Alexander Kaganovich
Signed measure in field theory and cosmological constant problem
The cosmological constant problem (or equivalently, the vacuum energy problem) is one of the fundamental puzzles of the gravitational and particle field theories. In the series of papers together with E. Guendelman (e.g. Phys.Rev.D60:065004,1999; Phys.Rev.D63:025022,2001; Int.J.Mod.Phys.A, 21:4373, 2006, grqc/0603070 , grqc/0606017 ) we have devoloped a new field theory which reproducing General Relativity provides a resolution of the cosmological constant problem. It turns out that this is a result of using the signed measure of integration in the action principle. Such an approach shows why according to the S. Weinberg's nogo cosmological constant theorem this problem cannot be solved in conventional field theories, i.e theories with only the measure of
integration $\sqrt{g}$ in the action.
