"Vacuum energy and Casimir effect"의 두 판 사이의 차이
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* a non-zero vacuum energy is expected to contribute to the cosmological constant, which affects the expansion of the universe. | * a non-zero vacuum energy is expected to contribute to the cosmological constant, which affects the expansion of the universe. | ||
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* Casimir effect | * Casimir effect | ||
| 40번째 줄: | 36번째 줄: | ||
<math>L(-1, \chi) = \frac{1}{2f}\sum_{n=1}^{\infty}{\chi(n)}{n}</math> | <math>L(-1, \chi) = \frac{1}{2f}\sum_{n=1}^{\infty}{\chi(n)}{n}</math> | ||
| − | As the shift <math>L_0 \to L_0-\frac{c}{24}</math> has the effect of cancelling the linear term in the commutation relation, we do <math>L_0^{\ \chi} \to L_0^{ \chi}+\frac{1}{2f}L(-1, \chi)</math> to get | + | As the shift <math>L_0 \to L_0-\frac{c}{24}</math> has the effect of cancelling the linear term in the commutation relation, we do <math>L_0^{\ \chi} \to L_0^{ \chi}+\frac{1}{2f}L(-1, \chi)</math> to get a corresponding result for twisted Virasoro algebra. |
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| + | <h5>strange identity</h5> | ||
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| + | * Kac book | ||
2010년 3월 4일 (목) 13:12 판
vacuum energy
- ground state energy
- vacuum state energy
- zero point energy
QFT and the vacuum amplitude
- In QFT, there is a way to relate the vacuum energy density with the vacuum amplitutde.
- QFT provides ways to compute the vacuum amplitude.
- Sometimes it is related to the zeta values.
Vacuum energy density
- We can measure the Vacuum energy density by cosmological microwave background.
- a non-zero vacuum energy is expected to contribute to the cosmological constant, which affects the expansion of the universe.
- Casimir effect
- central charge
Vacuum energy and L-values
Let \(\chi \colon(\mathbb{Z}/n\mathbb{Z})^\times \to \mathbb C^{*}\) has the conductor f.
\(L(-1, \chi) = \frac{1}{2f}\sum_{n=1}^{\infty}{\chi(n)}{n}\)
As the shift \(L_0 \to L_0-\frac{c}{24}\) has the effect of cancelling the linear term in the commutation relation, we do \(L_0^{\ \chi} \to L_0^{ \chi}+\frac{1}{2f}L(-1, \chi)\) to get a corresponding result for twisted Virasoro algebra.
strange identity
- Kac book
표준적인 도서 및 추천도서
- 찾아볼 수학책
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
참고할만한 자료
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- Princeton companion to mathematics(첨부파일로 올릴것)
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Vacuum_energy
- http://en.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
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