ON THE STRUCTURE OF EFFECTIVE ACTION IN 4-DIMENSIONAL QUANTUM DILATONSUPERGRAVITY

A general structure of effective action in a new chiral superfield mod el associated with N = 1, D = 4 supergravity is investigated. This mod el corresponds to finite quantum field theory and does not demand the regularization and renormalization of the effective action calculation . It is shown that in a local approximation the effective action is de fined by two objects called the general superfield effective Lagrangia n and the chiral superfield effective Lagrangian. A proper-time method is generalized for calculation of these two effective Lagrangians in a superfield manner. A power expansion of the effective action in supe rcovariant derivatives is formulated and the lower terms of such an ex pansion are calculated in explicit superfield form.