The Standard Model, unfolded

Explore the Standard Model Lagrangian sector by sector, from its canonical form to explicit finite-index and gauge-field components.

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Interactive field theory

The Standard Model, unfolded.

Select a phase and its sectors, then move from the canonical notation to explicit generations, internal components, and gauge-field monomials. Lorentz indices remain covariant at every level.

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Preparing the fields

Connections Drag the position slider to travel through the equation

Field basis

Active sectors

Development

Connections

CanonicalMultipletsConnectionsComponentsUnfolded

Covariant derivatives and field strengths are exposed.

Position in the equation

1

Wave amplitude

62%

Complete LaTeX source The download is always complete, including terms outside the animated window.

Scope. This is the classical, gauge-invariant minimal Standard Model. Gauge-fixing, ghosts, the QCD theta term, right-handed neutrinos, and higher-dimensional operators are not included.