The LorentzSpinorBar class implements the storage of a barred LorentzSpinor. More...

#include <LorentzSpinorBar.h>

Inheritance diagram for ThePEG::Helicity::LorentzSpinorBar< Value >:

Public Member Functions
Standard constructors.
	LorentzSpinorBar (SpinorType t=SpinorType::unknown)
	Default zero constructor, optionally specifying t, the type.

	LorentzSpinorBar (complex< Value > a, complex< Value > b, complex< Value > c, complex< Value > d, SpinorType t=SpinorType::unknown)
	Constructor with complex numbers specifying the components, optionally specifying t, the type.

template<typename U >
	LorentzSpinorBar (const LorentzSpinorBar< U > &other)

Access the components.
complex< Value >	operator[] (int i) const
	Subscript operator to return spinor components.

complex< Value >	operator() (int i) const
	Subscript operator to return spinor components.

complex< Value > &	operator() (int i)
	Set components by index.

complex< Value > &	operator[] (int i)
	Set components by index.

complex< Value >	s1 () const
	Get first component.

complex< Value >	s2 () const
	Get second component.

complex< Value >	s3 () const
	Get third component.

complex< Value >	s4 () const
	Get fourth component.

void	setS1 (complex< Value > in)
	Set first component.

void	setS2 (complex< Value > in)
	Set second component.

void	setS3 (complex< Value > in)
	Set third component.

void	setS4 (complex< Value > in)
	Set fourth component.

Mathematical assignment operators.
template<typename ValueB >
LorentzSpinorBar< Value > &	operator+= (const LorentzSpinorBar< ValueB > &a)

template<typename ValueB >
LorentzSpinorBar< Value > &	operator-= (const LorentzSpinorBar< ValueB > &a)

LorentzSpinorBar< Value > &	operator*= (double a)

LorentzSpinorBar< Value > &	operator/= (double a)

Transformations.
LorentzSpinor< Value >	bar () const
	Return the barred spinor.

LorentzSpinorBar	conjugate () const
	Return the conjugated spinor \(u_c=C\bar{u}^T\).

LorentzSpinorBar &	boost (double, double, double)
	Standard Lorentz boost specifying the components of the beta vector.

LorentzSpinorBar &	boost (const Boost &)
	Standard Lorentz boost specifying the beta vector.

LorentzSpinorBar &	transform (const SpinHalfLorentzRotation &)
	General Lorentz transformation.

LorentzSpinorBar &	transform (const LorentzRotation &r)
	General Lorentz transformation.

Functions related to type.
SpinorType	Type () const
	Return the type of the spinor.

Functions to apply the projection operator
template<typename ValueB >
auto	projectionOperator (const LorentzVector< ValueB > &p, const ValueB &m) const -> LorentzSpinorBar< decltype(m *Value())>
	Apply \(p\!\!\!\!\!\not\,\,\,+m\).

LorentzSpinorBar	helicityProjectionOperator (const Complex &gL, const Complex &gR) const
	Apply \(g^LP_L+g^RP_R\).

Functions to apply the slash operator
SpinorType	_type
	Type of spinor.

std::array< complex< Value >, 4 >	_spin
	Storage of the components.

template<typename ValueB >
auto	slash (const LorentzVector< ValueB > &p) const -> LorentzSpinorBar< decltype(p.t() *Value())>
	Apply \(p\!\!\!\!\!\not\).

template<typename ValueB >
auto	slash (const LorentzVector< complex< ValueB > > &p) const -> LorentzSpinor< decltype(ValueB() *Value())>
	Apply \(p\!\!\!\!\!\not\).

Detailed Description

template<typename Value>
class ThePEG::Helicity::LorentzSpinorBar< Value >

The LorentzSpinorBar class implements the storage of a barred LorentzSpinor.

The design is based on that of the LorentzSpinor class where the details of the implemented are discussed in more detail.

See also: LorentzSpinor

Author: Peter Richardson

Definition at line 35 of file LorentzSpinorBar.h.

Constructor & Destructor Documentation

◆ LorentzSpinorBar() [1/3]

template<typename Value >

ThePEG::Helicity::LorentzSpinorBar< Value >::LorentzSpinorBar ( SpinorType t = SpinorType::unknown )

inline

Default zero constructor, optionally specifying t, the type.

