SpinorChainTrick
SpinorChainTrick[exp]
applies several simplifications to products of spinor chains.
See also
Overview, FCCanonicalizeDummyIndices, DiracGamma, Spinor.
Examples
a SpinorUBar[p1, m1] . GA[\[Mu]] . SpinorU[p2, m2] SpinorVBar[p1, m1] . GA[\[Mu]] . SpinorV[p4, m4] +
b SpinorUBar[p1, m1] . GA[\[Nu]] . SpinorU[p2, m2] SpinorVBar[p1, m1] . GA[\[Nu]] . SpinorV[p4, m4]
SpinorChainTrick[%]
auˉ(p1,m1).γˉμ.u(p2,m2)vˉ(p1,m1).γˉμ.v(p4,m4)+buˉ(p1,m1).γˉν.u(p2,m2)vˉ(p1,m1).γˉν.v(p4,m4)
(a+b)(φ(p1,m1)).γˉFCGV(LI191).(φ(p2,m2))(φ(−p1,m1)).γˉFCGV(LI191).(φ(−p4,m4))
SpinorUBar[p1, m1] . GAE[\[Mu]] . SpinorU[p2, m2] SpinorVBar[p1, m1] . GA[\[Mu]] . SpinorV[p4, m4]
SpinorChainTrick[%]
uˉ(p1,m1).γ^μ.u(p2,m2)vˉ(p1,m1).γˉμ.v(p4,m4)
0