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 $ \star $ The energy of the vacuum: the greatest error of physics?

The only form covariante of energy of the vacuum is:

$\displaystyle T^{\mu \nu}_{vide} = \rho_{vide} g^{\mu \nu}$ (1.32)

By using the equation and isotropic  $ P_{vide } = -\rho_{vide}$ pressure and perfectly uniform.

It thus seems that the energy of the vacuum is the perfect candidate to explain black energy.

However, in spite of many theoretical efforts, the contributions of this vacuum integrated according to precepts' of the theory of the fields give a contribution at least  $ 10^{55}$ time higher than what is actually observed. It is the problem of the energy of the vacuum .

The supersymmetry could come to the rescue. Indeed, in the simplest models of supersymmetry (Weiss-Zumino), contrary to the other theories of the fields, the vacuum (its fundamental energy level) of the field is imposed by symmetries and is null. However, to be able to be able to create masses, the supersymmetry must be broken on a electro-weak scale (  $ \simeq 100 GeV$ ) and we are brought back to the preceding problem. Moreover, even if there is a symmetry of nature making it possible to have a null energy of the vacuum, the question which installation is: why the energy of the vacuum is not-null but especially why is it so small?

The theory of the cords did not bring an answer to this question even if it seems to be, at the present time, the only theory which Marie general relativity and quantum mechanics. Moreover, it seems y to have serious problems of compatibility between the theory of the perturbatives cords and a universe of Sitter.


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Julien Raux 2004-05-04