On the Bound States in a Non-linear Quantum Field Theory of a Spinor Field with Higher Derivatives

TL;DR

This paper investigates bound states in a higher-derivative quantum field theory of a spinor field with self-interaction, demonstrating the existence of a scalar bound state using the Bethe-Salpeter equation.

Contribution

It introduces a model with higher derivatives for a spinor field and analyzes two-particle bound states within this framework for the first time.

Findings

Existence of a scalar bound state confirmed

Application of Bethe-Salpeter equation in higher-derivative context

Analysis conducted in the chain approximation

Abstract

We consider a model of quantum field theory with higher derivatives for a spinor field with quartic selfinteraction. With the help of the Bethe-Salpeter equation we study the problem of the two particle bound states in the "chain" approximation. The existence of a scalar bound state is established.