"BRST quantization and cohomology"의 두 판 사이의 차이

2010년 11월 12일 (금) 08:49 판

Gauge theory = principal G-bundle
We require a quantization of gauge theory.
BRST quantization is one way to quantize the theory and is a part of path integral.
Gauge theory allows 'local symmetry' which should be ignored to be physical.
This ignoring process leads to the cohomoloy theory.
the conditions D = 26 and α0 = 1 for the space-time dimension D and the zero-intercept α0 of leading trajectory are required by the nilpotency QB2 = 0 of the BRS charge

\Lambda_{\infty} semi-infinite form

\mathfrak{g} : \mathbb{Z}-graded Lie algebra

\sigma : anti-linear automorphism sending \mathfrak{g}_{n} to \mathfrak{g}_{-n}

H^2(\mathfrak{g})=0 (i.e. no non-trivial central extension)

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 <h5 style="margin: 0px; line-height: 2em;">expositions</h5>
-\mathfrak{g}
+* [http://www.math.sciences.univ-nantes.fr/%7Ewagemann/LAlecture.pdf http://www.math.sciences.univ-nantes.fr/~wagemann/LAlecture.pdf]<br>
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+* [http://www.pnas.org/content/83/22/8442.abstract Semi-infinite cohomology and string theory]<br>
+** I. B. Frenkel,. H. Garland, and. G. J. Zuckerman, PNAS November 1, 1986 vol. 83 no. 22 8442-8446
 * [[2010년 books and articles|논문정리]]
 * http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=