ColorFull::Col_amp Class Reference

#include <Col_amp.h>

Public Member Functions
	Col_amp ()
	Col_amp (const std::string str)
	Col_amp (Col_str Cs)
void	read_in_Col_amp (std::string filename)
void	write_out_Col_amp (std::string filename) const
const Col_str &	at (int i) const
Col_str &	at (int i)
uint	size () const
bool	empty () const
void	clear ()
void	erase (int i)
void	append (Col_str Cs)
void	append (col_amp ca_in)
bool	gluons_only () const
int	n_gluon () const
int	n_quark () const
int	n_quark_check () const
int	n_gluon_check () const
int	longest_quark_line () const
void	remove_1_rings ()
void	remove_0_rings ()
void	remove_empty_Col_strs ()
void	collect_col_strs ()
void	normal_order_col_strs ()
void	normal_order ()
void	simplify ()
void	conjugate ()
void	contract_next_neighboring_gluons ()
void	contract_2_rings ()
void	contract_Quark_line_gluons ()
void	contract_a_gluon ()
void	contract_all_gluons ()
void	contract_quarks (const Col_amp &Ca1, const Col_amp &Ca2)

Public Attributes
col_amp	ca
Polynomial	Scalar

Detailed Description

The full color amplitude is Scalar + Cs1+Cs2+Cs3... Col_amp is a class to contain info on several Col_strs, a color amplitude.

Constructor & Destructor Documentation

Col_amp() [1/3]

ColorFull::Col_amp::Col_amp ( )

inline

Default constructor, sets Scalar=0, and leaves ca empty.

Col_amp() [2/3]

ColorFull::Col_amp::Col_amp ( const std::string  str )

inline

Constructor taking a string as argument. The string should be of form Polynomial1* col_str1 + Polynomial2*col_str2, for example: Col_amp Ca("13*Nc*[(1, 3, 4, 2)] +2 TR 5 Nc^(-3) [(1, 4) (3, 2)]"). (The Polynomials should multiply the whole col_strs in square brackets, rather than a quark_line inside the []-brackets.)

Col_amp() [3/3]

ColorFull::Col_amp::Col_amp ( Col_str  Cs )

inline

Constructor converting a Col_str to a Col_amp.

Member Function Documentation

append() [1/2]

void ColorFull::Col_amp::append ( Col_str  Cs )

inline

Appends a Col_str to the data member ca.

append() [2/2]

void ColorFull::Col_amp::append

(

col_amp

ca_in

)

Appends the Col_strs in ca_in to the col_amp member ca.

at() [1/2]

const Col_str& ColorFull::Col_amp::at ( int  i ) const

inline

Returns the Col_str at place i.

at() [2/2]

Col_str& ColorFull::Col_amp::at ( int  i )

inline

Returns the Col_str at place i.

clear()

void ColorFull::Col_amp::clear ( )

inline

Erases the information in the col_amp.

collect_col_strs()

void ColorFull::Col_amp::collect_col_strs

(

)

Compares col_strs in a Col_amp to collect similar col_strs and only store once in ca.

conjugate()

void ColorFull::Col_amp::conjugate

(

)

Function for taking the conjugate of the Col_amp by conjugating each Col_str in ca and the Polynomial member Scalar.

contract_2_rings()

void ColorFull::Col_amp::contract_2_rings

(

)

Contract closed Quark_lines with only 2 gluons in each Quark_line in each Col_str in the Col_amp. This removes the 2-ring, replaces one of the gluon indices and multiplies with a factor tr[t^a t^a]=TR (no sum). only intended for fully contractable Col_strs.

contract_a_gluon()

void ColorFull::Col_amp::contract_a_gluon

(

)

Contracts one gluon, the first gluon in first Quark_line (in each Col_str), only intended for closed Quark_lines.

contract_all_gluons()

void ColorFull::Col_amp::contract_all_gluons

(

)

Function for contracting all gluon indices in a Col_amp, only intended for closed Quark_lines.

contract_next_neighboring_gluons()

void ColorFull::Col_amp::contract_next_neighboring_gluons

(

)

Contracts up to next to neighboring gluons in each Quark_line in each Col_str in each Col_amp, only intended for closed Quark_lines.

