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--- 물리:구면_p-스핀_유리_모형 [2026/04/24 08:21] – [베키-루에-스토라-튜틴(Becchi-Rouet-Stora-Tyutin, BRST) 대칭성] admin
+++ 물리:구면_p-스핀_유리_모형 [2026/04/24 08:26] (current) – [베키-루에-스토라-튜틴(Becchi-Rouet-Stora-Tyutin, BRST) 대칭성] admin
@@ Line 481: / Line 481: @@
 이 변환에 따른 $\mathcal{S}$의 변화량을 적어보자:
 \begin{eqnarray*}
-\delta S &=& \sum_k \left(-i\omega \epsilon \psi_k \mathcal{T}_k + \lambda_k \delta \mathcal{T}_k\right) - \sum_{jk} \left( \epsilon \lambda_j \mathcal{A}_{jk} \psi_k + \bar{\psi}_j \delta \mathcal{A}_{jk} \psi_k \right) + i\omega \delta f_\text{TAP}\\
+\delta S &=& \sum_k \left(i \delta \lambda_k \mathcal{T}_k + \lambda_k \delta \mathcal{T}_k\right) + \sum_{jk} \left( \delta\bar{\psi}_j \mathcal{A}_{jk} \psi_k + \bar{\psi}_j \delta \mathcal{A}_{jk} \psi_k \right) + i\omega \delta f_\text{TAP}\\
-&=& \sum_k \left(-i\omega \epsilon \psi_k \mathcal{T}_k + \lambda_k \sum_l \mathcal{A}_{kl} \epsilon \psi_l \right) - \sum_{jk} \left( \epsilon \lambda_j \mathcal{A}_{jk} \psi_k + \bar{\psi}_j \delta \mathcal{A}_{jk} \psi_k \right) + i\omega \sum_k \mathcal{T}_k \epsilon \psi_k.
+ &=& \sum_k \left(-i\omega \epsilon \psi_k \mathcal{T}_k + \lambda_k \delta \mathcal{T}_k\right) + \sum_{jk} \left( -\epsilon \lambda_j \mathcal{A}_{jk} \psi_k + \bar{\psi}_j \delta \mathcal{A}_{jk} \psi_k \right) + i\omega \delta f_\text{TAP}\\
+&=& \sum_k \left(-i\omega \epsilon \psi_k \mathcal{T}_k + \lambda_k \sum_l \mathcal{A}_{kl} \epsilon \psi_l \right) + \sum_{jk} \left( -\epsilon \lambda_j \mathcal{A}_{jk} \psi_k + \bar{\psi}_j \delta \mathcal{A}_{jk} \psi_k \right) + i\omega \sum_k \mathcal{T}_k \epsilon \psi_k.
 \end{eqnarray*}
 이때 $\delta \mathcal{A}_{jk} = \sum_l \left(\partial \mathcal{A}_{jk}/\partial m_l\right) \epsilon \psi_l$