Poincare' invariance and the heavy-quark potential

Abstract

We derive and discuss the constraints induced by Poincare' invariance on the form of the heavy-quark potential up to order 1/m^2. We present two derivations: one uses general arguments directly based on the Poincare' algebra and the other follows from an explicit calculation on the expression of the potential in terms of Wilson loops. We confirm relations from the literature, but also clarify the origin of a long-standing false statement pointed out recently.

20 pages, 4 figures

References in corpus (1)

• Power counting and effective field theory for charmonium

Cited by in corpus (28)

• Heavy quarkonium: progress, puzzles, and opportunities
• The $XYZ$ states: experimental and theoretical status and perspectives
• Effective field theories for heavy quarkonium
• QCD and strongly coupled gauge theories: challenges and perspectives
• The Physics of the B Factories
• 50 Years of Quantum Chromodynamics
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• Spin-dependent potentials from lattice QCD
• Inclusive Decays of Heavy Quarkonium to Light Particles
• Poincare' invariance constraints on NRQCD and potential NRQCD
• Lorentz invariance in heavy particle effective theories
• S-D Mixing and Searching for the psi(1P1) State at the Beijing Electron-Positron Coolider
• Effective string theory constraints on the long distance behavior of the subleading potentials
• Relativity constraints on the two-nucleon contact interaction
• Effective string theory and the long-range relativistic corrections to the quark-antiquark potential
• Confinement Mechanism in the Field Correlator Method
• Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Effective Field Theories for Heavy Quarkonium
• Non-relativistic and potential non-relativistic effective field theories for scalar mediators
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Poincaré invariance in NRQCD and pNRQCD revisited
• Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances
• Renormalization approach to constituent quark models of Quarkonium
• Chiral symmetry breaking and the Lorentz nature of confinement
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Model Independent Results for Heavy Quarkonium