https://doi.org/10.1140/epjp/i2011-11026-8
Regular Article
The rest-frame instant form and Dirac observables for the open Nambu string
1
Dipartimento di Fisica, Università di Firenze, Polo Scientifico, Via Sansone 1, 50019, Sesto Fiorentino, Italy
2
The University of Tennessee Space Institute, 37388, Tullahoma, TN, USA
3
Sezione INFN di Firenze, Polo Scientifico, Via Sansone 1, 50019, Sesto Fiorentino (FI), Italy
Received:
10
December
2010
Accepted:
7
February
2011
Published online:
23
March
2011
The rest-frame instant form of the positive-energy part of the open Nambu string is developed. The string is described as a decoupled non-local canonical non-covariant Newton-Wigner center of mass plus a canonical basis of Wigner-covariant relative variables living in the Wigner 3-spaces. The center of mass carries a realization of the Poincaré algebra depending upon the invariant mass and the rest-spin of the string, functions of the relative variables. A canonical basis of gauge-invariant Dirac observables is built with Frenet-Serret geometrical methods. Some comments on canonical quantization are made.
© Società Italiana di Fisica and Springer, 2011
