Particular types of string motions admitting anomaly-free quantization
type: Item
instance of: scholarly article
title: Particular types of string motions admitting anomaly-free quantization
zbMATH Open document ID: 0930.53060
DOI: 10.1007/BF02072006
author: I. N. Nikitin
published in: Theoretical and Mathematical Physics
publication date: 2000-02-15T00:00:00Z
review text: We demonstrate that the six-dimensional rotation- and evolution-invariant submanifolds of the string phase space, under certain topological restrictions on their form, admit a one-to-one canonical mapping into the phase space of the ``oscillator+rotator'' system with subsequent quantization. In the Hamiltonian theory constructed, the string spin is an independent canonical variable, which guarantees the explicit Lorentz covariance of the quantum theory. The spin-mass spectra of states are obtained and the discrete symmetries of the system are investigated. The spectra consist of an infinite set of linear Regge trajectories. The intercept of these trajectories is not fixed and can be chosen in a way to ensure the absence of tachyons in the theory.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 81T50
Mathematics Subject Classification ID: 81S05
zbMATH DE Number: 1382761
zbMATH Keywords: invariant submanifolds
zbMATH Keywords: string phase space
zbMATH Keywords: quantization
zbMATH Keywords: string spin
zbMATH Keywords: discrete symmetries
MaRDI profile type: Publication
cites work: HAMILTONIAN THEORY OF THE RELATIVISTIC STRING
description: scientific article; zbMATH DE number 1382761