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Q_h_phi.c
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Q_h_phi.c
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/********************
* Q_h_phi.c
********************/
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#ifdef MPI
# include <mpi.h>
#endif
#include "cvc_complex.h"
#include "global.h"
#include "cvc_linalg.h"
#include "cvc_geometry.h"
#include "cvc_utils.h"
#include "Q_phi.h"
#include "Q_h_phi.h"
/***********************
* Q applied to c-quark
*
***********************/
void c_Q_h_phi(double *xi_c, double *phi_c, double *phi_s) {
int ix;
int index_s;
double SU3_1[18];
double spinor1[24], spinor2[24];
double *xi_c_=NULL, *phi_c_=NULL, *phi_s_=NULL, *U_=NULL;
double _1_2_kappa = 0.5 / g_kappa;
for(ix = 0; ix < VOLUME; ix++) {
index_s = ix;
xi_c_ = xi_c + _GSI(index_s);
_fv_eq_zero(xi_c_);
/* Negative t-direction. */
phi_c_ = phi_c + _GSI(g_idn[index_s][0]);
_fv_eq_gamma_ti_fv(spinor1, 0, phi_c_);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(g_idn[index_s][0], 0);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[0]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Positive t-direction. */
phi_c_ = phi_c + _GSI(g_iup[index_s][0]);
_fv_eq_gamma_ti_fv(spinor1, 0, phi_c_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(index_s, 0);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[0]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Negative x-direction. */
phi_c_ = phi_c + _GSI(g_idn[index_s][1]);
_fv_eq_gamma_ti_fv(spinor1, 1, phi_c_);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(g_idn[index_s][1], 1);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[1]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Positive x-direction. */
phi_c_ = phi_c + _GSI(g_iup[index_s][1]);
_fv_eq_gamma_ti_fv(spinor1, 1, phi_c_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(index_s, 1);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[1]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Negative y-direction. */
phi_c_ = phi_c + _GSI(g_idn[index_s][2]);
_fv_eq_gamma_ti_fv(spinor1, 2, phi_c_);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(g_idn[index_s][2], 2);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[2]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Positive y-direction. */
phi_c_ = phi_c + _GSI(g_iup[index_s][2]);
_fv_eq_gamma_ti_fv(spinor1, 2, phi_c_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(index_s, 2);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[2]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Negative z-direction. */
phi_c_ = phi_c + _GSI(g_idn[index_s][3]);
_fv_eq_gamma_ti_fv(spinor1, 3, phi_c_);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(g_idn[index_s][3], 3);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[3]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Positive z-direction. */
phi_c_ = phi_c + _GSI(g_iup[index_s][3]);
_fv_eq_gamma_ti_fv(spinor1, 3, phi_c_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_c_);
U_ = g_gauge_field + _GGI(index_s, 3);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[3]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_c_, spinor2);
/* Multiplication with -1/2. */
_fv_ti_eq_re(xi_c_, -0.5);
/* Diagonal elements. */
phi_c_ = phi_c + _GSI(index_s);
phi_s_ = phi_s + _GSI(index_s);
_fv_eq_fv_ti_re(spinor1, phi_c_, _1_2_kappa);
_fv_pl_eq_fv(xi_c_, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, phi_s_);
