\delta-expansion and self-consistent calculation

TL;DR

This paper compares delta-expansion, self-consistent calculations, and minimal sensitivity methods in simple theories, finding that minimal sensitivity yields more accurate results at each order.

Contribution

It demonstrates that the principle of minimal sensitivity provides more precise results than delta-expansion and self-consistent methods in simple theories.

Findings

Minimal sensitivity method outperforms delta-expansion and self-consistent calculations in accuracy.

Order-by-order comparison shows increasing accuracy with minimal sensitivity.

The study clarifies the relative effectiveness of these approximation techniques.

Abstract

We compare results from $\delta$--expansion, in simple theories, with self--consistent calculations as well as calculations involving the principle of minimal sensitivity. We show that the latter methods give relatively more accurate results order by order.