Gauge-invariant fields and flow equations for Yang-Mills theories

Understand

We discuss the concept of gauge-invariant fields for non-abelian gauge theories.

• Infinitesimal fluctuations around a given gauge field can be split into physical and gauge fluctuations.
• Starting from some reference field the gauge-invariant fields are constructed by consecutively adding physical fluctuations.
• An arbitrary gauge field can be mapped to an associated gauge invariant field.