X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_clifford.cpp;h=b6ec71e455317bccb9b56eed2e96372f35ac47a3;hp=dadd9e163b4334906e8f93f2331d3a2c7300fae6;hb=6872b42cd09e72e7ca9906f4fc2fe775ace2f043;hpb=8a5bcc703e54153669eb60ff4d2c3bd64cd2af0c

diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp
index dadd9e16..b6ec71e4 100644
--- 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) 1999-2004 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
@@ -44,7 +44,7 @@ static unsigned check_equal_simplify(const ex &e1, const ex &e2)
 	return 0;
 }
 
-static unsigned clifford_check1(void)
+static unsigned clifford_check1()
 {
 	// checks general identities and contractions
 
@@ -80,7 +80,7 @@ static unsigned clifford_check1(void)
 	return result;
 }
 
-static unsigned clifford_check2(void)
+static unsigned clifford_check2()
 {
 	// checks identities relating to gamma5
 
@@ -99,7 +99,7 @@ static unsigned clifford_check2(void)
 	return result;
 }
 
-static unsigned clifford_check3(void)
+static unsigned clifford_check3()
 {
 	// checks traces
 
@@ -107,7 +107,7 @@ static unsigned clifford_check3(void)
 
 	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);
@@ -154,29 +154,40 @@ static unsigned clifford_check3(void)
 	// 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));
+	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;
 }
 
-static unsigned clifford_check4(void)
+static unsigned clifford_check4()
 {
 	// simplify_indexed()/dirac_trace() cross-checks
 
@@ -210,7 +221,7 @@ static unsigned clifford_check4(void)
 	return result;
 }
 
-static unsigned clifford_check5(void)
+static unsigned clifford_check5()
 {
 	// canonicalize_clifford() checks
 
@@ -221,7 +232,7 @@ static unsigned clifford_check5(void)
 	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));
+	result += check_equal(canonicalize_clifford(e), 2*dirac_ONE()*lorentz_g(mu, nu));
 
 	e = (dirac_gamma(mu) * dirac_gamma(nu) * dirac_gamma(lam)
 	   + dirac_gamma(nu) * dirac_gamma(lam) * dirac_gamma(mu)
@@ -238,7 +249,7 @@ static unsigned clifford_check5(void)
 	return result;
 }
 
-unsigned exam_clifford(void)
+unsigned exam_clifford()
 {
 	unsigned result = 0;
 	
@@ -250,7 +261,7 @@ unsigned exam_clifford(void)
 	result += clifford_check3();  cout << '.' << flush;
 	result += clifford_check4();  cout << '.' << flush;
 	result += clifford_check5();  cout << '.' << flush;
-	
+
 	if (!result) {
 		cout << " passed " << endl;
 		clog << "(no output)" << endl;