+ dim * dirac_gamma5() * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(kap);
e = dirac_trace(e);
e = (e / (dim - 4)).normal();
- result += check_equal(e, 8 * eps0123(nu, rho, sig, kap));
+ result += check_equal(e, 8 * I * eps0123(nu, rho, sig, kap));
// one-loop vacuum polarization in QED
e = dirac_gamma(mu) *
return result;
}
+static unsigned clifford_check5(void)
+{
+ // canonicalize_clifford() checks
+
+ unsigned result = 0;
+
+ symbol dim("D");
+ varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim), lam(symbol("lam"), dim);
+ ex e;
+
+ e = dirac_gamma(mu) * dirac_gamma(nu) + dirac_gamma(nu) * dirac_gamma(mu);
+ result += check_equal(canonicalize_clifford(e), 2*lorentz_g(mu, nu));
+
+ e = (dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(lam)
+ + dirac_gamma(nu) * dirac_gamma(lam) * dirac_gamma(mu)
+ + dirac_gamma(lam) * dirac_gamma(mu) * dirac_gamma(nu)
+ - dirac_gamma(nu) * dirac_gamma(mu) * dirac_gamma(lam)
+ - dirac_gamma(lam) * dirac_gamma(nu) * dirac_gamma(mu)
+ - dirac_gamma(mu) * dirac_gamma(lam) * dirac_gamma(nu)) / 6
+ + lorentz_g(mu, nu) * dirac_gamma(lam)
+ - lorentz_g(mu, lam) * dirac_gamma(nu)
+ + lorentz_g(nu, lam) * dirac_gamma(mu)
+ - dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(lam);
+ result += check_equal(canonicalize_clifford(e), 0);
+
+ return result;
+}
+
unsigned exam_clifford(void)
{
unsigned result = 0;
result += clifford_check2(); cout << '.' << flush;
result += clifford_check3(); cout << '.' << flush;
result += clifford_check4(); cout << '.' << flush;
+ result += clifford_check5(); cout << '.' << flush;
if (!result) {
cout << " passed " << endl;