chi0_w0r_from_grt_PH

Synopsis:

triqs_tprf::chi_wr_t chi0_w0r_from_grt_PH (triqs_tprf::g_tr_cvt g_tr)

Generalized susceptibility zero imaginary frequency bubble in the particle-hole channel \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega=0, \mathbf{r})\)

Parameters

• g_tr: Imaginary time Green’s function in real-space, \(G_{a\bar{b}}(\tau, \mathbf{r})\).

Return value

Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\mathbf{r})\) in real-space.

Documentation

Computes

(1)\[\chi^{(0)}_{\bar{a}b\bar{c}d}(\mathbf{r}) = - \int_0^\beta d\tau \, G_{d\bar{a}}(\tau, \mathbf{r}) G_{b\bar{c}}(-\tau, -\mathbf{r})\]