Bound States from Regge Trajectories in a Scalar Model

TL;DR

This paper uses renormalization group methods to compute Regge trajectories in a scalar model, revealing a rich bound state spectrum and comparing results with Bethe-Salpeter and Schrödinger equations.

Contribution

It introduces a novel approach to calculating bound states via Regge trajectories using renormalization group techniques in a scalar field theory.

Findings

Bound state spectrum is surprisingly rich.

Results are consistent with Bethe-Salpeter ladder approximation.

Non-relativistic limit aligns with Schrödinger equation predictions.

Abstract

The calculation of bound state properties using renormalization group techniques to compute the corresponding Regge trajectories is presented. In particular, we investigate the bound states in different charge sectors of a scalar theory with interaction (phi^dagger phi chi). The resulting bound state spectrum is surprisingly rich. Where possible we compare and contrast with known results of the Bethe-Salpeter equation in the ladder approximation and, in the non-relativistic limit, with the corresponding Schr"odinger equation.