GluonVertex

Description

Note: All momenta are flowing into the vertex.

GluonVertex[{p,mu,a}, {q,nu,b}, {k,la,c}] or GluonVertex[p,mu,a , q,nu,b , k,la,c ] yields the 3-gluon vertex. GluonVertex[{p,mu}, {q,nu}, {k,la}] yields the 3-gluon vertex without color structure and the coupling constant. GluonVertex[{p,mu,a}, {q,nu,b}, {k,la,c}, {s,si,d}] or GluonVertex[{mu,a}, {nu,b}, {la,c}, {si,d}] or GluonVertex[p,mu,a , q,nu,b , k,la,c , s,si,d] or GluonVertex[ mu,a , nu,b , la,c , si,d ] yields the 4-gluon vertex. The dimension and the name of the coupling constant are determined by the options Dimension and CouplingConstant.

GV can be used as an abbreviation of GluonVertex.

GV

Options[GluonVertex]

See also:  GluonGhostVertex, GluonPropagator.

Examples

GluonVertex[{p, μ, a}, {q, ν, b}, {r, ρ, c}]

GluonVertex[{p, μ, a}, {q, ν, b}, {r, ρ, c}] // 
      Explicit

GluonVertex[{p, μ}, {q, ν}, {r, ρ}]

GluonVertex[{p, μ}, {q, ν}, {r, ρ}] // Explicit

GluonVertex[{p, μ, a}, {q, ν, b}, {r, ρ, c}, {s, σ, 
        d}]

GluonVertex[{μ, a}, {ν, b}, {ρ, c}, {σ, 
        d}]

GluonVertex[μ, a, ν, b, ρ, c, σ, d]

A very convenient way to enter diagrams by hand is to label each line hitting a vertex by a number and put this number after the inflowing momentum.

GV[p, 1, q, 2, r, 3]

GV[p, 1, q, 2, r, 3, s, 4]