HepLib::QGRAF Namespace Reference

namespace for generating Feynman diagrams or amplitudes. More...

Classes
class	Models
class	Process
	main interface to qgraf program More...

Functions
Index	DI (ex fn)
Index	LI (ex fn)
Index	TI (ex fn)
Index	FI (ex fn)
Index	CI (ex fn)
Index	AI (ex fn)
Index	RDI (ex fn)
Index	RLI (ex fn)
Index	RTI (ex fn)
Index	RFI (ex fn)
Index	RCI (ex fn)
Index	RAI (ex fn)
lst	TopoLines (const ex &amp)
	generate the topological lines for the amplitude
void	DrawPDF (const lst &amps, string fn, int nr, bool single_page)
	generate Feynman diagrams for the amplitudes, in PDF format
vector< lst >	ShrinkCut (ex amp, lst prop, int n)
	cut the amplitude, and return the connected parts, may have many different cuts
bool	HasLoop (ex amp, lst prop)
	check a amplitude has a loop w.r.t. propapagtor
ex	QuarkPropagator (const ex &e, const ex &m)
	Propagator for quark.
ex	LeptonPropagator (const ex &e, const ex &m)
	Propagator for lepton.
ex	GluonPropagator (const ex &e, const ex &xi)
	Propagator for gluon.
ex	GluonGhostPropagator (const ex &e, const ex &xi, const ex &eta_G)
	Propagator for gluon ghost.
ex	AZWPropagator (const ex &e, const ex &m, const ex &xi)
	Propagator for A/Z/W boson.
ex	AZWGhostPropagator (const ex &e, const ex &m, const ex &xi, const ex &eta_G)
	Propagator for A/Z/W ghost.
ex	ScalarPropagator (const ex &e, const ex &m, const ex &xi)
	Propagator for scalar.
ex	QuarkGluonVertex (const ex &e, const ex &eta_s)
	q-qbar-g vertex
ex	Gluon3Vertex (const ex &e, const ex &eta_s)
	g-g-g vertex
ex	Gluon4Vertex (const ex &e, const ex &eta_s)
	g-g-g-g vertex
ex	GhostGluonVertex (const ex &e, const ex &eta_s, const ex &eta_G)
	ghbar-gh-g vertex
ex	QuarkAVertex (const ex &e, const ex &eq, const ex &eta_e)
	qbar-q-A vertex
ex	LeptonAVertex (const ex &e, const ex &eq, const ex &eta_e)
	l-lbar-A vertex
ex	IndexL2R (ex e, bool all)
	Change Index from left to right, only affect li/di/ci/ti, external index start with dim/lim/cim/tim will also be changed if all=true.
ex	IndexCC (ex e, bool all)
ex	GluonSumL (int qi, bool color)
	polarization sum for gluon
ex	GluonSumR (int qi, bool color)
	polarization sum for gluon
ex	QuarkSumL (int qi, ex p, ex m, bool color)
	polarization sum for quark
ex	QuarkSumR (int qi, ex p, ex m, bool color)
	polarization sum for quark
ex	AntiQuarkSumL (int qi, ex p, ex m, bool color)
	polarization sum for anti-quark
ex	AntiQuarkSumR (int qi, ex p, ex m, bool color)
	polarization sum for anti-quark
ex	GhostSumL (int qi)
	polarization sum for ghost
ex	GhostSumR (int qi)
	polarization sum for ghost
ex	AntiGhostSumL (int qi)
	polarization sum for anti-ghost, note that we will add extra - here
ex	AntiGhostSumR (int qi)
	polarization sum for anti-ghost, note that we will add extra - here
ex	J1SumL (int qi, ex p)
	polarization sum for total angular momentum
ex	J1SumTr (int si, const ex &p, const ex &n)
ex	J1SumR (int qi, ex p)
	polarization sum for total angular momentum
ex	GluonSum (int qi, bool color=true)
ex	QuarkSum (int qi, ex p, ex m, bool color=true)
ex	AntiQuarkSum (int qi, ex p, ex m, bool color=true)
ex	GhostSum (int qi)
ex	AntiGhostSum (int qi)
ex	J1Sum (int qi, ex p)

Variables
map< ex, string, ex_is_less >	LineTeX
map< ex, string, ex_is_less >	VerTeX
map< ex, string, ex_is_less >	InOutTeX

Detailed Description

namespace for generating Feynman diagrams or amplitudes.

Function Documentation

AI()

Index HepLib::QGRAF::AI

(

ex

fn

)

Definition at line 50 of file QGRAF.cpp.

AntiGhostSum()

ex HepLib::QGRAF::AntiGhostSum ( int  qi )

inline

Definition at line 157 of file QGRAF.h.

