Main Page | Modules | Namespace List | Class Hierarchy | Alphabetical List | Class List | Directories | File List | Namespace Members | Class Members | File Members | Related Pages

cps::WilsonMatrix Class Reference

#include <wilson_matrix.h>

List of all members.

Public Member Functions

 WilsonMatrix ()
 WilsonMatrix (const WilsonMatrix &rhs)
 WilsonMatrix (const wilson_matrix &rhs)
 WilsonMatrix (const Float &rhs)
 WilsonMatrix (const Rcomplex &rhs)
 WilsonMatrix (int sink_spin, int sink_color, const wilson_vector &)
 WilsonMatrix (int sink_spin, int sink_color, int source_spin, int source_color, const Rcomplex &)
void Element (int sink_spin, int sink_color, int source_spin, int source_color, const Rcomplex &z)
Complex & operator() (int s1, int c1, int s2, int c2)
Complex operator() (int s1, int c1, int s2, int c2) const
void hconj ()
 hermitean conjugate the WilsonMatrix
WilsonMatrix & gl (int dir)
 mult the prop by gamma_dir on the left
WilsonMatrix & gr (int dir)
 mult the prop by gamma_dir on the left
WilsonMatrix & sigmaR (int mu, int nu)
 right mult by sigma_mu_nu
WilsonMatrix conj_cp ()
 make a copy of the hermitean conjugate
wilson_vector & sol (int source_spin, int source_color)
 get a sol. vector
void load_vec (int sink_spin, int sink_color, const wilson_vector &)
void load_row (int source_spin, int source_color, const wilson_vector &)
Rcomplex Trace ()
const wilson_matrix & wmat () const
WilsonMatrix & LeftTimesEqual (const WilsonMatrix &rhs)
WilsonMatrix & PParProjectSink ()
 Projects positive parity on the sink.
WilsonMatrix & NParProjectSink ()
WilsonMatrix & PParProjectSource ()
 Projects positive parity on the source.
WilsonMatrix & SinkChiralToDirac ()
 sink chiral to dirac rotation
WilsonMatrix & operator= (const WilsonMatrix &rhs)
WilsonMatrix & operator= (const wilson_matrix &rhs)
WilsonMatrix & operator= (const Float &rhs)
WilsonMatrix & operator+= (const WilsonMatrix &rhs)
WilsonMatrix & operator-= (const WilsonMatrix &rhs)
WilsonMatrix & operator *= (const WilsonMatrix &rhs)
WilsonMatrix & operator *= (const Float &rhs)
WilsonMatrix & operator *= (const Rcomplex &rhs)
WilsonMatrix & UMultSource (Matrix &U, WilsonMatrix &W)
WilsonMatrix & UdagMultSource (Matrix &U, WilsonMatrix &W)
WilsonMatrix & AddMult (const Rcomplex &fact, const WilsonMatrix &x)
WilsonMatrix & ccl (int dir)
WilsonMatrix & ccr (int dir)
WilsonMatrix & diq (const WilsonMatrix &rhs)
WilsonMatrix & joint (const WilsonMatrix &rhs)

Friends

Rcomplex Trace (const WilsonMatrix &p1, const WilsonMatrix &p2)
 Spin and Color trace of a 2 WilsonMatrices.

Detailed Description

The WilsonMatrix class is used to build quark propagators.

The gamma matrices used are in the Chiral basis:

\[ \gamma_0 = \gamma_x = \left(\begin{tabular}{rrrr} 0 & 0 & 0 & i \\ 0 & 0 & i & 0 \\ 0 & -i & 0 & 0 \\ -i & 0 & 0 & 0 \end{tabular}\right),\;\;\;\; \gamma_1 = \gamma_y = \left(\begin{tabular}{rrrr} 0 & 0 & 0 & -1 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ -1 & 0 & 0 & 0 \end{tabular}\right) \]

\[ \gamma_2 = \gamma_z = \left(\begin{tabular}{rrrr} 0 & 0 & i & 0 \\ 0 & 0 & 0 & -i \\ -i & 0 & 0 & 0 \\ 0 & i & 0 & 0 \end{tabular}\right), \;\;\;\; \gamma_3 = \gamma_t = \left(\begin{tabular}{rrrr} 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \end{tabular}\right) \]

\[ \gamma_5 = \left(\begin{tabular}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end{tabular}\right) \]

Definition at line 240 of file wilson_matrix.h.

