Collective coordinates method in relativistic theory

TL;DR

This paper develops a covariant perturbation theory in relativistic field theory using a dilatation operator as the evolution generator, enabling systematic expansion in inverse powers of the coupling constant.

Contribution

It introduces a covariant perturbation framework in relativistic theories employing a dilatation operator as the evolution tool, which is a novel approach.

Findings

Perturbation theory is manifestly covariant at all orders.

Dilatation operator acts as the evolution generator in scale non-invariant theories.

Framework allows systematic expansion in inverse coupling constant.

Abstract

A field theoretical perturbation theory in inverse powers of coupling constant is developed which is manifestly covariant in every order of the expansion. A dilatation operator serves as an evolution dynamical one in a scale non-invariant theory.