_fv_eq_fv_ti_im(spinor2, spinor1, g_musigma);
_fv_pl_eq_fv(xi_c_, spinor2);
_fv_eq_fv_ti_re(spinor1, phi_c_, g_mudelta);
_fv_pl_eq_fv(xi_c_, spinor1);
}
/****************************************
* call xchange_field in calling process
*
#ifdef MPI
xchange_field(xi);
#endif
*
****************************************/
}
/****************************************
* Q applied to the s-quark field
*
****************************************/
void s_Q_h_phi(double *xi_s, double *phi_s, double *phi_c) {
int ix;
int index_s;
double SU3_1[18];
double spinor1[24], spinor2[24];
double *xi_s_=NULL, *phi_s_=NULL, *phi_c_=NULL, *U_=NULL;
double _1_2_kappa = 0.5 / g_kappa;
for(ix = 0; ix < VOLUME; ix++) {
index_s = ix;
xi_s_ = xi_s + _GSI(index_s);
_fv_eq_zero(xi_s_);
/* Negative t-direction. */
phi_s_ = phi_s + _GSI(g_idn[index_s][0]);
_fv_eq_gamma_ti_fv(spinor1, 0, phi_s_);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(g_idn[index_s][0], 0);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[0]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Positive t-direction. */
phi_s_ = phi_s + _GSI(g_iup[index_s][0]);
_fv_eq_gamma_ti_fv(spinor1, 0, phi_s_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(index_s, 0);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[0]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Negative x-direction. */
phi_s_ = phi_s + _GSI(g_idn[index_s][1]);
_fv_eq_gamma_ti_fv(spinor1, 1, phi_s_);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(g_idn[index_s][1], 1);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[1]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Positive x-direction. */
phi_s_ = phi_s + _GSI(g_iup[index_s][1]);
_fv_eq_gamma_ti_fv(spinor1, 1, phi_s_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(index_s, 1);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[1]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Negative y-direction. */
phi_s_ = phi_s + _GSI(g_idn[index_s][2]);
_fv_eq_gamma_ti_fv(spinor1, 2, phi_s_);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(g_idn[index_s][2], 2);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[2]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Positive y-direction. */
phi_s_ = phi_s + _GSI(g_iup[index_s][2]);
_fv_eq_gamma_ti_fv(spinor1, 2, phi_s_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(index_s, 2);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[2]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Negative z-direction. */
phi_s_ = phi_s + _GSI(g_idn[index_s][3]);
_fv_eq_gamma_ti_fv(spinor1, 3, phi_s_);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(g_idn[index_s][3], 3);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[3]);
_fv_eq_cm_dag_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Positive z-direction. */
phi_s_ = phi_s + _GSI(g_iup[index_s][3]);
_fv_eq_gamma_ti_fv(spinor1, 3, phi_s_);
_fv_mi(spinor1);
_fv_pl_eq_fv(spinor1, phi_s_);
U_ = g_gauge_field + _GGI(index_s, 3);
_cm_eq_cm_ti_co(SU3_1, U_, &co_phase_up[3]);
_fv_eq_cm_ti_fv(spinor2, SU3_1, spinor1);
_fv_pl_eq_fv(xi_s_, spinor2);
/* Multiplication with -1/2. */
_fv_ti_eq_re(xi_s_, -0.5);
/* Diagonal elements. */
phi_c_ = phi_c + _GSI(index_s);
phi_s_ = phi_s + _GSI(index_s);
_fv_eq_fv_ti_re(spinor1, phi_s_, _1_2_kappa);
_fv_pl_eq_fv(xi_s_, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, phi_c_);
_fv_eq_fv_ti_im(spinor2, spinor1, g_musigma);
_fv_pl_eq_fv(xi_s_, spinor2);
_fv_eq_fv_ti_re(spinor1, phi_s_, g_mudelta);
_fv_mi_eq_fv(xi_s_, spinor1);