Constructor & Destructor Documentation

cps::WilsonMatrix::WilsonMatrix (   ) 
 

Definition at line 28 of file WilsonMatrix.C.

cps::WilsonMatrix::WilsonMatrix (  const WilsonMatrix &  rhs  ) 
 

Definition at line 34 of file WilsonMatrix.C.

References p.

cps::WilsonMatrix::WilsonMatrix (  const wilson_matrix &  rhs  ) 
 

Definition at line 31 of file WilsonMatrix.C.

cps::WilsonMatrix::WilsonMatrix (  const Float &  rhs  ) 
 

Definition at line 61 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::Rcomplex::imag(), and cps::Rcomplex::real().

cps::WilsonMatrix::WilsonMatrix (  const Rcomplex &  rhs  ) 
 

Definition at line 71 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

cps::WilsonMatrix::WilsonMatrix (  int  sink_spin,
int  sink_color,
const wilson_vector & 
) 
 

Definition at line 55 of file WilsonMatrix.C.

References cps::color_wilson_vector::c, cps::wilson_matrix::d, and cps::wilson_vector.

cps::WilsonMatrix::WilsonMatrix (  int  sink_spin,
int  sink_color,
int  source_spin,
int  source_color,
const Rcomplex & 
) 
 

Definition at line 38 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

Member Function Documentation

WilsonMatrix & cps::WilsonMatrix::AddMult (  const Rcomplex &  fact,
const WilsonMatrix &  x
) 
 

Logically equivalent to += fact * x , but does not require a temporary WilsonMtarix

Definition at line 337 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and p.

WilsonMatrix & cps::WilsonMatrix::ccl (  int  dir  ) 
 

Definition at line 806 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, TIMESMINUSONE, and TIMESPLUSONE.

Referenced by cps::QPropWSeqProtUSrc::SetSource(), and cps::QPropWSeqProtDSrc::SetSource().

WilsonMatrix & cps::WilsonMatrix::ccr (  int  dir  ) 
 

Definition at line 856 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, TIMESMINUSONE, and TIMESPLUSONE.

Referenced by cps::QPropWSeqProtUSrc::SetSource(), and cps::QPropWSeqProtDSrc::SetSource().

WilsonMatrix cps::WilsonMatrix::conj_cp (   ) 
 

make a copy of the hermitean conjugate

Definition at line 131 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::conj(), cps::WilsonVector::d, cps::wilson_matrix::d, and p.

WilsonMatrix & cps::WilsonMatrix::diq (  const WilsonMatrix &  rhs  ) 
 

Definition at line 910 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::Verbose::Func(), cps::k, cps::VRB, and wmat().

void cps::WilsonMatrix::Element (  int  sink_spin,
int  sink_color,
int  source_spin,
int  source_color,
const Rcomplex &  z
) 
 

Definition at line 47 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

WilsonMatrix & cps::WilsonMatrix::gl (  int  dir  ) 
 

mult the prop by gamma_dir on the left

Left Multiplication by Dirac gamma's 

 Chiral basis
 gamma(XUP)    gamma(YUP)    gamma(ZUP)    gamma(TUP)    gamma(FIVE)
 0  0  0  i    0  0  0 -1    0  0  i  0    0  0  1  0    1  0  0  0
 0  0  i  0    0  0  1  0    0  0  0 -i    0  0  0  1    0  1  0  0
 0 -i  0  0    0  1  0  0   -i  0  0  0    1  0  0  0    0  0 -1  0
-i  0  0  0   -1  0  0  0    0  i  0  0    0  1  0  0    0  0  0 -1

Definition at line 522 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, TIMESMINUSI, TIMESMINUSONE, TIMESPLUSI, and TIMESPLUSONE.

Referenced by cps::Meson::calcMeson(), cps::Nuc3ptCons::InsertOp(), NParProjectSink(), PParProjectSink(), and cps::QPropWSeqMesSrc::SetSource().

WilsonMatrix & cps::WilsonMatrix::gr (  int  dir  ) 
 

mult the prop by gamma_dir on the left

Right Multiplication by Dirac gamma's

 Chiral basis
 gamma(XUP)    gamma(YUP)    gamma(ZUP)    gamma(TUP)    gamma(FIVE)
 0  0  0  i    0  0  0 -1    0  0  i  0    0  0  1  0    1  0  0  0
 0  0  i  0    0  0  1  0    0  0  0 -i    0  0  0  1    0  1  0  0
 0 -i  0  0    0  1  0  0   -i  0  0  0    1  0  0  0    0  0 -1  0
-i  0  0  0   -1  0  0  0    0  i  0  0    0  1  0  0    0  0  0 -1

Definition at line 609 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, TIMESMINUSI, TIMESMINUSONE, TIMESPLUSI, and TIMESPLUSONE.