contract_Quark_line_gluons()

void ColorFull::Col_amp::contract_Quark_line_gluons

(

)

Function for contracting gluon indices within the Quark_lines. Checks only for ONE pair in each Quark_line.

contract_quarks()

void ColorFull::Col_amp::contract_quarks	(	const Col_amp &	Ca1,
		const Col_amp &	Ca2
	)

Function for contracting the (anti-)quarks in Ca1 with those in Ca2. The results is saved in this Col_amp.

empty()

bool ColorFull::Col_amp::empty ( ) const

inline

Is the col_amp empty?

erase()

void ColorFull::Col_amp::erase

(

int

i

)

Erases the Col_str at place i.

gluons_only()

bool ColorFull::Col_amp::gluons_only

(

)

const

Checks if the Col_amp only contains gluons, i.e., if all Quark_lines are closed.

longest_quark_line()

int ColorFull::Col_amp::longest_quark_line

(

)

const

Returns the length of the longest Quark_line in any Col_str.

n_gluon()

int ColorFull::Col_amp::n_gluon

(

)

const

Returns the number of gluons in the Col_amp as the number of gluons in the first Col_str. Note that the other Col_strs could have a different number of (contracted) gluons. (Intended for tree-level Col_ams with only one Col_str.)

n_gluon_check()

int ColorFull::Col_amp::n_gluon_check

(

)

const

Returns the number of gluons in the Col_amp after checking that each Col_str has the same number of gluons.

n_quark()

int ColorFull::Col_amp::n_quark

(

)

const

Returns the number of quarks in the Col_amp as the number of quarks in the first Col_str. Note that the other Col_strs could have a different number of (contracted) quarks. (Intended for tree-level Col_ams with only one Col_str.)

n_quark_check()

int ColorFull::Col_amp::n_quark_check

(

)

const

Returns the number of quarks in the Col_amp after checking that each Col_str has the same number of quarks.

normal_order()

void ColorFull::Col_amp::normal_order

(

)

Normal orders the individual col_strs and then orders the Col_strs using the order defined in the Col_str member function smallest.

normal_order_col_strs()

void ColorFull::Col_amp::normal_order_col_strs

(

)

Normal orders all col_strs in ca.

read_in_Col_amp()

void ColorFull::Col_amp::read_in_Col_amp

(

std::string

filename

)

Reads in the Col_amp to the member ca from the file filename. (This is for reading in an actual color amplitude, nothing is read in the the Polynomial member scalar.)

remove_0_rings()

void ColorFull::Col_amp::remove_0_rings

(

)

Remove quark_lines with no gluons, they are Nc if closed, and defined to be 1 if open.

remove_1_rings()

void ColorFull::Col_amp::remove_1_rings

(

)

Remove Col_strs with quark_lines with just 1 gluon, they are 0 as Tr[t^a]=0.

remove_empty_Col_strs()

void ColorFull::Col_amp::remove_empty_Col_strs

(

)

Removes empty Col_strs, an empty Col_str means that all indices have been contracted, so the Col_str is equal to its Polynomial, which is moved to the scalar part of the Col_amp.

simplify()

void ColorFull::Col_amp::simplify

(

)

Function for simplifying an amplitude, removes 0 and 1-rings, compares col_strs, removes Col_strs multiplying 0 and simplifies Polynomials of the individual Col_strs.

size()

uint ColorFull::Col_amp::size ( ) const

inline

The size of the col_amp ca.

write_out_Col_amp()

void ColorFull::Col_amp::write_out_Col_amp

(

std::string

filename

)

const

Function for writing out the Col_amp to a file with name filename.

Member Data Documentation

ca

col_amp ColorFull::Col_amp::ca

To actually contain the information about the Col_strs, ca=Cs1+Cs2+Cs3+... . Technically the ca is a vector of Col_strs, a col_amp.

Scalar

Polynomial ColorFull::Col_amp::Scalar

Scalar is Polynomial for collecting color factors appearing when the color structure has been fully contracted. The full color amplitude is Scalar + Cs1+Cs2+Cs3.... Scalar should thus be non-zero only if all indices can be contracted.

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The documentation for this class was generated from the following file:

• /data/Documents/eclipse/workspace/ColorFull/Col_amp.h