A new method of quantization of classical solutions

TL;DR

This paper introduces a novel quantization approach for classical solutions using stochastic methods, deriving and solving equations for quantum fluctuations in massless phi^4 theory, and computing the first correction to the free propagator.

Contribution

It presents a new stochastic quantization technique for classical solutions and applies it to calculate quantum corrections in massless phi^4 theory.

Findings

Derived equations for correlators of quantum fluctuations.

Solved equations in lowest-order perturbation theory.

Calculated the first correction to the free propagator.

Abstract

Using stochastic quantization method we derive equations for correlators of quantum fluctuations around the classical solution in the massless phi^4 theory. The obtained equations are then solved in the lowest orders of perturbation theory, and the first correction to the free propagator of a quantum fluctuation is calculated.