GammaMatrix Class Reference

#include <HelicityBasics.h>

Public Member Functions
	GammaMatrix ()
	Constructors and destructor.
	GammaMatrix (int mu)
complex &	operator() (int I, int J)
	Access an element of the matrix.
GammaMatrix	operator* (complex s)
	GammaMatrix * Scalar.
GammaMatrix	operator- (complex s)
	Gamma5 - I * Scalar.
GammaMatrix	operator+ (complex s)
	Gamma5 + I * Scalar.

Protected Attributes
complex	val [4]
int	index [4]
complex	COMPLEXZERO
	Need to define complex 0 as a variable for operator() to work.

Friends
Wave4	operator* (Wave4 w, GammaMatrix g)
	Wave4 * GammaMatrix. More...
GammaMatrix	operator* (complex s, GammaMatrix g)
	Scalar * GammaMatrix.
GammaMatrix	operator- (complex s, GammaMatrix g)
	I * Scalar - Gamma5.
GammaMatrix	operator+ (complex s, GammaMatrix g)
	I * Scalar + Gamma5.
ostream &	operator<< (ostream &os, GammaMatrix g)
	<< GammaMatrix.

Detailed Description

The GammaMatrix class is a special sparse matrix class used to write helicity matrix elements in conjuction with the Wave4 class. Note that only left to right multplication of Wave4 vectors with the GammaMatrix class is allowed. Additionally, subtracting a scalar from a GammaMatrix (or subtracting a GammaMatrix from a scalar) subtracts the scalar from each non-zero element of the GammaMatrix. This is designed specifically with the (1 - gamma^5) structure of matrix elements in mind.

Constructor & Destructor Documentation

GammaMatrix

(

int

mu

)

Constructor for the GammaMatrix class. Gamma(1) through Gamma(3) give the corresponding gamma matrices using the Weyl basis as outlined in the HELAS paper. Gamma(4) gives the +— metric, while Gamma(5) gives the gamma^5 matrix.

Friends And Related Function Documentation

Wave4 operator* ( Wave4  w, GammaMatrix  g  )

friend

Wave4 * GammaMatrix.

Wave4 * GammaMatrix.

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

• include/Pythia8/HelicityBasics.h
• src/HelicityBasics.cc