FeynCalc manual (development version)

DiracEquation

DiracEquation[exp] applies the Dirac equation without expanding exp. If expansions are necessary, use DiracSimplify.

See also

Overview

Examples

GS[p] . SpinorU[p, m] 
 
DiracSimplify[%]

\left(\bar{\gamma }\cdot \overline{p}\right).u(p,m)

m \left(\varphi (\overline{p},m)\right)

GS[p] . SpinorU[p, m] 
 
DiracEquation[%]

\left(\bar{\gamma }\cdot \overline{p}\right).u(p,m)

m \left(\varphi (\overline{p},m)\right)

GS[p] . SpinorV[p, m] 
 
DiracEquation[%]

\left(\bar{\gamma }\cdot \overline{p}\right).v(p,m)

-m \left(\varphi (-\overline{p},m)\right)

SpinorUBar[p, 0] . GS[p] 
 
DiracEquation[%]

\bar{u}(p).\left(\bar{\gamma }\cdot \overline{p}\right)

0

DiracEquation also works in D-dimensions

SpinorVBarD[p, m] . GSD[p] 
 
DiracEquation[%]

\bar{v}(p,m).(\gamma \cdot p)

-m (\varphi (-p,m))