GluonPropagator

Description

GluonPropagator[p, {mu, a}, {nu, b}] or GluonPropagator[p, mu, a , nu, b ] yields the gluon propagator. GluonPropagator[p, {mu}, {nu}] or GluonPropagator[p, mu, nu] omits the SUNDelta. The gauge and the dimension is determined by the option Gauge and Dimension. The following settings of Gauge are possible: 1 for the Feynman gauge; α for the general covariant gauge; {Momentum[n] ,1} for the axial gauge.

GP can be used as an abbreviation of GluonPropagator.

GP

Options[GluonPropagator]

See also:  GluonVertex, GhostPropagator, GluonGhostVertex.

Examples

GluonPropagator[p, μ, a, ν, b]

GluonPropagator[p, μ, a, ν, b, 
      Gauge -> α]

GluonPropagator[p, μ, a, ν, b, 
      Gauge -> {Momentum[n], 1}]

GluonPropagator[p, μ, ν]

This is a convenient way to enter amplitudes by hand (GP is an abbreviation GluonPropagator).

GP[p, 1, 2]

GP[-k, 3, 4] // FCE // StandardForm

GluonPropagator[p, μ, a, ν, b, 
      CounterTerm ->  1]

GluonPropagator[p, μ, a, ν, b, 
      CounterTerm ->  2]

GluonPropagator[p, μ, a, ν, b, 
      CounterTerm ->  3]

GluonPropagator[p, μ, a, ν, b, 
      CounterTerm ->  4]

GluonPropagator[p, μ, a, ν, b, 
      CounterTerm ->  5]