AntiGhostSumL()

ex HepLib::QGRAF::AntiGhostSumL

(

int

qi

)

polarization sum for anti-ghost, note that we will add extra - here

Parameters

qi	anti-ghost qgraf index

Returns

g^{i ir} delta^{i ir}

Definition at line 771 of file QGRAF.cpp.

AntiGhostSumR()

ex HepLib::QGRAF::AntiGhostSumR

(

int

qi

)

polarization sum for anti-ghost, note that we will add extra - here

Parameters

qi	anti-ghost qgraf index

Returns

g^{i ir} delta^{i ir}

Definition at line 780 of file QGRAF.cpp.

AntiQuarkSum()

ex HepLib::QGRAF::AntiQuarkSum ( int  qi, ex  p, ex  m, bool  color = true  )

inline

Definition at line 155 of file QGRAF.h.

AntiQuarkSumL()

ex HepLib::QGRAF::AntiQuarkSumL	(	int	qi,
		ex	p,
		ex	m,
		bool	color
	)

polarization sum for anti-quark

Parameters

qi	anti-quark qgraf index
p	anti-quark momentum vector
m	anti-quark mass
color	true for QCD, false for QED

Returns

anti-Quark summation

Definition at line 730 of file QGRAF.cpp.

AntiQuarkSumR()

ex HepLib::QGRAF::AntiQuarkSumR	(	int	qi,
		ex	p,
		ex	m,
		bool	color
	)

polarization sum for anti-quark

Parameters

qi	anti-quark qgraf index
p	anti-quark momentum vector
m	anti-quark mass
color	true for QCD, false for QED

Returns

anti-Quark summation

Definition at line 743 of file QGRAF.cpp.

AZWGhostPropagator()

ex HepLib::QGRAF::AZWGhostPropagator	(	const ex &	e,
		const ex &	m,
		const ex &	xi,
		const ex &	eta_G
	)

Propagator for A/Z/W ghost.

Parameters

e	expression with head of Propagator
m	mass for A/Z/W -> 0/MZ/MW
xi	R-xi gauge parameter

Returns

the A/Z/W ghost propagator @ R-xi gauge

Definition at line 531 of file QGRAF.cpp.

AZWPropagator()

ex HepLib::QGRAF::AZWPropagator	(	const ex &	e,
		const ex &	m,
		const ex &	xi
	)

Propagator for A/Z/W boson.

Parameters

e	expression with head of Propagator
m	the boson mass, 0/MZ/MW
xi	R-xi gauge parameter

Returns

the A/Z/W boson propagator

Definition at line 517 of file QGRAF.cpp.

CI()

Index HepLib::QGRAF::CI

(

ex

fn

)

Definition at line 49 of file QGRAF.cpp.

DI()

Index HepLib::QGRAF::DI

(

ex

fn

)

Definition at line 45 of file QGRAF.cpp.

DrawPDF()

void HepLib::QGRAF::DrawPDF	(	const lst &	amps,
		string	fn,
		int	nr,
		bool	single_page
	)

generate Feynman diagrams for the amplitudes, in PDF format

Parameters

amps	refers to Amplitudes
fn	the filename of the PDF
single_page	output as single page or multiple pages

Returns

nonthing, check pdf file

Definition at line 169 of file QGRAF.cpp.

FI()

Index HepLib::QGRAF::FI

(

ex

fn

)

Definition at line 48 of file QGRAF.cpp.

GhostGluonVertex()

ex HepLib::QGRAF::GhostGluonVertex	(	const ex &	e,
		const ex &	eta_s,
		const ex &	eta_G
	)

ghbar-gh-g vertex

Parameters

e	expression with head of Vertex
eta_s	+1/-1 the sign convention
eta_G	+1/-1 the sign convention

Returns

the ghbar-gh-g vertex

Definition at line 610 of file QGRAF.cpp.

GhostSum()

ex HepLib::QGRAF::GhostSum ( int  qi )

inline

Definition at line 156 of file QGRAF.h.

GhostSumL()

ex HepLib::QGRAF::GhostSumL

(

int

qi

)

polarization sum for ghost

Parameters

qi	ghost qgraf index

Returns

g^{i ir} delta^{i ir}

Definition at line 753 of file QGRAF.cpp.

GhostSumR()

ex HepLib::QGRAF::GhostSumR

(

int

qi

)

polarization sum for ghost

Parameters

qi	ghost qgraf index

Returns

g^{i ir} delta^{i ir}

Definition at line 762 of file QGRAF.cpp.

Gluon3Vertex()

ex HepLib::QGRAF::Gluon3Vertex	(	const ex &	e,
		const ex &	eta_s
	)

g-g-g vertex

Parameters

e	expression with head of Vertex
eta_s	+1/-1 the sign convention

Returns

the g-g-g vertex

Definition at line 571 of file QGRAF.cpp.

