"Path integral and moduli space of Riemann surfaces"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| (사용자 2명의 중간 판 8개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | <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}+\ | + | <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}+\cdots</math> |
classical | classical | ||
| 9번째 줄: | 9번째 줄: | ||
other terms : loop (=quantum ) corrections | other terms : loop (=quantum ) corrections | ||
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==Scattering amplitude== | ==Scattering amplitude== | ||
| 19번째 줄: | 19번째 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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Polchinski I,5 | Polchinski I,5 | ||
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==related items== | ==related items== | ||
| − | + | * [[Moduli spaces of Riemann surfaces]] | |
* [[0 modular invariance in math and physics]] | * [[0 modular invariance in math and physics]] | ||
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[[분류:physics]] | [[분류:physics]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
| + | [[분류:string theory]] | ||
| + | [[분류:migrate]] | ||
2020년 12월 28일 (월) 05:07 기준 최신판
introduction
\(Z=\sum_{g=0}^{\infty} g_{s}^{-\chi(\Sigma_{g})}Z_{g}=\sum_{g=0}^{\infty} g_{s}^{2g-2}Z_{g}=\frac{1}{g_{s}^2}Z_{0}+g_{s}^{0}Z_{1}+g_{s}^2Z_{2}+\cdots\)
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