Coherent and cat states of open and closed strings

TL;DR

This paper constructs and analyzes coherent and cat states of open and closed bosonic strings using covariant and light cone quantization, revealing their statistical properties and identifying a tachyonic state with positive norm.

Contribution

It introduces a systematic method to build coherent and cat states for strings and examines their statistical behavior, including the Mandel parameter analysis.

Findings

Coherent and cat states are successfully constructed for open and closed strings.

The statistical analysis reveals interesting properties of the string states.

A tachyonic state with imaginary mass and positive norm is identified.

Abstract

The covariant quantization and light cone quantization formalisms are followed to construct the coherent states of both open and closed bosonic strings. We make a systematic and straightforward use of the original definition of coherent states of harmonic oscillators to establish the coherent and their corresponding cat states. We analyze the statistics of these states by explicitly calculating the Mandel parameter and obtained interesting results about the nature of distribution of the states. A tachyonic state with imaginary mass and the positive norm is obtained.