Referenced by cps::Meson::calcMeson(), cps::Nuc3ptStru::InsertOp(), and PParProjectSource().

void cps::WilsonMatrix::hconj (   ) 
 

hermitean conjugate the WilsonMatrix

Hermitian conjugate of the propagator

\[ P_{s_1,c_1;s_2,c_2} = P^*_{s_2,c_2;s_1,c_1}\]

Definition at line 116 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::conj(), cps::WilsonVector::d, and cps::wilson_matrix::d.

Referenced by cps::Meson::calcMeson(), and cps::Meson::calcMidPointPion().

WilsonMatrix & cps::WilsonMatrix::joint (  const WilsonMatrix &  rhs  ) 
 

Definition at line 978 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and wmat().

WilsonMatrix & cps::WilsonMatrix::LeftTimesEqual (  const WilsonMatrix &  rhs  ) 
 

Definition at line 263 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and p.

void cps::WilsonMatrix::load_row (  int  source_spin,
int  source_color,
const wilson_vector & 
) 
 

Definition at line 88 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and cps::wilson_vector.

Referenced by cps::QPropW::GaussSmearSinkProp(), cps::QPropW::LoadRow(), cps::QPropW::RestoreQPropLs_ftom(), and cps::QPropW::SaveQPropLs().

void cps::WilsonMatrix::load_vec (  int  sink_spin,
int  sink_color,
const wilson_vector & 
) 
 

Definition at line 84 of file WilsonMatrix.C.

References cps::color_wilson_vector::c, cps::wilson_matrix::d, and cps::wilson_vector.

Referenced by cps::QPropWGFLfuncSrc::QPropWGFLfuncSrc(), and cps::QPropW::RestoreOrgProp().

WilsonMatrix & cps::WilsonMatrix::NParProjectSink (   ) 
 

Definition at line 1227 of file WilsonMatrix.C.

References cps::Float, and gl().

WilsonMatrix & cps::WilsonMatrix::operator *= (  const Rcomplex &  rhs  ) 
 

Definition at line 305 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

WilsonMatrix & cps::WilsonMatrix::operator *= (  const Float &  rhs  ) 
 

Definition at line 289 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

WilsonMatrix & cps::WilsonMatrix::operator *= (  const WilsonMatrix &  rhs  ) 
 

Definition at line 235 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and p.

Complex cps::WilsonMatrix::operator() (  int  s1,
int  c1,
int  s2,
int  c2
)  const [inline]
 

Return the complex number references by s1 - sink_spin c1 - sink_colour s2 - source_spin c2 - source_colour ( const version )

Definition at line 279 of file wilson_matrix.h.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::Complex, cps::WilsonVector::d, cps::wilson_matrix::d, and cps::p().

Complex& cps::WilsonMatrix::operator() (  int  s1,
int  c1,
int  s2,
int  c2
)  [inline]
 

Return the complex number references by s1 - sink_spin c1 - sink_colour s2 - source_spin c2 - source_colour

Definition at line 268 of file wilson_matrix.h.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::Complex, cps::WilsonVector::d, cps::wilson_matrix::d, and cps::p().

WilsonMatrix & cps::WilsonMatrix::operator+= (  const WilsonMatrix &  rhs  ) 
 

Definition at line 176 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and p.

WilsonMatrix & cps::WilsonMatrix::operator-= (  const WilsonMatrix &  rhs  ) 
 

Definition at line 194 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, and p.

WilsonMatrix & cps::WilsonMatrix::operator= (  const Float &  rhs  ) 
 

Definition at line 321 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::Rcomplex::imag(), and cps::Rcomplex::real().

WilsonMatrix & cps::WilsonMatrix::operator= (  const wilson_matrix &  rhs  ) 
 

Definition at line 154 of file WilsonMatrix.C.

WilsonMatrix & cps::WilsonMatrix::operator= (  const WilsonMatrix &  rhs  ) 
 

Definition at line 147 of file WilsonMatrix.C.

References p.