}
/****************************************
* call xchange_field in calling process
*
#ifdef MPI
xchange_field(xi);
#endif
*
****************************************/
}
/********************
* Q_h_phi
*
********************/
void Q_h_phi(double *xi_c, double *xi_s, double *phi_c, double *phi_s) {
s_Q_h_phi(xi_s, phi_s, phi_c);
c_Q_h_phi(xi_c, phi_c, phi_s);
}
/********************
* B_h
* - the diagornal part of the Dirac operator inverted
********************/
void s_B_h_phi(double *xi_s, double *phi_s, double *phi_c, double sign) {
int ix;
double spinor1[24], *xi_s_, *phi_s_, *phi_c_;
double norm = 1. / (1. + 4.*g_kappa*g_kappa*(g_musigma*g_musigma-g_mudelta*g_mudelta) );
for(ix=0; ix<VOLUME; ix++) {
xi_s_ = xi_s + _GSI(ix);
phi_s_ = phi_s + _GSI(ix);
phi_c_ = phi_c + _GSI(ix);
_fv_eq_gamma_ti_fv(spinor1, 5, phi_c_);
_fv_eq_fv_ti_im(xi_s_, spinor1, sign*2.*g_kappa*g_musigma);
// mp: plus g_mudelta here since it is the flavor tau^3
_fv_eq_fv_ti_re(spinor1, phi_s_, (1+2.*g_kappa*g_mudelta));
_fv_pl_eq_fv(xi_s_, spinor1);
_fv_ti_eq_re(xi_s_, norm);
}
}
void c_B_h_phi(double *xi_c, double *phi_c, double *phi_s, double sign) {
int ix;
double spinor1[24], *phi_s_, *phi_c_, *xi_c_;
double norm = 1. / (1. + 4.*g_kappa*g_kappa*(g_musigma*g_musigma-g_mudelta*g_mudelta) );
for(ix=0; ix<VOLUME; ix++) {
xi_c_ = xi_c + _GSI(ix);
phi_s_ = phi_s + _GSI(ix);
phi_c_ = phi_c + _GSI(ix);
_fv_eq_gamma_ti_fv(spinor1, 5, phi_s_);
_fv_eq_fv_ti_im(xi_c_, spinor1, sign*2.*g_kappa*g_musigma);
_fv_eq_fv_ti_re(spinor1, phi_c_, (1-2.*g_kappa*g_mudelta));
_fv_pl_eq_fv(xi_c_, spinor1);
_fv_ti_eq_re(xi_c_, norm);
}
}
void B_h_phi(double *xi_c, double *xi_s, double *phi_c, double *phi_s, double sign) {
s_B_h_phi(xi_s, phi_s, phi_c, sign);
c_B_h_phi(xi_c, phi_c, phi_s, sign);
}
/*****************************************************
* gamma5_B_h_H4_gamma5
* - calculates xi = gamma5 (B^+ H)^4 gamma5 phi
* - _NOTE_ : B^+H is indep. of repr.
*****************************************************/
void gamma5_B_h_dagH4_gamma5 (double *xi_c, double *xi_s, double *phi_c, double *phi_s, double *work1, double *work2) {
int ix, i;
double spinor1[24];
double sign = 1.;
// multiply original source (phi) with gamma_5, save in xi
for(ix=0; ix<VOLUME; ix++) {
_fv_eq_gamma_ti_fv(xi_c + _GSI(ix), 5, phi_c + _GSI(ix) );
}
for(ix=0; ix<VOLUME; ix++) {
_fv_eq_gamma_ti_fv(xi_s + _GSI(ix), 5, phi_s + _GSI(ix) );
}
/************************************************************
* apply B^dagger H four times
* - status: source = xi from last step, dest = work
* - NOTE: sign = +1 for B^dagger
************************************************************/
// 1st application
xchange_field(xi_c);
Hopping(work2, xi_c);
xchange_field(xi_s);
Hopping(work1, xi_s);
B_h_phi(xi_c, xi_s, work2, work1, sign);
// 2nd application
xchange_field(xi_c);
Hopping(work1, xi_c);
xchange_field(xi_s);
Hopping(work2, xi_s);
B_h_phi(xi_c, xi_s, work1, work2, sign);
// 3rd application
xchange_field(xi_c);
Hopping(work1, xi_c);
xchange_field(xi_s);
Hopping(work2, xi_s);
B_h_phi(xi_c, xi_s, work1, work2, sign);
// 4th application
xchange_field(xi_c);
Hopping(work1, xi_c);
xchange_field(xi_s);
Hopping(work2, xi_s);
B_h_phi(xi_c, xi_s, work1, work2, sign);
/* final step: multiply with gamma_5 and */
for(ix=0; ix<VOLUME; ix++) {
_fv_eq_gamma_ti_fv(spinor1, 5, xi_c + _GSI(ix));
_fv_eq_fv(xi_c + _GSI(ix), spinor1);
}
for(ix=0; ix<VOLUME; ix++) {
_fv_eq_gamma_ti_fv(spinor1, 5, xi_s + _GSI(ix));
_fv_eq_fv(xi_s + _GSI(ix), spinor1);
}
}