"Recent Studies in Perturbation Theory" ed. by Dimo I. Uzunov

This volume is dedicated to Perturbation Theory and contains chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics , the quantum gravity and its detection and measurement, atom-photon interactions, treatment of spectra and radiation characteristics by relativistic perturbation theory, and Green's function theory and some applications.

The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations and to the development of new homotopy asymptotic methods and some of their applications.

Contents
Preface
1 Perturbed Differential Equations with Singular Points
2 Homotopy Asymptotic Method and Its Application
3 Green Function
4 Renormalization Group Theory of Effective Field Theory Models in Low Dimensions
5 Relativistic Perturbation Theory Formalism to Computing Spectra and Radiation Characteristics: Application to Heavy Elements
6 Atoms-Photonic Field Interaction: Influence Functional and Perturbation Theory
7 Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy