The actionangle variables for the massless relativistic string in 1 + 1 dimensions
Research output: Contribution to journal › Article
Abstract
In this paper the Poisson bracket algebra for the open massless relativistic string in the onespaceand onetimedimensional case is considered. In order to characterize the orbit of the system the directrix function, i.e., the orbit of one of the endpoints of the string, is used. It turns out that the Poisson bracket algebra is of a very simple form in terms of the parameters of the directrix function. We use these results to construct actionangle variables for the general motion of the string. The variables are different for different Lorentz frames, with a continuous dependence. The actionangle variables of the centerofmass frame and of the lightcone frames are of particular interest with respect to the simplicity of the Poincaré generators and the physical interpretation. For the lightcone frame variables the equivalence to a set of indistinguishable oscillators is shown, for which an excitation corresponds to an instantaneous momentum transfer to an endpoint of the string.
Details
Authors  

Organisations  
Research areas and keywords  Subject classification (UKÄ) – MANDATORY

Original language  English 

Pages (fromto)  112123 
Number of pages  12 
Journal  Journal of Mathematical Physics 
Volume  26 
Issue number  1 
State  Published  1985 
Peerreviewed  Yes 