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Natural Science Forum / Physics / Particle Physics / May 2008



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Could somebody explain to me why the degree of freedom of graviton is    D(D-3)/2??

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yyoon@fas.harvard.edu - 04 May 2008 21:30 GMT
Could somebody explain to me why the degree of freedom of graviton is
D(D-3)/2?

Thanks in advance

Youngsub
thomas_larsson_01@hotmail.com - 05 May 2008 18:28 GMT
On 4 Maj, 22:30, yy...@fas.harvard.edu wrote:
> Could somebody explain to me why the degree of freedom of graviton is
> D(D-3)/2?

The metric is a symmetric 2-tensor with D(D+1)/2 components.

Diffeomorphisms give D constraints. Since these constraints are
first class, they count twice (constraint + gauge fixing condition).

D(D+1)/2 - 2D = D(D-3)/2.
 
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