On the BRST approach to the description of a Regge trajectory

TL;DR

This paper explores the use of BRST quantization to describe Regge trajectories, including the physical spectrum and modifications needed for single trajectories without daughters.

Contribution

It introduces a modified BRST approach to handle second class constraints for single Regge trajectories, expanding the method's applicability.

Findings

Physical spectrum includes daughter and parent trajectories.

Modified BRST construction for second class constraints.

Applicability to single Regge trajectory without daughters.

Abstract

The free field theory for Regge trajectory is described in the framework of the BRST - quantization method. The physical spectrum includes daugther trajectories along with parent one. The applicability of the BRST approach to the description of a single Regge trajectory without its daughter trajectories is discussed. The simple example illustrates the appropriately modified BRST construction for the needed second class constraints.