |
| down-type | down quark () | strange quark () | bottom quark () |
| leptons | |||
| charged | electron | muon | tauon |
| neutral | electron neutrino | muon neutrino | tau neutrino |
| bound states: | |||
| mesons | light mesons: pion () ρ-meson () ω-meson () f1-meson a1-meson | strange-mesons: ϕ-meson (), kaon, K*-meson (, ) eta-meson () charmed heavy mesons: D-meson (, , ) J/ψ-meson () | bottom heavy mesons: B-meson () ϒ-meson () |
| baryons | nucleons: proton neutron |
(also: antiparticles)
hadrons (bound states of the above quarks)
minimally extended supersymmetric standard model
bosinos:
dark matter candidates
Exotica
The Yang–Mills field is the gauge field of Yang-Mills gauge theory.
The YM field is modeled by principal connections, or more abstractly by cocycles in differential nonabelian cohomology. Here is the moduli stack of -principal connections, the stackification of the groupoid of Lie-algebra valued forms, regarded as a groupoid internal to smooth spaces.
This is usually represented by a vector bundle with connection.
As a nonabelian Čech cocycle the Yang-Mills field on a space is represented by
a cover
a collection of -valued 1-forms ;
a collection of -valued smooth functions ;
such that on double overlaps
and such that on triple overlaps
For this is the electromagnetic field.
For this is the “electroweak field”;
For this is the strong nuclear force field.
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
Last revised on March 12, 2026 at 09:27:03. See the history of this page for a list of all contributions to it.