physical momenta are 4-dimensional (just to prove that we can do this now :-)

[ginac.git] / check / exam_clifford.cpp

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index 287a600d10882700ac53a1e28098811f45327082..71f49dba88f9526cd360c377a5609ee437086e8a 100644 (file)
--- a/check/exam_clifford.cpp
+++ b/check/exam_clifford.cpp
@@ -3,7 +3,7 @@
  *  Here we test GiNaC's Clifford algebra objects. */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
@@ -156,23 +156,34 @@ static unsigned clifford_check3(void)
          + dim * dirac_gamma5() * dirac_gamma(nu) * dirac_gamma(rho) * dirac_gamma(sig) * dirac_gamma(kap);
        e = dirac_trace(e).simplify_indexed();
        e = (e / (dim - 4)).normal();
-       result += check_equal(e, 8 * I * eps0123(nu, rho, sig, kap));
+       result += check_equal(e, 8 * I * lorentz_eps(nu.replace_dim(4), rho.replace_dim(4), sig.replace_dim(4), kap.replace_dim(4)));
 
        // one-loop vacuum polarization in QED
        e = dirac_gamma(mu) *
-           (dirac_slash(l, dim) + dirac_slash(q, dim) + m * dirac_ONE()) *
+           (dirac_slash(l, dim) + dirac_slash(q, 4) + m * dirac_ONE()) *
            dirac_gamma(mu.toggle_variance()) *
            (dirac_slash(l, dim) + m * dirac_ONE());
        e = dirac_trace(e).simplify_indexed(sp);
        result += check_equal(e, 4*((2-dim)*l*l + (2-dim)*ldotq + dim*m*m).expand());
 
-       e = dirac_slash(q, dim) *
-           (dirac_slash(l, dim) + dirac_slash(q, dim) + m * dirac_ONE()) *
-           dirac_slash(q, dim) *
+       e = dirac_slash(q, 4) *
+           (dirac_slash(l, dim) + dirac_slash(q, 4) + m * dirac_ONE()) *
+           dirac_slash(q, 4) *
            (dirac_slash(l, dim) + m * dirac_ONE());
        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;
 }