Explicit
Explicit[exp]
inserts explicit expressions of GluonVertex
, Twist2GluonOperator
, SUNF
etc. in exp
.
To rewrite the SU(N) structure constants in terms of traces, please set the corresponding options SUNF
or SUND
to True
.
Explicit
is also an option for FieldStrength
, GluonVertex
, SUNF
, Twist2GluonOperator
etc. If set to True
the full form of the operator is inserted.
See also
Overview, GluonVertex, Twist2GluonOperator.
Examples
gv = GluonVertex[p, \[Mu], a, q, \[Nu], b, r, \[Rho], c]
fabcVμνρ(p, q, r)
gsfabc(gμν(pρ−qρ)+gμρ(rν−pν)+gνρ(qμ−rμ))
Explicit[gv, SUNF -> True]
2igs(tr(Ta.Tc.Tb)−tr(Ta.Tb.Tc))(gμν(pρ−qρ)+gμρ(rν−pν)+gνρ(qμ−rμ))
Twist2GluonOperator[p, \[Mu], a, \[Nu], b]
Explicit[%]
21((−1)m+1)δab(OμνG2(p))
21((−1)m+1)δab(Δ⋅p)m−2(gμν(Δ⋅p)2+p2ΔμΔν−(Δ⋅p)(Δνpμ+Δμpν))
FieldStrength[\[Mu], \[Nu], a]
Explicit[%]
Fμνa
gsfab19c20Aμb19.Aνc20+(∂μAνa)−(∂νAμa)
fabc
Explicit[SUNF[a, b, c], SUNF -> True]
2i(tr(Ta.Tc.Tb)−tr(Ta.Tb.Tc))
dabc
Explicit[SUND[a, b, c], SUND -> True]
2tr(Ta.Tb.Tc)+2tr(Tb.Ta.Tc)