Abstract
We compute semi-classical corrections to the energy of rotating open Nambu-Goto strings with and without masses at the ends, using methods from quantum field theory on curved space-times.
Highlights
For several reasons, the Nambu-Goto string is an interesting model: It exhibits diffeomorphism invariance, making it a toy model for gravity
The other approach to effective string theory in noncritical dimensions, related to Liouville theory, is defined by the Polchinski-Strominger (PS) action [10]. It is derived by fixing the parametrization to conformal gauge and introducing singular supplementary terms in order to preserve the conformal symmetry at the quantum level
(17), we find that the spectrum of Lq should be the integers, as expected for an angular momentum operator
Summary
The Nambu-Goto string is an interesting model: It exhibits diffeomorphism invariance, making it a toy model for (quantum) gravity. The other approach to effective string theory in noncritical dimensions, related to Liouville theory, is defined by the Polchinski-Strominger (PS) action [10] It is derived by fixing the parametrization to conformal gauge and introducing singular supplementary terms in order to preserve the conformal symmetry at the quantum level. This is quite different from our approach to effective string theory [9]: There, gauge conditions are only imposed on the fluctuations φ, the parametrization of the classical solution Xbeing arbitrary This corresponds to the standard treatment of Yang-Mills theories in background fields or of perturbative quantum gravity.. H 1⁄4 H0 þ OðR−1γ−12Þ; with H0 independent of R and γ.3 In our parametrization, the relation between the world-sheet Hamiltonian H, the quantum correction Eq to the target space energy E, and the quantum correction Lq1;2 to the angular momentum L1;2 is
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
