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Quarks, gluons, and observable hadrons
Connect QCD color dynamics to hadron structure, factorized hard processes, jets, confinement evidence, and the controlled limits of perturbative predictions.
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Module 01 research
Quarks, gluons, and observable hadrons
Connect QCD color dynamics to hadron structure, factorized hard processes, jets, confinement evidence, and the controlled limits of perturbative predictions.
- 01
Normalize color before counting radiation
Derive fundamental and adjoint color factors, distinguish singlet projection from classical averaging, and identify the limits of color-factor comparisons.
33 min - 02
Read QCD vertices from one gauge-covariant action
Expand the non-Abelian field strength, track vertex powers, and connect gauge-required interference to controlled short-distance predictions.
33 min - 03
Turn logarithmic running into a dimensionful scale
Integrate a declared one-loop beta function, distinguish scale and scheme conventions, and keep its infrared extrapolation separate from confinement.
33 min - 04
Infer proton structure from inclusive lepton scattering
Define DIS invariants, separate measured structure functions from fitted parton densities, and derive the leading electromagnetic flavor weights.
33 min - 05
Evolve parton densities without inventing their initial shape
Derive convolution evolution, include virtual endpoint terms, and use moment sum rules to diagnose physically consistent PDF evolution.
33 min - 06
Join short-distance coefficients to long-distance inputs
Use factorization without confusing PDFs or fragmentation functions with perturbative predictions, and diagnose residual scale dependence at finite order.
33 min - 07
Define jets that survive unresolved radiation
Connect real–virtual cancellation to a measurement function and perform a transparent anti-kt clustering decision with declared distance units.
33 min - 08
Separate logarithmic shower evolution from hadron formation
Derive the no-resolved-emission factor, identify the assumptions of repeated branching, and distinguish tuned hadronization models from first-principles predictions.
33 min - 09
Use broken flavor symmetry to organize pion interactions
Distinguish color gauge symmetry from chiral flavor symmetry, expand the pion action, and estimate leading threshold amplitudes within a declared low-energy regime.
33 min - 10
Organize heavy-hadron masses by the light degrees of freedom
Derive heavy-spin doublets and hyperfine scaling, use spin averages to remove a leading splitting, and state the limitations of heavy-quark symmetry.
33 min