This class holds a generator T_a or the unity element of the Lie algebra of SU(3), as used for calculations in quantum chromodynamics. More...

#include <color.h>

Inheritance diagram for GiNaC::color:

List of all members.

Public Member Functions
	color (const ex &b, unsigned char rl=0)
	Construct object without any color index.
	color (const ex &b, const ex &i1, unsigned char rl=0)
	Construct object with one color index.
	color (unsigned char rl, const exvector &v, bool discardable=false)
	color (unsigned char rl, std::auto_ptr< exvector > vp)
void	archive (archive_node &n) const
	Save (a.k.a.
void	read_archive (const archive_node &n, lst &sym_lst)
	Read (a.k.a.
unsigned char	get_representation_label () const
Protected Member Functions
ex	eval_ncmul (const exvector &v) const
	Perform automatic simplification on noncommutative product of color objects.
bool	match_same_type (const basic &other) const
	Returns true if the attributes of two objects are similar enough for a match.
ex	thiscontainer (const exvector &v) const
ex	thiscontainer (std::auto_ptr< exvector > vp) const
unsigned	return_type () const
return_type_t	return_type_tinfo () const
Private Attributes
unsigned char	representation_label
	Representation label to distinguish independent color matrices coming from separated fermion lines.

Detailed Description

This class holds a generator T_a or the unity element of the Lie algebra of SU(3), as used for calculations in quantum chromodynamics.

A representation label (an unsigned 8-bit integer) is used to distinguish elements from different Lie algebras (objects with different labels commutate). These objects implement an abstract representation of the group, not a specific matrix representation. The indices used for color objects should not have a variance.

Definition at line 40 of file color.h.

Constructor & Destructor Documentation

GiNaC::color::color	(	const ex &	b,
		unsigned char	rl = `0`
	)

Construct object without any color index.

This constructor is for internal use only. Use the color_ONE() function instead.

See also:: color_ONE

Definition at line 78 of file color.cpp.

GiNaC::color::color	(	const ex &	b,
		const ex &	i1,
		unsigned char	rl = `0`
	)

Construct object with one color index.

This constructor is for internal use only. Use the color_T() function instead.

See also:: color_T

Definition at line 85 of file color.cpp.

GiNaC::color::color	(	unsigned char	rl,
		const exvector &	v,
		bool	discardable = `false`
	)

Definition at line 89 of file color.cpp.

GiNaC::color::color	(	unsigned char	rl,
		std::auto_ptr< exvector >	vp
	)

Definition at line 93 of file color.cpp.

Member Function Documentation

void GiNaC::color::archive ( archive_node & n ) const [virtual]

Save (a.k.a.

serialize) indexed object into archive.

Reimplemented from GiNaC::indexed.

Definition at line 114 of file color.cpp.

References GiNaC::archive_node::add_unsigned(), and representation_label.

void GiNaC::color::read_archive	(	const archive_node &	n,
		lst &	syms
	)		`[virtual]`

Read (a.k.a.

deserialize) indexed object from archive.

Reimplemented from GiNaC::indexed.

Definition at line 106 of file color.cpp.

References GiNaC::archive_node::find_unsigned(), and representation_label.

ex GiNaC::color::eval_ncmul ( const exvector & v ) const [protected, virtual]

Perform automatic simplification on noncommutative product of color objects.

This removes superfluous ONEs.

Reimplemented from GiNaC::basic.

Definition at line 163 of file color.cpp.

bool GiNaC::color::match_same_type ( const basic & other ) const [protected, virtual]

Returns true if the attributes of two objects are similar enough for a match.

This function must not match subexpressions (this is already done by basic::match()). Only attributes not accessible by op() should be compared. This is also the reason why this function doesn't take the wildcard replacement list from match() as an argument: only subexpressions are subject to wildcard matches. Also, this function only needs to be implemented for container classes because is_equal_same_type() is automatically used instead of match_same_type() if nops() == 0.