Definition at line 43 of file LorentzSpinorBar.h.

◆ LorentzSpinorBar() [2/3]

template<typename Value >

ThePEG::Helicity::LorentzSpinorBar< Value >::LorentzSpinorBar	(	complex< Value >	a,
		complex< Value >	b,
		complex< Value >	c,
		complex< Value >	d,
		SpinorType	t = `SpinorType::unknown`
	)

inline

Constructor with complex numbers specifying the components, optionally specifying t, the type.

Definition at line 49 of file LorentzSpinorBar.h.

◆ LorentzSpinorBar() [3/3]

template<typename Value >

template<typename U >

ThePEG::Helicity::LorentzSpinorBar< Value >::LorentzSpinorBar ( const LorentzSpinorBar< U > & other )

inline

Definition at line 55 of file LorentzSpinorBar.h.

Member Function Documentation

◆ conjugate()

template<typename Value >

LorentzSpinorBar ThePEG::Helicity::LorentzSpinorBar< Value >::conjugate ( ) const

Return the conjugated spinor \(u_c=C\bar{u}^T\).

This operation transforms u-spinors to v-spinors and vice-versa and is required when dealing with majorana particles.

◆ helicityProjectionOperator()

template<typename Value >

LorentzSpinorBar ThePEG::Helicity::LorentzSpinorBar< Value >::helicityProjectionOperator	(	const Complex &	gL,
		const Complex &	gR
	)		const

inline

Apply \(g^LP_L+g^RP_R\).

Definition at line 236 of file LorentzSpinorBar.h.

References ThePEG::Helicity::LorentzSpinorBar< Value >::setS1(), ThePEG::Helicity::LorentzSpinorBar< Value >::setS2(), ThePEG::Helicity::LorentzSpinorBar< Value >::setS3(), and ThePEG::Helicity::LorentzSpinorBar< Value >::setS4().

◆ operator()() [1/2]

template<typename Value >

complex< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator() ( int i )

inline

Set components by index.

Definition at line 81 of file LorentzSpinorBar.h.

◆ operator()() [2/2]

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::operator() ( int i ) const

inline

Subscript operator to return spinor components.

Definition at line 73 of file LorentzSpinorBar.h.

◆ operator*=()

template<typename Value >

LorentzSpinorBar< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator*= ( double a )

inline

Definition at line 149 of file LorentzSpinorBar.h.

◆ operator+=()

template<typename Value >

template<typename ValueB >

LorentzSpinorBar< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator+= ( const LorentzSpinorBar< ValueB > & a )

inline

Definition at line 138 of file LorentzSpinorBar.h.

◆ operator-=()

template<typename Value >

template<typename ValueB >

LorentzSpinorBar< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator-= ( const LorentzSpinorBar< ValueB > & a )

inline

Definition at line 144 of file LorentzSpinorBar.h.

◆ operator/=()

template<typename Value >

LorentzSpinorBar< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator/= ( double a )

inline

Definition at line 154 of file LorentzSpinorBar.h.

◆ operator[]() [1/2]

template<typename Value >

complex< Value > & ThePEG::Helicity::LorentzSpinorBar< Value >::operator[] ( int i )

inline

Set components by index.

Definition at line 89 of file LorentzSpinorBar.h.

◆ operator[]() [2/2]

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::operator[] ( int i ) const

inline

Subscript operator to return spinor components.

Definition at line 65 of file LorentzSpinorBar.h.

◆ projectionOperator()

template<typename Value >

template<typename ValueB >

auto ThePEG::Helicity::LorentzSpinorBar< Value >::projectionOperator	(	const LorentzVector< ValueB > &	p,
		const ValueB &	m
	)		const -> LorentzSpinorBar<decltype(m*Value())>

inline

Apply \(p\!\!\!\!\!\not\,\,\,+m\).

Definition at line 214 of file LorentzSpinorBar.h.

◆ s1()

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::s1 ( ) const

inline

Get first component.

Definition at line 97 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::SpinorBarWaveFunction::s1().

