feynlag.vertices.yangmills.cubic_couplings

feynlag.vertices.yangmills.cubic_couplings(group, physical=None, U=None)[source]

Rotated cubic self-coupling tensor −g F_ijk.

Parameters:
  • group – non-abelian gauge group.

  • physical – physical boson symbols V_i (default: the group’s own adjoint components, U = 1).

  • U – matrix with A^a = Σ_i U[a,i] V_i.

Returns:

dict {(V_i, V_j, V_k): −g·F_ijk} (only non-zero, all orderings — the tensor is totally antisymmetric under simultaneous exchange). Lorentz structure: the universal YM VVV catalog entry.