Relativistic Bound-State Problem

The Relativistic Bound State Problem in QCD: Transverse Lattice Methods

The formalism for describing hadrons using a light-cone Hamiltonian of SU(N) gauge theory on a coarse transverse lattice is reviewed. Physical gauge degrees of freedom are represented by disordered flux fields on the links of the lattice. A renormalised light-cone Hamiltonian is obtained by making a colour-dielectric expansion for the link-field interactions. Parameters in the Hamiltonian are r...

The Relativistic and Non Relativistic Quark-antiquark Bound State Problem in a Wilson Loop Context

The paper is on the line of the path integral technique developped in preceding articles. Taking advantage of a semirelativistic and a full relativistic representation of the quark propagator in an external field we present an unified derivation of the semirelativistic potential and of a Bethe–Salpeter like equation for the quark– antiquark system. We consider three different models for the eva...

Bound State Problem Solution

Relativistic bound-state equations in three dimensions.

Firstly, a systematic procedure is derived for obtaining three-dimensional bound-state equations from four-dimensional ones. Unlike “quasi-potential approaches” this procedure does not involve the use of delta-function constraints on the relative four-momentum. In the absence of negative-energy states, the kernels of the three-dimensional equations derived by this technique may be represented a...

Relativistic quark-antiquark bound-state problem with spin-dependent interactions in momentum space.

The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we can solve the two-body problem in momentum space with spin-dependent interactions. The form of the potential is a combination of linear+Coulomb+spin-spin+sp...