◆ s2()

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::s2 ( ) const

inline

Get second component.

Definition at line 102 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::SpinorBarWaveFunction::s2().

◆ s3()

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::s3 ( ) const

inline

Get third component.

Definition at line 107 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::SpinorBarWaveFunction::s3().

◆ s4()

template<typename Value >

complex< Value > ThePEG::Helicity::LorentzSpinorBar< Value >::s4 ( ) const

inline

Get fourth component.

Definition at line 112 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::SpinorBarWaveFunction::s4().

◆ setS1()

template<typename Value >

void ThePEG::Helicity::LorentzSpinorBar< Value >::setS1 ( complex< Value > in )

inline

Set first component.

Definition at line 117 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::LorentzSpinorBar< Value >::helicityProjectionOperator().

◆ setS2()

template<typename Value >

void ThePEG::Helicity::LorentzSpinorBar< Value >::setS2 ( complex< Value > in )

inline

Set second component.

Definition at line 122 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::LorentzSpinorBar< Value >::helicityProjectionOperator().

◆ setS3()

template<typename Value >

void ThePEG::Helicity::LorentzSpinorBar< Value >::setS3 ( complex< Value > in )

inline

Set third component.

Definition at line 127 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::LorentzSpinorBar< Value >::helicityProjectionOperator().

◆ setS4()

template<typename Value >

void ThePEG::Helicity::LorentzSpinorBar< Value >::setS4 ( complex< Value > in )

inline

Set fourth component.

Definition at line 132 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::LorentzSpinorBar< Value >::helicityProjectionOperator().

◆ slash() [1/2]

template<typename Value >

template<typename ValueB >

auto ThePEG::Helicity::LorentzSpinorBar< Value >::slash ( const LorentzVector< complex< ValueB > > & p ) const -> LorentzSpinor<decltype(ValueB()*Value())>

inline

Apply \(p\!\!\!\!\!\not\).

Definition at line 272 of file LorentzSpinorBar.h.

◆ slash() [2/2]

template<typename Value >

template<typename ValueB >

auto ThePEG::Helicity::LorentzSpinorBar< Value >::slash ( const LorentzVector< ValueB > & p ) const -> LorentzSpinorBar<decltype(p.t()*Value())>

inline

Apply \(p\!\!\!\!\!\not\).

Definition at line 252 of file LorentzSpinorBar.h.

◆ transform()

template<typename Value >

LorentzSpinorBar & ThePEG::Helicity::LorentzSpinorBar< Value >::transform ( const LorentzRotation & r )

inline

General Lorentz transformation.

Definition at line 192 of file LorentzSpinorBar.h.

References ThePEG::LorentzRotation::half().

◆ Type()

template<typename Value >

SpinorType ThePEG::Helicity::LorentzSpinorBar< Value >::Type ( ) const

inline

Return the type of the spinor.

Definition at line 203 of file LorentzSpinorBar.h.

Referenced by ThePEG::Helicity::SpinorBarWaveFunction::dimensionedWf().

Member Data Documentation

◆ _spin

template<typename Value >

std::array<complex<Value>,4> ThePEG::Helicity::LorentzSpinorBar< Value >::_spin

private

Storage of the components.

Definition at line 298 of file LorentzSpinorBar.h.

◆ _type

template<typename Value >

SpinorType ThePEG::Helicity::LorentzSpinorBar< Value >::_type

private

Type of spinor.

Definition at line 293 of file LorentzSpinorBar.h.

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

LorentzSpinorBar.h

Public Member Functions

Functions to apply the slash operator

Detailed Description

Constructor & Destructor Documentation

◆ LorentzSpinorBar() [1/3]

◆ LorentzSpinorBar() [2/3]

◆ LorentzSpinorBar() [3/3]

Member Function Documentation

◆ conjugate()

◆ helicityProjectionOperator()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ projectionOperator()

◆ s1()

◆ s2()

◆ s3()

◆ s4()

◆ setS1()

◆ setS2()

◆ setS3()

◆ setS4()

◆ slash() [1/2]

◆ slash() [2/2]

◆ transform()

◆ Type()

Member Data Documentation

◆ _spin

◆ _type