A Correction to the Hamiltonian of the QCD String with Quarks due to the Rigidity Term

Abstract

A correction to the Hamiltonian of the quark-antiquark system, arising due to the rigidity term in the gluodynamics string effective action, is obtained. This correction contains additional contributions to the orbital momentum of the system and several higher derivative operators. With the help of the derived Hamiltonian a rigid string-induced term in the Hamiltonian of the relativistic quark model is evaluated for the case of large masses of a quark and antiquark.

7 pages, LaTeX, no figures, minor corrections

References in corpus (1)

• Curvature expansion for the background-induced gluodynamics string

Cited by in corpus (5)

• String Nature of Confinement in (Non-)Abelian Gauge Theories
• String Representation of Field Correlators in the SU(3)-Gluodynamics
• Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory
• Curvature Expansion for the Gluodynamics String including Perturbative Gluonic Contributions
• Fluctuating Strings in the Universal Confining String Theory and Gluodynamics