X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fcolor.h;h=04d7c5d9e88c106869d37c2e025c3b1fe5e7faa9;hp=2b607e3c8e9dd41db9db81b9f8edb2a28ee209ee;hb=e58f5808a2d0fe6cb9d60370ede700d97a8bb702;hpb=e58227e1112f989f3b5417e497a61d53fc2971fa;ds=sidebyside diff --git a/ginac/color.h b/ginac/color.h index 2b607e3c..04d7c5d9 100644 --- a/ginac/color.h +++ b/ginac/color.h @@ -1,6 +1,6 @@ /** @file color.h * - * Interface to GiNaC's color objects. */ + * Interface to GiNaC's color (SU(3) Lie algebra) objects. */ /* * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany @@ -23,160 +23,133 @@ #ifndef __GINAC_COLOR_H__ #define __GINAC_COLOR_H__ -#include -#include #include "indexed.h" -#include "ex.h" +#include "tensor.h" -#ifndef NO_NAMESPACE_GINAC namespace GiNaC { -#endif // ndef NO_NAMESPACE_GINAC - -const unsigned MAX_REPRESENTATION_LABELS = 4; -const unsigned COLOR_EIGHT = 8; // N*N-1 -const unsigned COLOR_THREE = 3; // N - -// Cint doesn't like vector<..,default_alloc> but malloc_alloc is -// unstandardized and not supported by newer GCCs. -#if defined(__GNUC__) && ((__GNUC__ == 2) && (__GNUC_MINOR__ < 97)) -typedef std::vector exvectorvector; -#else -typedef std::vector exvectorvector; -#endif - - -/** This class holds an object carrying color indices (of class coloridx). - * It can represent the generators T_a and structure constants f_abc/d_abc - * of SU(3), the unity element ONE of the Lie algebra of SU(3), or the - * unity matrix delta8. Together, these objects are used to implement the - * Lie algebra su(3), as required for calculations in quantum - * chromodynamics. A representation label (an unsigned integer) is used to - * distinguish elements from different Lie algebras (only objects with the - * same representation label "interact" with each other). */ + + +/** 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 + * commute). 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. */ class color : public indexed { GINAC_DECLARE_REGISTERED_CLASS(color, indexed) -// friends - - friend color color_ONE(unsigned rl); - friend color color_T(const ex & a, unsigned rl); - friend color color_f(const ex & a, const ex & b, const ex & c); - friend color color_d(const ex & a, const ex & b, const ex & c); - friend ex color_h(const ex & a, const ex & b, const ex & c); - friend color color_delta8(const ex & a, const ex & b); - friend unsigned subs_index_in_exvector(exvector & v, const ex & is, const ex & ir); - friend void split_color_string_in_parts(const exvector & v, exvector & delta8vec, - exvector & fvec, exvector & dvec, - exvectorvector & Tvecs, - exvectorvector & ONEvecs, - exvector & unknownvec); - friend exvector recombine_color_string(exvector & delta8vec, exvector & fvec, - exvector & dvec, exvectorvector & Tvecs, - exvectorvector & ONEvecs, exvector & unknownvec); - friend ex color_trace_of_one_representation_label(const exvector & v); - friend ex color_trace(const exvector & v, unsigned rl); - friend ex simplify_pure_color_string(const ex & e); - friend ex simplify_color(const ex & e); - -// types - -public: - /** Type of object */ - typedef enum { - invalid, /**< not properly constructed */ - color_T, /**< one of the generators T_a of SU(3) (these are non-commutative) */ - color_f, /**< one of the antisymmetric structure constants f_abc of SU(3) */ - color_d, /**< one of the symmetric structure constants d_abc of SU(3) */ - color_delta8, /**< the unity matrix */ - color_ONE /**< the unity element of su(3) */ - } color_types; - -// member functions - - // default constructor, destructor, copy constructor assignment operator and helpers + // other constructors public: - color(); - ~color(); - color(const color & other); - const color & operator=(const color & other); -protected: - void copy(const color & other); - void destroy(bool call_parent); + color(const ex & b, unsigned char rl = 0); + color(const ex & b, const ex & i1, unsigned char rl = 0); + + // internal constructors + color(unsigned char rl, const exvector & v, bool discardable = false); + color(unsigned char rl, exvector * vp); // vp will be deleted - // other constructors -protected: - color(color_types const t, unsigned rl=0); - color(color_types const t, const ex & i1, unsigned rl=0); - color(color_types const t, const ex & i1, const ex & i2, unsigned rl=0); - color(color_types const t, const ex & i1, const ex & i2, const ex & i3, - unsigned rl=0); - color(color_types const t, const exvector & iv, unsigned rl=0); - color(color_types const t, exvector * ivp, unsigned rl=0); - // functions overriding virtual functions from base classes -public: - basic * duplicate() const; - void printraw(std::ostream & os) const; - void printtree(std::ostream & os, unsigned