# Four-form field versus fundamental scalar field

## TL;DR

This paper explores a modified gravity theory involving a four-form field with a variable gravitational coupling, demonstrating its potential to cancel vacuum energy contributions and address the cosmological constant problem.

## Contribution

It introduces a novel framework combining a four-form field with variable G, deriving modified Einstein and Maxwell equations, and showing how it naturally nullifies the cosmological constant.

## Key findings

- The four-form field cancels zero-point energy contributions.
- Modified Einstein equations include derivatives of the four-form.
- The theory offers a mechanism for a nullified cosmological constant.

## Abstract

A modified-gravity theory with a four-form field strength $F$, a variable gravitational coupling parameter $G(F)$, and a standard matter action is 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.