XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

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, gr-qc/0603070 , gr-qc/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 no-go 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.