Gluon4Vertex()

ex HepLib::QGRAF::Gluon4Vertex	(	const ex &	e,
		const ex &	eta_s
	)

g-g-g-g vertex

Parameters

e	expression with head of Vertex
eta_s	+1/-1 the sign convention

Returns

the g-g-g-g vertex

Definition at line 591 of file QGRAF.cpp.

GluonGhostPropagator()

ex HepLib::QGRAF::GluonGhostPropagator	(	const ex &	e,
		const ex &	xi,
		const ex &	eta_G
	)

Propagator for gluon ghost.

Parameters

e	expression with head of Propagator
xi	the result wil not depend on xi, since null gluon mass

Returns

the gluon ghost propagator

Definition at line 503 of file QGRAF.cpp.

GluonPropagator()

ex HepLib::QGRAF::GluonPropagator	(	const ex &	e,
		const ex &	xi
	)

Propagator for gluon.

Parameters

e	expression with head of Propagator
xi	R-xi gauge parameter

Returns

the gloun propagator for R-xi gauge

Definition at line 490 of file QGRAF.cpp.

GluonSum()

ex HepLib::QGRAF::GluonSum ( int  qi, bool  color = true  )

inline

Definition at line 153 of file QGRAF.h.

GluonSumL()

ex HepLib::QGRAF::GluonSumL	(	int	qi,
		bool	color
	)

polarization sum for gluon

Parameters

qi	gluon qgraf index
color	true for QCD, false for QED

Returns

g^{i ir} delta^{i ir}

Definition at line 680 of file QGRAF.cpp.

GluonSumR()

ex HepLib::QGRAF::GluonSumR	(	int	qi,
		bool	color
	)

polarization sum for gluon

Parameters

qi	gluon qgraf index
color	true for QCD, false for QED

Returns

g^{i ir} delta^{i ir}

Definition at line 691 of file QGRAF.cpp.

HasLoop()

bool HepLib::QGRAF::HasLoop	(	ex	amp,
		lst	prop
	)

check a amplitude has a loop w.r.t. propapagtor

Parameters

amp	one of the Amplitudes
prop	the line type in the loop

Returns

true if the corresponding loop exsits

Definition at line 427 of file QGRAF.cpp.

IndexCC()

ex HepLib::QGRAF::IndexCC	(	ex	e,
		bool	all
	)

Definition at line 670 of file QGRAF.cpp.

IndexL2R()

ex HepLib::QGRAF::IndexL2R	(	ex	e,
		bool	all
	)

Change Index from left to right, only affect li/di/ci/ti, external index start with dim/lim/cim/tim will also be changed if all=true.

Parameters

e	input expression
all	if true external index will also be changed

Returns

Index changed

Definition at line 652 of file QGRAF.cpp.

J1Sum()

ex HepLib::QGRAF::J1Sum ( int  qi, ex  p  )

inline

Definition at line 158 of file QGRAF.h.

J1SumL()

ex HepLib::QGRAF::J1SumL	(	int	qi,
		ex	p
	)

polarization sum for total angular momentum

Parameters

qi	qgraf index
p	the total momentum

Returns

-g^{qi, rqi} + p^qi p^rqi/p.p

Definition at line 790 of file QGRAF.cpp.

J1SumR()

ex HepLib::QGRAF::J1SumR	(	int	qi,
		ex	p
	)

polarization sum for total angular momentum

Parameters

qi	qgraf index
p	the momentum

Returns

-g^{qi, rqi} + p^qi p^rqi/p.p

Definition at line 806 of file QGRAF.cpp.

J1SumTr()

ex HepLib::QGRAF::J1SumTr	(	int	si,
		const ex &	p,
		const ex &	n
	)

Definition at line 795 of file QGRAF.cpp.

LeptonAVertex()

ex HepLib::QGRAF::LeptonAVertex	(	const ex &	e,
		const ex &	eq,
		const ex &	eta_e
	)

l-lbar-A vertex

Parameters

e	expression with head of Vertex
eq	the charge
eta_e	+1/-1 the sign convention

Returns

the q-qbar-A vertex

Definition at line 639 of file QGRAF.cpp.

LeptonPropagator()

ex HepLib::QGRAF::LeptonPropagator	(	const ex &	e,
		const ex &	m
	)

Propagator for lepton.

Parameters

e	expression with head of Propagator
m	the quark mass

Returns

the lepton propagator

Definition at line 477 of file QGRAF.cpp.

LI()

Index HepLib::QGRAF::LI

(

ex

fn

)

Definition at line 46 of file QGRAF.cpp.

