* Implementation of GiNaC's clifford algebra (Dirac gamma) 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
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
+#include <iostream>
+#include <stdexcept>
+
#include "clifford.h"
#include "ex.h"
#include "idx.h"
#include "symmetry.h"
#include "lst.h"
#include "relational.h"
+#include "operators.h"
#include "mul.h"
-#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
#include "utils.h"
-#include <stdexcept>
-
namespace GiNaC {
-GINAC_IMPLEMENT_REGISTERED_CLASS(clifford, indexed)
-GINAC_IMPLEMENT_REGISTERED_CLASS(diracone, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(diracgamma, tensor)
-GINAC_IMPLEMENT_REGISTERED_CLASS(diracgamma5, tensor)
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(clifford, indexed,
+ print_func<print_dflt>(&clifford::do_print_dflt).
+ print_func<print_latex>(&clifford::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(diracone, tensor,
+ print_func<print_dflt>(&diracone::do_print).
+ print_func<print_latex>(&diracone::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(diracgamma, tensor,
+ print_func<print_dflt>(&diracgamma::do_print).
+ print_func<print_latex>(&diracgamma::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(diracgamma5, tensor,
+ print_func<print_dflt>(&diracgamma5::do_print).
+ print_func<print_latex>(&diracgamma5::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(diracgammaL, tensor,
+ print_func<print_context>(&diracgammaL::do_print).
+ print_func<print_latex>(&diracgammaL::do_print_latex))
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(diracgammaR, tensor,
+ print_func<print_context>(&diracgammaR::do_print).
+ print_func<print_latex>(&diracgammaR::do_print_latex))
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default constructors
//////////
clifford::clifford() : representation_label(0)
{
- debugmsg("clifford default constructor", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
-void clifford::copy(const clifford & other)
-{
- inherited::copy(other);
- representation_label = other.representation_label;
-}
-
-DEFAULT_DESTROY(clifford)
-DEFAULT_CTORS(diracone)
-DEFAULT_CTORS(diracgamma)
-DEFAULT_CTORS(diracgamma5)
+DEFAULT_CTOR(diracone)
+DEFAULT_CTOR(diracgamma)
+DEFAULT_CTOR(diracgamma5)
+DEFAULT_CTOR(diracgammaL)
+DEFAULT_CTOR(diracgammaR)
//////////
// other constructors
* @see dirac_ONE */
clifford::clifford(const ex & b, unsigned char rl) : inherited(b), representation_label(rl)
{
- debugmsg("clifford constructor from ex", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
* @see dirac_gamma */
clifford::clifford(const ex & b, const ex & mu, unsigned char rl) : inherited(b, mu), representation_label(rl)
{
- debugmsg("clifford constructor from ex,ex", LOGLEVEL_CONSTRUCT);
GINAC_ASSERT(is_a<varidx>(mu));
tinfo_key = TINFO_clifford;
}
clifford::clifford(unsigned char rl, const exvector & v, bool discardable) : inherited(sy_none(), v, discardable), representation_label(rl)
{
- debugmsg("clifford constructor from unsigned char,exvector", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
-clifford::clifford(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl)
