Fundamentals of QCD

Goal - To construct a gauge invariant SU(Nc) QFT for quarks (fermionic matter fields) and gluons (massless gauge fields).

Colour Algebra

The final Lagrangian can be written as

${\mathcal{L}}_{QCD}={\mathcal{L}}_{classical}+{\mathcal{L}}_{fix}+{\mathcal{L}}_{ghost}$

where the first piece contains all potential terms and interaction terms, second piece enables us to fix a gluon propagator by (partly) fixing a gauge and the third piece contains Fadeev-Popov ghost terms that arise from our gauge fixing procedure.

• Building the Lagrangian of QCD
• The Strong CP Problem
• Feynman Rules - Covariant Gauges
• Colour Algebra
• Graphical Representation of Colour Group Algebra
• Organising Colour