On structure of effective action in four-dimensional quantum dilaton supergravity

TL;DR

This paper investigates the structure of the effective action in a four-dimensional quantum dilaton supergravity model, revealing a finite, regularization-free formulation with explicit superfield calculations.

Contribution

It introduces a new superfield approach to the effective action in N=1, D=4 supergravity, including a generalized proper-time method and explicit derivative expansion.

Findings

Effective action characterized by superfield Lagrangians

Generalized proper-time method for superfield calculations

Explicit superfield form of low-order derivative expansion

Abstract

A general structure of effective action in new chiral superfield model associated with $N=1$, $D=4$ supergravity is investigated. This model corresponds to finite quantum field theory and does not demand the regularization and renormalization at effective action calculation. It is shown that in local approximation the effective action is defined by two objects called general superfield effective lagrangian and chiral superfield effective lagrangian. A proper-time method is generalized for calculation of these two effective lagrangians in superfield manner. Power expansion of the effective action in supercovariant derivatives is formulated and the lower terms of such an expansion are calculated in explicit superfield form.