+clifford::clifford(unsigned char rl, std::auto_ptr<exvector> vp) : inherited(sy_none(), vp), representation_label(rl)
{
- debugmsg("clifford constructor from unsigned char,exvector *", LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_clifford;
}
// archiving
//////////
-clifford::clifford(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+clifford::clifford(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
{
- debugmsg("clifford constructor from archive_node", LOGLEVEL_CONSTRUCT);
unsigned rl;
n.find_unsigned("label", rl);
representation_label = rl;
DEFAULT_ARCHIVING(diracone)
DEFAULT_ARCHIVING(diracgamma)
DEFAULT_ARCHIVING(diracgamma5)
+DEFAULT_ARCHIVING(diracgammaL)
+DEFAULT_ARCHIVING(diracgammaR)
//////////
// functions overriding virtual functions from base classes
return representation_label == o.representation_label;
}
-void clifford::print(const print_context & c, unsigned level) const
+static bool is_dirac_slash(const ex & seq0)
{
- if (!is_a<diracgamma5>(seq[0]) && !is_a<diracgamma>(seq[0]) && !is_a<diracone>(seq[0])) {
-
- // dirac_slash() object is printed differently
- if (is_a<print_tree>(c))
- inherited::print(c, level);
- else if (is_a<print_latex>(c)) {
- c.s << "{";
- seq[0].print(c, level);
- c.s << "\\hspace{-1.0ex}/}";
- } else {
- seq[0].print(c, level);
- c.s << "\\";
- }
+ return !is_a<diracgamma5>(seq0) && !is_a<diracgammaL>(seq0) &&
+ !is_a<diracgammaR>(seq0) && !is_a<diracgamma>(seq0) &&
+ !is_a<diracone>(seq0);
+}
+void clifford::do_print_dflt(const print_dflt & c, unsigned level) const
+{
+ // dirac_slash() object is printed differently
+ if (is_dirac_slash(seq[0])) {
+ seq[0].print(c, level);
+ c.s << "\\";
} else
- inherited::print(c, level);
+ this->print_dispatch<inherited>(c, level);
+}
+
+void clifford::do_print_latex(const print_latex & c, unsigned level) const
+{
+ // dirac_slash() object is printed differently
+ if (is_dirac_slash(seq[0])) {
+ c.s << "{";
+ seq[0].print(c, level);
+ c.s << "\\hspace{-1.0ex}/}";
+ } else
+ this->print_dispatch<inherited>(c, level);
}
DEFAULT_COMPARE(diracone)
DEFAULT_COMPARE(diracgamma)
DEFAULT_COMPARE(diracgamma5)
+DEFAULT_COMPARE(diracgammaL)
+DEFAULT_COMPARE(diracgammaR)
DEFAULT_PRINT_LATEX(diracone, "ONE", "\\mathbb{1}")
DEFAULT_PRINT_LATEX(diracgamma, "gamma", "\\gamma")
DEFAULT_PRINT_LATEX(diracgamma5, "gamma5", "{\\gamma^5}")
+DEFAULT_PRINT_LATEX(diracgammaL, "gammaL", "{\\gamma_L}")
+DEFAULT_PRINT_LATEX(diracgammaR, "gammaR", "{\\gamma_R}")
/** This function decomposes gamma~mu -> (1, mu) and a\ -> (a.ix, ix) */
static void base_and_index(const ex & c, ex & b, ex & i)
if (is_a<diracgamma>(c.op(0))) { // proper dirac gamma object
i = c.op(1);
b = _ex1;
+ } else if (is_a<diracgamma5>(c.op(0)) || is_a<diracgammaL>(c.op(0)) || is_a<diracgammaR>(c.op(0))) { // gamma5/L/R
+ i = _ex0;
+ b = _ex1;
} else { // slash object, generate new dummy index
varidx ix((new symbol)->setflag(status_flags::dynallocated), ex_to<idx>(c.op(1)).get_dim());
b = indexed(c.op(0), ix.toggle_variance());
GINAC_ASSERT(is_a<diracgamma>(self->op(0)));
unsigned char rl = ex_to<clifford>(*self).get_representation_label();
+ ex dim = ex_to<idx>(self->op(1)).get_dim();
+ if (other->nops() > 1)
+ dim = minimal_dim(dim, ex_to<idx>(other->op(1)).get_dim());
