"Path integral and moduli space of Riemann surfaces"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | <math>Z=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}=\frac{1}{g_{s}^2}Z_{0}+g_{s}^{0}Z_{1}+g_{s}^2Z_{2}+\cdtos</math> | + | <math>Z=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}=\sum_{g=0}^{\infty} g_{s}^{2g-2}Z_{g}=\frac{1}{g_{s}^2}Z_{0}+g_{s}^{0}Z_{1}+g_{s}^2Z_{2}+\cdtos</math> |
classical | classical | ||
| 7번째 줄: | 7번째 줄: | ||
<math>\frac{1}{g_{s}^2}Z_{0}</math> | <math>\frac{1}{g_{s}^2}Z_{0}</math> | ||
| − | other terms : | + | other terms : loop (=quantum ) corrections |
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| 14번째 줄: | 18번째 줄: | ||
<math>Z(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})</math> | <math>Z(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})</math> | ||
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| 38번째 줄: | 38번째 줄: | ||
<h5>related items</h5> | <h5>related items</h5> | ||
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| + | * [[0 modular invariance in math and physics]] | ||
2011년 10월 22일 (토) 07:26 판
introduction
\(Z=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}=\sum_{g=0}^{\infty} g_{s}^{2g-2}Z_{g}=\frac{1}{g_{s}^2}Z_{0}+g_{s}^{0}Z_{1}+g_{s}^2Z_{2}+\cdtos\)
classical
\(\frac{1}{g_{s}^2}Z_{0}\)
other terms : loop (=quantum ) corrections
Scattering amplitude
\(Z(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}(V_1,\cdots, V_{s},V_{s+1},\cdots, V_{s+p})\)
Polchinski I,5
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