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  • Regularization schemes of the pairing field

Regularization schemes of the pairing field · Changes

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Update Regularization schemes of the pairing field authored Mar 09, 2021 by Gabriel Wlazłowski's avatar Gabriel Wlazłowski
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Regularization-schemes-of-the-pairing-field.md
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...@@ -18,11 +18,11 @@ procedure is required. There are two predefined regularization schemes that can ...@@ -18,11 +18,11 @@ procedure is required. There are two predefined regularization schemes that can
``` ```
The effective coupling constant is computed according to prescription: The effective coupling constant is computed according to prescription:
```math ```math
\dfrac{1}{g_{\textrm{eff}}}=\dfrac{1}{g_0} - \dfrac{m}{2\alpha_+}\dfrac{k_c}{\hbar^2\pi^2}, \dfrac{1}{g_{\textrm{eff}}}=\dfrac{1}{g_0} - \dfrac{m}{2\alpha_+}\dfrac{k_c}{\hbar^2\pi^2}
\left\{ \left(
1 - \frac{k_0}{2k_c} 1 - \frac{k_0}{2k_c}
\ln\frac{k_c + k_0}{k_c - k_0} \ln\frac{k_c + k_0}{k_c - k_0}
\right\} \right)
``` ```
where where
```math ```math
......
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