"BRST quantization and cohomology"의 두 판 사이의 차이

2010년 11월 12일 (금) 09:30 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)

\mathfrak{g}

@@ 14번째 줄: / 14번째 줄: @@
 \Lambda_{\infty} semi-infinite form
-\mathfrak{g} : \mathbb{Z}=
+\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)
@@ 70번째 줄: / 76번째 줄: @@
 ** http://blogsearch.google.com/blogsearch?q=
 ** http://blogsearch.google.com/blogsearch?q=
+<h5 style="margin: 0px; line-height: 2em;">expositions</h5>
+\mathfrak{g}