+
if (is_a<clifford>(*other)) {
- ex dim = ex_to<idx>(self->op(1)).get_dim();
+ // Contraction only makes sense if the represenation labels are equal
+ if (ex_to<clifford>(*other).get_representation_label() != rl)
+ return false;
// gamma~mu gamma.mu = dim ONE
if (other - self == 1) {
*other = _ex1;
return true;
}
+
+ } else if (is_a<symbol>(other->op(0)) && other->nops() == 2) {
+
+ // x.mu gamma~mu -> x-slash
+ *self = dirac_slash(other->op(0), dim, rl);
+ *other = _ex1;
+ return true;
}
return false;
}
/** Perform automatic simplification on noncommutative product of clifford
- * objects. This removes superfluous ONEs, permutes gamma5's to the front
+ * objects. This removes superfluous ONEs, permutes gamma5/L/R's to the front
* and removes squares of gamma objects. */
-ex clifford::simplify_ncmul(const exvector & v) const
+ex clifford::eval_ncmul(const exvector & v) const
{
exvector s;
s.reserve(v.size());
bool something_changed = false;
int sign = 1;
- // Anticommute gamma5's to the front
+ // Anticommute gamma5/L/R's to the front
if (s.size() >= 2) {
exvector::iterator first = s.begin(), next_to_last = s.end() - 2;
while (true) {
exvector::iterator it = next_to_last;
while (true) {
exvector::iterator it2 = it + 1;
- if (is_a<clifford>(*it) && is_a<clifford>(*it2) && !is_a<diracgamma5>(it->op(0)) && is_a<diracgamma5>(it2->op(0))) {
- it->swap(*it2);
- sign = -sign;
- something_changed = true;
+ if (is_a<clifford>(*it) && is_a<clifford>(*it2)) {
+ ex e1 = it->op(0), e2 = it2->op(0);
+
+ if (is_a<diracgamma5>(e2)) {
+
+ if (is_a<diracgammaL>(e1) || is_a<diracgammaR>(e1)) {
+
+ // gammaL/R gamma5 -> gamma5 gammaL/R
+ it->swap(*it2);
+ something_changed = true;
+
+ } else if (!is_a<diracgamma5>(e1)) {
+
+ // gamma5 gamma5 -> gamma5 gamma5 (do nothing)
+ // x gamma5 -> -gamma5 x
+ it->swap(*it2);
+ sign = -sign;
+ something_changed = true;
+ }
+
+ } else if (is_a<diracgammaL>(e2)) {
+
+ if (is_a<diracgammaR>(e1)) {
+
+ // gammaR gammaL -> 0
+ return _ex0;
+
+ } else if (!is_a<diracgammaL>(e1) && !is_a<diracgamma5>(e1)) {
+
+ // gammaL gammaL -> gammaL gammaL (do nothing)
+ // gamma5 gammaL -> gamma5 gammaL (do nothing)
+ // x gammaL -> gammaR x
+ it->swap(*it2);
+ *it = clifford(diracgammaR(), ex_to<clifford>(*it).get_representation_label());
+ something_changed = true;
+ }
+
+ } else if (is_a<diracgammaR>(e2)) {
+
+ if (is_a<diracgammaL>(e1)) {
+
+ // gammaL gammaR -> 0
+ return _ex0;
+
+ } else if (!is_a<diracgammaR>(e1) && !is_a<diracgamma5>(e1)) {
+
+ // gammaR gammaR -> gammaR gammaR (do nothing)
+ // gamma5 gammaR -> gamma5 gammaR (do nothing)
+ // x gammaR -> gammaL x
+ it->swap(*it2);
+ *it = clifford(diracgammaL(), ex_to<clifford>(*it).get_representation_label());
+ something_changed = true;
+ }
+ }
}
if (it == first)
break;
}
}
- // Remove squares of gamma5
- while (s.size() >= 2 && is_a<clifford>(s[0]) && is_a<clifford>(s[1]) && is_a<diracgamma5>(s[0].op(0)) && is_a<diracgamma5>(s[1].op(0))) {
- s.erase(s.begin(), s.begin() + 2);
- something_changed = true;
- }
-
// Remove equal adjacent gammas
if (s.size() >= 2) {
exvector::iterator it, itend = s.end() - 1;
ex & b = it[1];
if (!is_a<clifford>(a) || !is_a<clifford>(b))
