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ThePEG  2.1.5
ThePEG::Helicity::LorentzSpinorBar< Value > Class Template Reference

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.
 
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.
 
Transformations.
LorentzSpinor< Value > bar () const
 Return the barred spinor.
 
LorentzSpinorBar conjugate () const
 Return the conjugated spinor $u_c=C\bar{u}^T$. More...
 
LorentzSpinorBarboost (double, double, double)
 Standard Lorentz boost specifying the components of the beta vector.
 
LorentzSpinorBarboost (const Boost &)
 Standard Lorentz boost specifying the beta vector.
 
LorentzSpinorBartransform (const SpinHalfLorentzRotation &)
 General Lorentz transformation.
 
LorentzSpinorBartransform (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 $g^LP_L+g^RP_R$.
 

Private Attributes

SpinorType _type
 Type of spinor.
 
std::array< complex< Value >, 4 > _spin
 Storage of the components.
 

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.

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.

Referenced by ThePEG::Helicity::LorentzSpinorBar< double >::setS4().


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