Auxiliary fields and hadron dynamics

Abstract

The relations existing between the auxiliary field (einbein field) formalism and the spinless Salpeter equation are studied in the case of two particles with the same mass, interacting via a confining potential. The problem of non-orthogonality for radial excited states in the auxiliary field formalism is discussed and found to be non-crucial. It is shown that the classical equations of motion of the rotating string model, derived from the QCD lagrangian, reduce exactly to the classical equations of motion of the phenomenological semirelativistic flux tube model, provided all auxiliary fields are eliminated correctly from the rotating string hamiltonian.

References in corpus (6)

• Rotating QCD string and the meson spectrum
• Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels
• The 3-dimensional Fourier grid Hamiltonian method
• The heavy baryons in the nonperturbative string approach
• Semi-Relativistic Hamiltonians of Apparently Nonrelativistic Form
• Quantum three body problems using harmonic oscillator bases with different sizes

Cited by in corpus (31)

• Semirelativistic potential model for glueball states
• On two- and three-body descriptions of hybrid mesons
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Meson and glueball spectra with the relativistic flux tube model
• Casimir scaling, glueballs and hybrid gluelumps
• Lagrange mesh, relativistic flux tube, and rotating string
• Hybrid mesons and auxiliary fields
• Semirelativistic potential model for three-gluon glueballs
• Glueball phenomenology and the relativistic flux tube model
• Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
• Semirelativistic potential model for low-lying three-gluon glueballs
• Auxiliary fields and the flux tube model
• Quark self-energy and relativistic flux tube model
• The auxiliary field method in quantum mechanics
• Semirelativistic Hamiltonians and the auxiliary field method
• Extensions of the auxiliary field method to solve Schrödinger equations
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Eigenstates with the auxiliary field method
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Accuracy of Auxiliary Field Approach for Baryons
• Bound state equivalent potentials with the Lagrange mesh method
• Mass Formula for Light Nonstrange Mesons and Regge Trajectories in Quark Model
• Relativistic corrections for two- and three-body flux tube model
• Pentaquarks $uudd\bar{q}$ with One Color Sextet Diquark
• Retardation effects in the rotating string model
• Covariant oscillator quark model for glueballs and baryons
• Lagrange-mesh calculations and Fourier transform
• Envelope Theory for Systems with Different Particles
• String deformations induced by retardation effects
• Pentaquarks in string dynamics
• Pentaquarks in the Jaffe-Wilczek approximation