continue;
- if (is_a<diracgamma>(a.op(0)) && is_a<diracgamma>(b.op(0))) {
+
+ const ex & ag = a.op(0);
+ const ex & bg = b.op(0);
+ bool a_is_diracgamma = is_a<diracgamma>(ag);
+ bool b_is_diracgamma = is_a<diracgamma>(bg);
+
+ if (a_is_diracgamma && b_is_diracgamma) {
+
const ex & ia = a.op(1);
const ex & ib = b.op(1);
if (ia.is_equal(ib)) { // gamma~alpha gamma~alpha -> g~alpha~alpha
b = dirac_ONE(representation_label);
something_changed = true;
}
- } else if (!is_a<diracgamma>(a.op(0)) && !is_a<diracgamma>(b.op(0))) {
- const ex & ba = a.op(0);
- const ex & bb = b.op(0);
- if (ba.is_equal(bb)) { // a\ a\ -> a^2
- varidx ix((new symbol)->setflag(status_flags::dynallocated), ex_to<idx>(a.op(1)).get_dim());
- a = indexed(ba, ix) * indexed(bb, ix.toggle_variance());
- b = dirac_ONE(representation_label);
- something_changed = true;
- }
+
+ } else if ((is_a<diracgamma5>(ag) && is_a<diracgamma5>(bg))) {
+
+ // Remove squares of gamma5
+ a = dirac_ONE(representation_label);
+ b = dirac_ONE(representation_label);
+ something_changed = true;
+
+ } else if ((is_a<diracgammaL>(ag) && is_a<diracgammaL>(bg))
+ || (is_a<diracgammaR>(ag) && is_a<diracgammaR>(bg))) {
+
+ // Remove squares of gammaL/R
+ b = dirac_ONE(representation_label);
+ something_changed = true;
+
+ } else if (is_a<diracgammaL>(ag) && is_a<diracgammaR>(bg)) {
+
+ // gammaL and gammaR are orthogonal
+ return _ex0;
+
+ } else if (is_a<diracgamma5>(ag) && is_a<diracgammaL>(bg)) {
+
+ // gamma5 gammaL -> -gammaL
+ a = dirac_ONE(representation_label);
+ sign = -sign;
+ something_changed = true;
+
+ } else if (is_a<diracgamma5>(ag) && is_a<diracgammaR>(bg)) {
+
+ // gamma5 gammaR -> gammaR
+ a = dirac_ONE(representation_label);
+ something_changed = true;
+
+ } else if (!a_is_diracgamma && !b_is_diracgamma && ag.is_equal(bg)) {
+
+ // a\ a\ -> a^2
+ varidx ix((new symbol)->setflag(status_flags::dynallocated), ex_to<idx>(a.op(1)).minimal_dim(ex_to<idx>(b.op(1))));
+ a = indexed(ag, ix) * indexed(ag, ix.toggle_variance());
+ b = dirac_ONE(representation_label);
+ something_changed = true;
}
}
}
if (s.empty())
return clifford(diracone(), representation_label) * sign;
if (something_changed)
- return nonsimplified_ncmul(s) * sign;
+ return reeval_ncmul(s) * sign;
else
- return simplified_ncmul(s) * sign;
+ return hold_ncmul(s) * sign;
}
-ex clifford::thisexprseq(const exvector & v) const
+ex clifford::thiscontainer(const exvector & v) const
{
return clifford(representation_label, v);
}
-ex clifford::thisexprseq(exvector * vp) const
+ex clifford::thiscontainer(std::auto_ptr<exvector> vp) const
{
return clifford(representation_label, vp);
}
+ex diracgamma5::conjugate() const
+{
+ return _ex_1 * (*this);
+}
+
+ex diracgammaL::conjugate() const
+{
+ return (new diracgammaR)->setflag(status_flags::dynallocated);
+}
+
+ex diracgammaR::conjugate() const
+{
+ return (new diracgammaL)->setflag(status_flags::dynallocated);
+}
+
//////////
// global functions
//////////
return clifford(diracgamma5(), rl);
}
-ex dirac_gamma6(unsigned char rl)
+ex dirac_gammaL(unsigned char rl)
{
- return clifford(diracone(), rl) + clifford(diracgamma5(), rl);
+ return clifford(diracgammaL(), rl);
}
-ex dirac_gamma7(unsigned char rl)
