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Generated documentation for ctseg/3.3.x
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jenkins-TRIQS-ctseg_J-3.3.x-57 79dc64ad8b14e2ac29afb44e553661ae175e1fa2
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flatiron-jenkins committed Nov 27, 2024
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Expand Up @@ -26,7 +26,7 @@ Here :math:`\beta` is the inverse temperature, :math:`a` denote orbital indices,
:math:`n_a \equiv \sum_{\sigma} n_{a\sigma}`, :math:`s_a^{\xi} \equiv \frac{1}{2} \sum_{\sigma \sigma'} \overline{c}_{a\sigma}
\sigma_{\sigma \sigma'}^{\xi} c_{a \sigma'}` and :math:`\sigma^{\xi}` are the Pauli matrices. :math:`\overline{c}_{a\sigma}(\tau)`
and :math:`c_{a\sigma}(\tau)` are the :math:`\beta`-antiperiodic Grassmann fields corresponding to the fermion
creation and annihilation operators on the impurity, respectively. The :math:`\epsilon_{a\sigma}` are orbital energies and :math:`mu`
creation and annihilation operators on the impurity, respectively. The :math:`\epsilon_{a\sigma}` are orbital energies and :math:`\mu`
is the chemical potential.

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2 changes: 1 addition & 1 deletion ctseg/3.3.x/algorithm_implementation/ctseg.html
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Expand Up @@ -229,7 +229,7 @@ <h2>Double expansion<a class="headerlink" href="#double-expansion" title="Link t
<span class="math notranslate nohighlight">\(n_a \equiv \sum_{\sigma} n_{a\sigma}\)</span>, <span class="math notranslate nohighlight">\(s_a^{\xi} \equiv \frac{1}{2} \sum_{\sigma \sigma'} \overline{c}_{a\sigma}
\sigma_{\sigma \sigma'}^{\xi} c_{a \sigma'}\)</span> and <span class="math notranslate nohighlight">\(\sigma^{\xi}\)</span> are the Pauli matrices. <span class="math notranslate nohighlight">\(\overline{c}_{a\sigma}(\tau)\)</span>
and <span class="math notranslate nohighlight">\(c_{a\sigma}(\tau)\)</span> are the <span class="math notranslate nohighlight">\(\beta\)</span>-antiperiodic Grassmann fields corresponding to the fermion
creation and annihilation operators on the impurity, respectively. The <span class="math notranslate nohighlight">\(\epsilon_{a\sigma}\)</span> are orbital energies and <span class="math notranslate nohighlight">\(mu\)</span>
creation and annihilation operators on the impurity, respectively. The <span class="math notranslate nohighlight">\(\epsilon_{a\sigma}\)</span> are orbital energies and <span class="math notranslate nohighlight">\(\mu\)</span>
is the chemical potential.</p>
<p>This action can be recast as</p>
<div class="math notranslate nohighlight">
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