symbol dim("D"), m("m"), q("q"), l("l"), ldotq("ldotq");
varidx mu(symbol("mu"), dim), nu(symbol("nu"), dim), rho(symbol("rho"), dim),
- sig(symbol("sig"), dim), kap(symbol("kap"), dim), lam(symbol("lam"), 4);
+ sig(symbol("sig"), dim), kap(symbol("kap"), dim), lam(symbol("lam"), dim);
ex e;
e = dirac_gamma(mu);
// non-cyclicity of order D-4 of gamma5 * S_6
e = dirac_gamma5() * dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(kap) * dirac_gamma(mu.toggle_variance())
+ dim * dirac_gamma5() * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(kap);
- e = dirac_trace(e);
+ e = dirac_trace(e).simplify_indexed();
e = (e / (dim - 4)).normal();
result += check_equal(e, 8 * I * eps0123(nu, rho, sig, kap));
e = dirac_trace(e).simplify_indexed(sp);
result += check_equal(e, 4*(2*ldotq*ldotq + q*q*ldotq - q*q*l*l + q*q*m*m).expand());
+ // stuff that had problems in the past
+ ex prop = dirac_slash(q, dim) - m * dirac_ONE();
+ e = dirac_slash(l, dim) * dirac_gamma5() * dirac_slash(l, dim) * prop;
+ e = dirac_trace(dirac_slash(q, dim) * e) - dirac_trace(m * e)
+ - dirac_trace(prop * e);
+ result += check_equal(e, 0);
+
+ e = (dirac_gamma5() + dirac_ONE()) * dirac_gamma5();
+ e = dirac_trace(e);
+ result += check_equal(e, 4);
+
return result;
}
result += clifford_check3(); cout << '.' << flush;
result += clifford_check4(); cout << '.' << flush;
result += clifford_check5(); cout << '.' << flush;
-
+
if (!result) {
cout << " passed " << endl;
clog << "(no output)" << endl;