An implementation of the Wilson gauge action,. More...

#include <luscheraction.h>

Inheritance diagram for LuscherAction:

Collaboration diagram for LuscherAction:

Public Member Functions
	LuscherAction ()

	~LuscherAction ()

double	getDeltaAction (SU3 U, SU3 UPrime)
	getDeltaAction computes the change in action. Staple must have already have been calculated. More...

void	computeStaple (Lattice< SU3 > *lattice, unsigned int i, unsigned int j, unsigned int k, unsigned int l, int mu)
	computeStaple computes the staple at given poisition. More...

Lattice< SU3 >	getActionDerivative (Lattice< SU3 > *lattice, int mu)
	getActionDerivative, computes the derivative of the lattice in given direction. More...

void	updateMuIndex (int mu)
	updateMuIndex updates the m_muIndex based on mu. More...

void	updateNuIndex (int nu)
	updateNuIndex updates the m_nuIndex based on nu. More...

Public Member Functions inherited from Action
	Action ()
	Action base constructor. More...

virtual	~Action ()
	~Action destructor. Nothing to de-allocate in base class More...

Additional Inherited Members
Protected Attributes inherited from Action
std::vector< unsigned int >	m_N
	m_N Lattice dimension array More...

std::vector< int >	m_position
	Array for holding the position in lattice. More...

Detailed Description

An implementation of the Wilson gauge action,.

\begin{eqnarray*} S_G[U] = \frac{\beta}{3} \sum_{n\in\Lambda} \sum_{\mu<\nu} \mathrm{Re} \mathrm{tr} \big[ 1 - P_{\mu\nu}(n) \big]. \end{eqnarray*}

The different between this and WilsonGaugeAction is that in the getActionDerivative we perform an explicit calculation of the derivative in terms of its \(\mathrm{SU}(3)\) generator.

Author: Mathias M. Vege

Version: 1.0

Date: 2017-2019

Copyright: MIT Licence

Constructor & Destructor Documentation

◆ LuscherAction()

LuscherAction::LuscherAction ( )

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◆ ~LuscherAction()

LuscherAction::~LuscherAction ( )

Member Function Documentation

◆ computeStaple()

void LuscherAction::computeStaple	(	Lattice< SU3 > *	lattice,
		unsigned int	i,
		unsigned int	j,
		unsigned int	k,
		unsigned int	l,
		int	mu
	)

virtual

computeStaple computes the staple at given poisition.

Parameters

lattice	a pointer of four lattice objects, one for each lorentz index.
i	spatial \(x\) position.
j	spatial \(y\) position.
k	spatial \(z\) position.
l	temporal \(t\) position.
mu	lorentz index, \(\mu\).

Returns: Returns change in action \(\Delta S\)

Reimplemented from Action.

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◆ getActionDerivative()

Lattice< SU3 > LuscherAction::getActionDerivative	(	Lattice< SU3 > *	lattice,
		int	mu
	)

virtual

getActionDerivative, computes the derivative of the lattice in given direction.

Parameters

lattice	a pointer of four lattice objects, one for each lorentz index.
mu	lorentz index, \(\mu\).

A slightly modified version of the Action derivative Multiply the product of this with each of the 8 \(T^a\) generators Take trace, real, and the multiply with \(\beta/3\). Multiply with 8 generators \(T^a\) again, sum and return matrix Can multiply the return matrix exactly instead of doing the 8 matrix multiplications and sums ect. See python script gellmann_matrix_multiplication.py for more details.

Reimplemented from Action.

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◆ getDeltaAction()

double LuscherAction::getDeltaAction	(	SU3	U,
		SU3	UPrime
	)

virtual

getDeltaAction computes the change in action. Staple must have already have been calculated.

Parameters

U	Old link
UPrime	Updated link

Reimplemented from Action.

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◆ updateMuIndex()

void LuscherAction::updateMuIndex ( int mu )

inline

updateMuIndex updates the m_muIndex based on mu.

Parameters

mu	direction which will be set to 1. All others set to zero.

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◆ updateNuIndex()

void LuscherAction::updateNuIndex ( int nu )

inline

updateNuIndex updates the m_nuIndex based on nu.

Parameters

nu	direction which will be set to 1. All others set to zero.

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

GLAC/actions/luscheraction.h
GLAC/actions/luscheraction.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LuscherAction()

◆ ~LuscherAction()

Member Function Documentation

◆ computeStaple()

◆ getActionDerivative()

◆ getDeltaAction()

◆ updateMuIndex()

◆ updateNuIndex()