+ex dirac_gammaR(unsigned char rl)
{
- return clifford(diracone(), rl) - clifford(diracgamma5(), rl);
+ return clifford(diracgammaR(), rl);
}
ex dirac_slash(const ex & e, const ex & dim, unsigned char rl)
/** Take trace of a string of an even number of Dirac gammas given a vector
* of indices. */
-static ex trace_string(exvector::const_iterator ix, unsigned num)
+static ex trace_string(exvector::const_iterator ix, size_t num)
{
// Tr gamma.mu gamma.nu = 4 g.mu.nu
if (num == 2)
return lorentz_g(ix[0], ix[1]);
- // Tr gamma.mu gamma.nu gamma.rho gamma.sig = 4 (g.mu.nu g.rho.sig + g.nu.rho g.mu.sig - g.mu.rho g.nu.sig
+ // Tr gamma.mu gamma.nu gamma.rho gamma.sig = 4 (g.mu.nu g.rho.sig + g.nu.rho g.mu.sig - g.mu.rho g.nu.sig )
else if (num == 4)
return lorentz_g(ix[0], ix[1]) * lorentz_g(ix[2], ix[3])
+ lorentz_g(ix[1], ix[2]) * lorentz_g(ix[0], ix[3])
exvector v(num - 2);
int sign = 1;
ex result;
- for (unsigned i=1; i<num; i++) {
- for (unsigned n=1, j=0; n<num; n++) {
+ for (size_t i=1; i<num; i++) {
+ for (size_t n=1, j=0; n<num; n++) {
if (n == i)
continue;
v[j++] = ix[n];
{
if (is_a<clifford>(e)) {
- if (ex_to<clifford>(e).get_representation_label() == rl
- && is_a<diracone>(e.op(0)))
+ if (!ex_to<clifford>(e).get_representation_label() == rl)
+ return _ex0;
+ const ex & g = e.op(0);
+ if (is_a<diracone>(g))
return trONE;
+ else if (is_a<diracgammaL>(g) || is_a<diracgammaR>(g))
+ return trONE/2;
else
return _ex0;
- } else if (is_ex_exactly_of_type(e, mul)) {
+ } else if (is_exactly_a<mul>(e)) {
// Trace of product: pull out non-clifford factors
ex prod = _ex1;
- for (unsigned i=0; i<e.nops(); i++) {
+ for (size_t i=0; i<e.nops(); i++) {
const ex &o = e.op(i);
if (is_clifford_tinfo(o.return_type_tinfo(), rl))
prod *= dirac_trace(o, rl, trONE);
}
return prod;
- } else if (is_ex_exactly_of_type(e, ncmul)) {
+ } else if (is_exactly_a<ncmul>(e)) {
if (!is_clifford_tinfo(e.return_type_tinfo(), rl))
return _ex0;
- // Expand product, if necessary
- ex e_expanded = e.expand();
+ // Substitute gammaL/R and expand product, if necessary
+ ex e_expanded = e.subs(lst(
+ dirac_gammaL(rl) == (dirac_ONE(rl)-dirac_gamma5(rl))/2,
+ dirac_gammaR(rl) == (dirac_ONE(rl)+dirac_gamma5(rl))/2
+ ), subs_options::no_pattern).expand();
if (!is_a<ncmul>(e_expanded))
return dirac_trace(e_expanded, rl, trONE);
// gamma5 gets moved to the front so this check is enough
bool has_gamma5 = is_a<diracgamma5>(e.op(0).op(0));
- unsigned num = e.nops();
+ size_t num = e.nops();
if (has_gamma5) {
return _ex0;
// Tr gamma5 gamma.mu gamma.nu gamma.rho gamma.sigma = 4I * epsilon(mu, nu, rho, sigma)
+ // (the epsilon is always 4-dimensional)
if (num == 5) {
ex b1, i1, b2, i2, b3, i3, b4, i4;
base_and_index(e.op(1), b1, i1);
base_and_index(e.op(2), b2, i2);
base_and_index(e.op(3), b3, i3);
base_and_index(e.op(4), b4, i4);
- return trONE * I * (eps0123(i1, i2, i3, i4) * b1 * b2 * b3 * b4).simplify_indexed();
+ return trONE * I * (lorentz_eps(ex_to<idx>(i1).replace_dim(_ex4), ex_to<idx>(i2).replace_dim(_ex4), ex_to<idx>(i3).replace_dim(_ex4), ex_to<idx>(i4).replace_dim(_ex4)) * b1 * b2 * b3 * b4).simplify_indexed();
}
// Tr gamma5 S_2k =
// I/4! * epsilon0123.mu1.mu2.mu3.mu4 * Tr gamma.mu1 gamma.mu2 gamma.mu3 gamma.mu4 S_2k
