FeynCalc manual (development version)

DiracSubstitute67

DiracSubstitute67[exp] inserts the explicit definitions of the chirality projectors γ6\gamma^6 and γ7\gamma^7. DiracSubstitute67 is also an option of various FeynCalc functions that handle Dirac algebra.

See also

Overview, DiracSubstitute5, DiracGamma, ToDiracGamma67.

Examples

DiracGamma[6] 
 
DiracSubstitute67[%]

γˉ6\bar{\gamma }^6

γˉ52+12\frac{\bar{\gamma }^5}{2}+\frac{1}{2}

DiracGamma[7] 
 
DiracSubstitute67[%]

γˉ7\bar{\gamma }^7

12γˉ52\frac{1}{2}-\frac{\bar{\gamma }^5}{2}

SpinorUBar[Subscript[p, 1]] . GA[6] . SpinorU[Subscript[p, 2]] 
 
DiracSubstitute67[%]

uˉ(p1).γˉ6.u(p2)\bar{u}\left(p_1\right).\bar{\gamma }^6.u\left(p_2\right)

(φ(p1)).(γˉ52+12).(φ(p2))\left(\varphi (\overline{p}_1)\right).\left(\frac{\bar{\gamma }^5}{2}+\frac{1}{2}\right).\left(\varphi (\overline{p}_2)\right)

SpinorUBar[Subscript[p, 1]] . GA[7] . SpinorU[Subscript[p, 2]] 
 
DiracSubstitute67[%]

uˉ(p1).γˉ7.u(p2)\bar{u}\left(p_1\right).\bar{\gamma }^7.u\left(p_2\right)

(φ(p1)).(12γˉ52).(φ(p2))\left(\varphi (\overline{p}_1)\right).\left(\frac{1}{2}-\frac{\bar{\gamma }^5}{2}\right).\left(\varphi (\overline{p}_2)\right)