Optimized post Gaussian approximation in the background field method

TL;DR

This paper introduces an improved method combining variational perturbation theory and background field techniques to efficiently compute corrections to the Gaussian effective potential, with renormalization in four-dimensional spacetime.

Contribution

It extends the background field method by integrating Okopinska's optimized expansion and Stansu and Stevenson's post Gaussian potential, simplifying correction calculations.

Findings

Simplified computation of correction terms to Gaussian effective action.

Successful renormalization of the effective potential in 3+1 dimensions.

Enhanced theoretical framework for quantum field calculations.

Abstract

We have extended the variational perturbative theory based on the back ground field method to include the optimized expansion of Okopinska and the post Gaussian effective potential of Stansu and Stevenson. This new method provides much simpler way to compute the correction terms to the Gausssian effective action (or potential). We have also renormalized the effective potential in 3+1 dimensions by introducing appropriate counter terms in the lagrangian