Four-form field versus fundamental scalar field

M. K. Savelainen

*Low Temperature Laboratory, Department of Applied Physics, Aalto University,*

PO Box 15100, FI-00076 Aalto, Finland

**Abstract**

A modified-gravity theory with a four-form
field strength F, a variable gravitational coupling parameter G(F),
and a standard matter action are considered here. Maxwell and Einstein
equations are now derived when including to action also derivates of F. The
energy momentum tensor of the 4-form field contains both the part, which is
typical for the fundamental (pseudo)scalar, and the part, which cancels
the divergent contribution of the zero-point energies of quantum fields to
the vacuum energy and thus leads to the natural nullification of the
cosmological constant in Minkowski vacuum.