WilsonMatrix & cps::WilsonMatrix::PParProjectSink (   ) 
 

Projects positive parity on the sink.

Definition at line 1213 of file WilsonMatrix.C.

References cps::Float, and gl().

Referenced by cps::Nuc2pt::calcMomNucleon(), cps::Nuc2pt::calcNucleon(), cps::Nuc2pt::calcWallMomNucleon(), cps::QPropWSeqProtUSrc::SetSource(), and cps::QPropWSeqProtDSrc::SetSource().

WilsonMatrix & cps::WilsonMatrix::PParProjectSource (   ) 
 

Projects positive parity on the source.

Definition at line 1249 of file WilsonMatrix.C.

References cps::Float, and gr().

Referenced by cps::QPropW::NonRelProp().

WilsonMatrix & cps::WilsonMatrix::sigmaR (  int  mu,
int  nu
) 
 

right mult by sigma_mu_nu

Definition at line 1280 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::ERR, cps::Error::General(), cps::k, TIMESMINUSI, TIMESMINUSONE, TIMESPLUSI, and TIMESPLUSONE.

WilsonMatrix & cps::WilsonMatrix::SinkChiralToDirac (   ) 
 

sink chiral to dirac rotation

Multiplies the sink indices with the rotation matrix that takes you from the Chiral to the Dirac basis.

\[ V^{s,c}_{s',c'} = \sum_{d} W^{s,c}_{d,c'} V^\dagger_{d,s'} \]

Definition at line 1270 of file WilsonMatrix.C.

References cps::color_wilson_vector::c, cps::WilsonVector::ChiralToDirac(), and cps::wilson_matrix::d.

Referenced by cps::QPropW::RestoreOrgProp(), cps::QPropW::RestoreQPropLs(), and cps::QPropW::Run().

wilson_vector & cps::WilsonMatrix::sol (  int  source_spin,
int  source_color
) 
 

get a sol. vector

Definition at line 107 of file WilsonMatrix.C.

References cps::color_wilson_vector::c, cps::wilson_matrix::d, and cps::wilson_vector.

Referenced by cps::QPropW::RestoreOrgProp().

Rcomplex cps::WilsonMatrix::Trace (   ) 
 

Definition at line 161 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, and cps::wilson_matrix::d.

Referenced by cps::Nuc3ptStru::InsertOp().

WilsonMatrix & cps::WilsonMatrix::UdagMultSource (  Matrix &  U,
WilsonMatrix &  W
) 
 

Multilies the WilsonMatrix source indices with the dagger of the gauge Matrix U

\[ V^{s,c}_{s',c'} = \sum_{c_1} W^{s,c}_{s',c_1} U^{\dagger}_{c_1,c'} \]

Definition at line 1189 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::IFloat, p, cps::Matrix::Trans(), U, and cps::uDagDotXEqual().

Referenced by cps::Nuc3ptCons::InsertOp().

WilsonMatrix & cps::WilsonMatrix::UMultSource (  Matrix &  U,
WilsonMatrix &  W
) 
 

Multilies the WilsonMatrix source indices with the gauge Matrix U

\[ V^{s,c}_{s',c'} = \sum_{c_1} W^{s,c}_{s',c_1} U_{c_1,c'} \]

Definition at line 1163 of file WilsonMatrix.C.

References cps::su3_vector::c, cps::color_wilson_vector::c, cps::WilsonVector::d, cps::wilson_matrix::d, cps::IFloat, p, cps::Matrix::Trans(), U, and cps::uDotXEqual().

Referenced by cps::Nuc3ptCons::InsertOp(), and cps::Nuc3ptStru::InsertOp().

const wilson_matrix & cps::WilsonMatrix::wmat (   )  const
 

Definition at line 101 of file WilsonMatrix.C.

Referenced by cps::ColorTrace(), cps::FermionVectorTp::CopyWilsonMatSink(), cps::Diquark::D_diquark(), diq(), joint(), cps::Nuc2pt::prop_nucleon(), cps::SpinTrace(), and cps::Diquark::U_diquark().

Friends And Related Function Documentation

Rcomplex Trace (  const WilsonMatrix &  p1,
const WilsonMatrix &  p2
)  [friend]
 

Spin and Color trace of a 2 WilsonMatrices.

The documentation for this class was generated from the following files:
Generated on Sat Oct 10 14:12:04 2009 for Columbia Physics System by  doxygen 1.3.9.1