indent) const; - void print(std::ostream & os, unsigned upper_precedence=0) const; - bool info(unsigned inf) const; - ex eval(int level=0) const; protected: - int compare_same_type(const basic & other) const; - bool is_equal_same_type(const basic & other) const; ex simplify_ncmul(const exvector & v) const; ex thisexprseq(const exvector & v) const; ex thisexprseq(exvector * vp) const; + unsigned return_type(void) const { return return_types::noncommutative; } + unsigned return_type_tinfo(void) const { return TINFO_color + representation_label; } - // new virtual functions which can be overridden by derived classes - // none - - // non-virtual functions in this class -protected: - bool all_of_type_coloridx(void) const; - -// member variables + // member variables +private: + unsigned char representation_label; /**< Representation label to distinguish independent color matrices coming from separated fermion lines */ +}; -protected: - color_types type; /**< Type of object (generator, structure constant etc.) */ - unsigned representation_label; /**< Representation label to distiguish independent color matrices coming from separated fermion lines */ + +/** This class represents the su(3) unity element. */ +class su3one : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(su3one, tensor) + + // functions overriding virtual functions from bases classes +public: + void print(const print_context & c, unsigned level = 0) const; }; +/** This class represents an su(3) generator. */ +class su3t : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(su3t, tensor) + + // functions overriding virtual functions from bases classes +public: + void print(const print_context & c, unsigned level = 0) const; +}; + +/** This class represents the tensor of antisymmetric su(3) structure + * constants. */ +class su3f : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(su3f, tensor) + + // functions overriding virtual functions from bases classes +public: + void print(const print_context & c, unsigned level = 0) const; + ex eval_indexed(const basic & i) const; + bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; +}; + +/** This class represents the tensor of symmetric su(3) structure constants. */ +class su3d : public tensor +{ + GINAC_DECLARE_REGISTERED_CLASS(su3d, tensor) + + // functions overriding virtual functions from bases classes +public: + void print(const print_context & c, unsigned level = 0) const; + ex eval_indexed(const basic & i) const; + bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; +}; + + // global functions inline const color &ex_to_color(const ex &e) { return static_cast(*e.bp); } -inline color &ex_to_nonconst_color(const ex &e) -{ - return static_cast(*e.bp); -} -color color_ONE(unsigned rl=0); -color color_T(const ex & a, unsigned rl=0); -color color_f(const ex & a, const ex & b, const ex & c); -color color_d(const ex & a, const ex & b, const ex & c); +/** Create the su(3) unity element. This is an indexed object, although it + * has no indices. + * + * @param rl Representation label + * @return newly constructed unity element */ +ex color_ONE(unsigned char rl = 0); + +/** Create an su(3) generator. + * + * @param a Index + * @param rl Representation label + * @return newly constructed unity generator */ +ex color_T(const ex & a, unsigned char rl = 0); + +/** Create an su(3) antisymmetric structure constant. + * + * @param a First index + * @param b Second index + * @param c Third index + * @return newly constructed structure constant */ +ex color_f(const ex & a, const ex & b, const ex & c); + +/** Create an su(3) symmetric structure constant. + * + * @param a First index + * @param b Second index + * @param c Third index + * @return newly constructed structure constant */ +ex color_d(const ex & a, const ex & b, const ex & c); + +/** This returns the linear combination d.a.b.c+I*f.a.b.c. */ ex color_h(const ex & a, const ex & b, const ex & c); -color color_delta8(const ex & a, const ex & b); -void split_color_string_in_parts(const exvector & v, exvector & delta8vec, - exvector & fvec, exvector & dvec, - exvectorvector & Tvecs, - exvectorvector & ONEvecs, - exvector & unknownvec); -exvector recombine_color_string(exvector & delta8vec, exvector & fvec, - exvector & dvec, exvectorvector & Tvecs, - exvectorvector & ONEvecs, exvector & unknownvec); -ex color_trace_of_one_representation_label(const exvector & v); -ex color_trace(const exvector & v, unsigned rl=0); -ex simplify_pure_color_string(const ex & e); -ex simplify_color(const ex & e); - -ex brute_force_sum_color_indices(const ex & e); - -#ifndef NO_NAMESPACE_GINAC + + } // namespace GiNaC -#endif // ndef NO_NAMESPACE_GINAC #endif // ndef __GINAC_COLOR_H__