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[%]

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

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

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

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

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

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

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

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

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

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

00

DiracEquation also works in DD-dimensions

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

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

m(φ(p,m))-m (\varphi (-p,m))