QuarkAVertex()

ex HepLib::QGRAF::QuarkAVertex	(	const ex &	e,
		const ex &	eq,
		const ex &	eta_e
	)

qbar-q-A vertex

Parameters

e	expression with head of Vertex
eq	the charge
eta_e	+1/-1 the sign convention

Returns

the q-qbar-A vertex

Definition at line 625 of file QGRAF.cpp.

QuarkGluonVertex()

ex HepLib::QGRAF::QuarkGluonVertex	(	const ex &	e,
		const ex &	eta_s
	)

q-qbar-g vertex

Parameters

e	expression with head of Vertex
eta_s	+1/-1 the sign convention

Returns

the q-qbar-g vertex

Definition at line 558 of file QGRAF.cpp.

QuarkPropagator()

ex HepLib::QGRAF::QuarkPropagator	(	const ex &	e,
		const ex &	m
	)

Propagator for quark.

Parameters

e	expression with head of Propagator
m	the quark mass

Returns

the quark propagator

Definition at line 464 of file QGRAF.cpp.

QuarkSum()

ex HepLib::QGRAF::QuarkSum ( int  qi, ex  p, ex  m, bool  color = true  )

inline

Definition at line 154 of file QGRAF.h.

QuarkSumL()

ex HepLib::QGRAF::QuarkSumL	(	int	qi,
		ex	p,
		ex	m,
		bool	color
	)

polarization sum for quark

Parameters

qi	quark qgraf index
p	anti-quark momentum vector
m	anti-quark mass
color	true for QCD, false for QED

Returns

Quark summation

Definition at line 704 of file QGRAF.cpp.

QuarkSumR()

ex HepLib::QGRAF::QuarkSumR	(	int	qi,
		ex	p,
		ex	m,
		bool	color
	)

polarization sum for quark

Parameters

qi	quark qgraf index
p	anti-quark momentum vector
m	anti-quark mass
color	true for QCD, false for QED

Returns

Quark summation

Definition at line 717 of file QGRAF.cpp.

RAI()

Index HepLib::QGRAF::RAI

(

ex

fn

)

Definition at line 56 of file QGRAF.cpp.

RCI()

Index HepLib::QGRAF::RCI

(

ex

fn

)

Definition at line 55 of file QGRAF.cpp.

RDI()

Index HepLib::QGRAF::RDI

(

ex

fn

)

Definition at line 51 of file QGRAF.cpp.

RFI()

Index HepLib::QGRAF::RFI

(

ex

fn

)

Definition at line 54 of file QGRAF.cpp.

RLI()

Index HepLib::QGRAF::RLI

(

ex

fn

)

Definition at line 52 of file QGRAF.cpp.

RTI()

Index HepLib::QGRAF::RTI

(

ex

fn

)

Definition at line 53 of file QGRAF.cpp.

ScalarPropagator()

ex HepLib::QGRAF::ScalarPropagator	(	const ex &	e,
		const ex &	m,
		const ex &	xi
	)

Propagator for scalar.

Parameters

e	expression with head of Propagator
m	mass for the particle
xi	R-xi gauge parameter, xi=1 for higgs

Returns

the scalar propagator

Definition at line 545 of file QGRAF.cpp.

ShrinkCut()

vector< lst > HepLib::QGRAF::ShrinkCut	(	ex	amp,
		lst	prop,
		int	n
	)

cut the amplitude, and return the connected parts, may have many different cuts

Parameters

amp	one of the Amplitudes
prop	the line type to be cutted, can be lst{g,g} or lst{ lst{g,g}, lst{A,A} }
n	the number of lines to be cutted

Returns

vector of lst, each element in the vector, is actually a lst of lst, different connectted parts

Definition at line 339 of file QGRAF.cpp.

TI()

Index HepLib::QGRAF::TI

(

ex

fn

)

Definition at line 47 of file QGRAF.cpp.

TopoLines()

lst HepLib::QGRAF::TopoLines

(

const ex &

amp

)

generate the topological lines for the amplitude

Parameters

amp	the element from Amplitudes

Returns

topoligical lines, {{vid1,fs1}, {vid2,fs2}, lst{f1,f2}/lst{exf},mom}

Definition at line 123 of file QGRAF.cpp.

Variable Documentation

InOutTeX

map< ex, string, ex_is_less > HepLib::QGRAF::InOutTeX

extern

Definition at line 187 of file Init.cpp.

LineTeX

map< ex, string, ex_is_less > HepLib::QGRAF::LineTeX

extern

Definition at line 185 of file Init.cpp.

VerTeX

map< ex, string, ex_is_less > HepLib::QGRAF::VerTeX

extern

Definition at line 186 of file Init.cpp.