Application of the canonical quantization of systems with curved phase space to the EMDA theory

TL;DR

This paper applies the canonical quantization method for systems with curved phase space to the Einstein-Maxwell Dilaton-Axion theory, focusing on spherically symmetric configurations with radial fields.

Contribution

It extends the canonical quantization approach to a complex gravitational theory with curved phase space involving dilaton, axion, and electromagnetic fields.

Findings

Quantization method adapted to curved phase space

Application to Einstein-Maxwell Dilaton-Axion theory

Analysis of spherically symmetric radial fields

Abstract

The canonical quantization of dynamical systems with curved phase space introduced by I.A. Batalin, E.S. Fradkin and T.E. Fradkina is applied to the four-dimensional Einstein-Maxwell Dilaton-Axion theory. The spherically symmetric case with radial fields is considered. The Lagrangian density of the theory in the Einstein frame is written as an expression with first order in time derivatives of the fields. The phase space is curved due to the nontrivial interaction of the dilaton with the axion and the electromagnetic fields.