+ // (the epsilon is always 4-dimensional)
exvector ix(num-1), bv(num-1);
- for (unsigned i=1; i<num; i++)
+ for (size_t i=1; i<num; i++)
base_and_index(e.op(i), bv[i-1], ix[i-1]);
num--;
int *iv = new int[num];
ex result;
- for (unsigned i=0; i<num-3; i++) {
+ for (size_t i=0; i<num-3; i++) {
ex idx1 = ix[i];
- for (unsigned j=i+1; j<num-2; j++) {
+ for (size_t j=i+1; j<num-2; j++) {
ex idx2 = ix[j];
- for (unsigned k=j+1; k<num-1; k++) {
+ for (size_t k=j+1; k<num-1; k++) {
ex idx3 = ix[k];
- for (unsigned l=k+1; l<num; l++) {
+ for (size_t l=k+1; l<num; l++) {
ex idx4 = ix[l];
iv[0] = i; iv[1] = j; iv[2] = k; iv[3] = l;
exvector v;
v.reserve(num - 4);
- for (unsigned n=0, t=4; n<num; n++) {
+ for (size_t n=0, t=4; n<num; n++) {
if (n == i || n == j || n == k || n == l)
continue;
iv[t++] = n;
v.push_back(ix[n]);
}
int sign = permutation_sign(iv, iv + num);
- result += sign * eps0123(idx1, idx2, idx3, idx4)
+ result += sign * lorentz_eps(ex_to<idx>(idx1).replace_dim(_ex4), ex_to<idx>(idx2).replace_dim(_ex4), ex_to<idx>(idx3).replace_dim(_ex4), ex_to<idx>(idx4).replace_dim(_ex4))
* trace_string(v.begin(), num - 4);
}
}
}
exvector iv(num), bv(num);
- for (unsigned i=0; i<num; i++)
+ for (size_t i=0; i<num; i++)
base_and_index(e.op(i), bv[i], iv[i]);
return trONE * (trace_string(iv.begin(), num) * mul(bv)).simplify_indexed();
ex canonicalize_clifford(const ex & e)
{
// Scan for any ncmul objects
- lst srl;
+ exmap srl;
ex aux = e.to_rational(srl);
- for (unsigned i=0; i<srl.nops(); i++) {
+ for (exmap::iterator i = srl.begin(); i != srl.end(); ++i) {
- ex lhs = srl.op(i).lhs();
- ex rhs = srl.op(i).rhs();
+ ex lhs = i->first;
+ ex rhs = i->second;
- if (is_ex_exactly_of_type(rhs, ncmul)
+ if (is_exactly_a<ncmul>(rhs)
&& rhs.return_type() == return_types::noncommutative
&& is_clifford_tinfo(rhs.return_type_tinfo())) {
// Expand product, if necessary
ex rhs_expanded = rhs.expand();
if (!is_a<ncmul>(rhs_expanded)) {
- srl.let_op(i) = (lhs == canonicalize_clifford(rhs_expanded));
+ i->second = canonicalize_clifford(rhs_expanded);
continue;
} else if (!is_a<clifford>(rhs.op(0)))
exvector v;
v.reserve(rhs.nops());
- for (unsigned j=0; j<rhs.nops(); j++)
+ for (size_t j=0; j<rhs.nops(); j++)
v.push_back(rhs.op(j));
// Stupid recursive bubble sort because we only want to swap adjacent gammas
exvector::iterator it = v.begin(), next_to_last = v.end() - 1;
- if (is_a<diracgamma5>(it->op(0)))
+ if (is_a<diracgamma5>(it->op(0)) || is_a<diracgammaL>(it->op(0)) || is_a<diracgammaR>(it->op(0)))
++it;
while (it != next_to_last) {
if (it[0].compare(it[1]) > 0) {
base_and_index(it[0], b1, i1);
base_and_index(it[1], b2, i2);
it[0] = (lorentz_g(i1, i2) * b1 * b2).simplify_indexed();
- it[1] = _ex2;
+ it[1] = v.size() == 2 ? _ex2 * dirac_ONE(ex_to<clifford>(it[1]).get_representation_label()) : _ex2;
ex sum = ncmul(v);
it[0] = save1;
it[1] = save0;
sum -= ncmul(v, true);
- srl.let_op(i) = (lhs == canonicalize_clifford(sum));
+ i->second = canonicalize_clifford(sum);
goto next_sym;
}
++it;
next_sym: ;
}
}
- return aux.subs(srl).simplify_indexed();
+ return aux.subs(srl, subs_options::no_pattern).simplify_indexed();
}
} // namespace GiNaC