From inflation to a zero cosmological constant phase without fine-tuning

We show that it is possible to obtain inflation and also solve the cosmological constant problem. The theory is invariant under changes of the Lagrangian density (Formula presented) to (Formula presented) Then the constant part of a scalar field potential (Formula presented) cannot be responsible for inflation. However, we show that inflation can be driven by a condensate of a four index field strength. A constraint appears which correlates this condensate to (Formula presented) After a conformal transformation, the equations are the standard GR equations with an effective scalar field potential (Formula presented) which has generally an absolute minimum (Formula presented) independently of (Formula presented) and without fine tuning. We also show that, after inflation, the usual reheating phase scenario (from oscillations around the absolute minimum) is possible.