e = dirac_trace(e);
result += check_equal(e, 4);
+ // traces with multiple representation labels
+ e = dirac_ONE(0) * dirac_ONE(1) / 16;
+ result += check_equal(dirac_trace(e, 0), dirac_ONE(1) / 4);
+ result += check_equal(dirac_trace(e, 1), dirac_ONE(0) / 4);
+ result += check_equal(dirac_trace(e, 2), e);
+ result += check_equal(dirac_trace(e, lst(0, 1)), 1);
+
+ e = dirac_gamma(mu, 0) * dirac_gamma(mu.toggle_variance(), 1) * dirac_gamma(nu, 0) * dirac_gamma(nu.toggle_variance(), 1);
+ result += check_equal_simplify(dirac_trace(e, 0), 4 * dim * dirac_ONE(1));
+ result += check_equal_simplify(dirac_trace(e, 1), 4 * dim * dirac_ONE(0));
+ result += check_equal_simplify(dirac_trace(e, 2), e);
+ result += check_equal_simplify(dirac_trace(e, lst(0, 1)), 16 * dim);
+
return result;
}
unsigned result = 0;
- idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8), k(symbol("k"), 8);
+ idx a(symbol("a"), 8), b(symbol("b"), 8), c(symbol("c"), 8);
ex e;
e = color_ONE();
e = color_T(a) * color_T(b) * color_T(c);
result += check_equal(color_trace(e), color_h(a, b, c) / 4);
+ e = color_ONE(0) * color_ONE(1) / 9;
+ result += check_equal(color_trace(e, 0), color_ONE(1) / 3);
+ result += check_equal(color_trace(e, 1), color_ONE(0) / 3);
+ result += check_equal(color_trace(e, 2), e);
+ result += check_equal(color_trace(e, lst(0, 1)), 1);
+
+ e = color_T(a, 0) * color_T(a, 1) * color_T(b, 0) * color_T(b, 1);
+ result += check_equal_simplify(color_trace(e, 0), 2 * color_ONE(1) / 3);
+ result += check_equal_simplify(color_trace(e, 1), 2 * color_ONE(0) / 3);
+ result += check_equal_simplify(color_trace(e, 2), e);
+ result += check_equal_simplify(color_trace(e, lst(0, 1)), 2);
+
return result;
}