feynlag.vertices.bilinear.fermion_gauge_current

feynlag.vertices.bilinear.fermion_gauge_current(fermion, flavor_index, gauge_groups=None, projector=None)[source]

Gauge-current terms of i ψ̄ γ^μ D_μ ψ (the interaction part).

With D_μ = ∂_μ − i g T^a A^a_μ (CONVENTIONS.md), the interaction is + g A^a_μ ψ̄_a γ^μ T^a_{ab} P ψ_b.

Parameters:
  • fermion – a Fermion.

  • flavor_index – flavor index symbol (the current is flavor diagonal).

  • gauge_groups – groups to include (default: all in fermion.reps).

  • projector – chiral projector; default from fermion.chirality.

Returns:

sum of coupling × A × Bilinear(ψ̄_a, γ^μ P, ψ_b).

Return type:

SymPy expression