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

#include <wilsongaugeaction.h>

Inheritance diagram for WilsonGaugeAction:

Collaboration diagram for WilsonGaugeAction:

Public Member Functions
	WilsonGaugeAction ()

	~WilsonGaugeAction ()

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)

void	updateNuIndex (int nu)

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 LuscherAction 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

◆ WilsonGaugeAction()

WilsonGaugeAction::WilsonGaugeAction ( )

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◆ ~WilsonGaugeAction()

WilsonGaugeAction::~WilsonGaugeAction ( )

Member Function Documentation

◆ computeStaple()

void WilsonGaugeAction::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 > WilsonGaugeAction::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, \(\mu\).

Reimplemented from Action.

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◆ getDeltaAction()

double WilsonGaugeAction::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 WilsonGaugeAction::updateMuIndex ( int mu )

inline

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◆ updateNuIndex()

void WilsonGaugeAction::updateNuIndex ( int nu )

inline

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

GLAC/actions/wilsongaugeaction.h
GLAC/actions/wilsongaugeaction.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ WilsonGaugeAction()

◆ ~WilsonGaugeAction()

Member Function Documentation

◆ computeStaple()

◆ getActionDerivative()

◆ getDeltaAction()

◆ updateMuIndex()

◆ updateNuIndex()