Document type
ArticleVersion
Published versionPublication date
All rights reserved
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/131511
Effective-string-theory constraints on the long-distance behavior of the subleading potentials
Journal Title
Authors
Director/Tutor
Journal ISSN
Volume Title
Related resource
Abstract
The dynamics of heavy quarkonium systems in the strong coupling regime reduces to a quantum mechanical problem with a number of potentials which may be organized in powers of 1 / m , m being the heavy quark mass. The potentials must be calculated nonperturbatively, for instance, in lattice QCD. It is well known that the long-distance behavior of the static ( 1 / m 0 ) potential is well reproduced by an effective string theory. We show that this effective string theory, if correct, should also reproduce the long-distance behavior of all 1 / m suppressed potentials. We demonstrate the practical usefulness of this result by finding a suitable parameterization of the recently calculated 1 / m potential. We also calculate the 1 / m 2 velocity-dependent and spin-dependent potentials. Once Poincaré invariance is implemented, the shapes of most of the spin-independent potentials are fully predicted in terms of the string tension and the shapes of the spin-dependent ones in terms of a single parameter.
Subject (English)
Citation
Citation
PÉREZ-NADAL, Guillem and SOTO RIERA, Joan. Effective-string-theory constraints on the long-distance behavior of the subleading potentials. Physical Review D. 2009. Vol. 79, num. 11, pags. 114002. ISSN 1550-7998. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/131511