Causality in 1+1 Dimensional Yukawa Model-II

TL;DR

This paper analyzes the 1+1 dimensional Yukawa model in a specific limit, revealing it reduces to a nonlocal phi 3 theory and exhibits causality violation, with implications for understanding quantum field theory behavior.

Contribution

It demonstrates that in a certain limit, the Yukawa model simplifies to a nonlocal phi 3 theory and shows causality violation, extending previous bound state results.

Findings

Model reduces to nonlocal phi 3 theory in the limit

Causality violation observed in this limit

Builds on previous bound state analysis

Abstract

We discuss the limits g tending to large, M tending to large with g^3/M = const. of the 1 + 1 dimensional Yukawa model. We take into account conclusion of the results on bound states of the Yukawa Model in this limit (obtained in [7]). We find that model reduces to an effective nonlocal phi 3 theory in this limit. We observe causality violation in this limit. We discuss the result.