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→Reweighting procedure: sizes of angle brackets |
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Line 55:
\int D \sigma \; \frac{\rho \left[ \; \sigma \; \right]}{\rho^\text{ref}
\left[ \; \sigma \; \right]} \; \rho^\text{ref} \left[ \; \sigma \; \right]}
= \frac{\left\langle A \left[ \; \sigma \; \right]
\; \frac{\rho \left[ \; \sigma \; \right]}{\rho^\text{ref}
\left[ \; \sigma \; \right]} \right\rangle^\text{ref}}{
\left\langle \frac{\rho \left[ \; \sigma \; \right]}{\rho^\text{ref}
\left[ \; \sigma \; \right]} \right\rangle^\text{ref}},
</math>
Line 69:
:<math>
\langle A \rangle \approx \lim_{\tau_\text{run} \longrightarrow \infty}
\frac{\sum\limits_{i=1}^{\tau_\text{run}}
\; A \left[ \; \sigma_i \; \right] \; \frac{\rho
\left[ \; \sigma_i \; \right]}{\rho^\text{ref} \left[ \; \sigma_i \; \right]}}{
\sum\limits_{i=1}^{\tau_\text{run}} \; \frac{\rho \left[ \; \sigma_i \;
\right]}{\rho^\text{ref} \left[ \; \sigma_i \; \right]}},
</math>
where <math>\tau_\text{run}</math> defines the total number of simulation steps.
=== Choice of reference system and sign problem ===
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