Two-Loop Diagrams in Noncommutative $\phi^4_4$ theory

TL;DR

This paper presents explicit two-loop calculations demonstrating the two-loop renormalizability of noncommutative  theory, advancing understanding of quantum field theories on noncommutative spaces.

Contribution

It provides the first explicit two-loop calculations confirming the renormalizability of noncommutative  theory.

Findings

Model is proven to be two-loop renormalizable.

Explicit two-loop calculations are provided.

Supports the consistency of noncommutative quantum field theories.

Abstract

Explicit two-loop calculations in noncommutative $\phi^4_4$ theory are presented. It is shown that the model is two-loop renormalizable.