This article gives a pedagogical introduction to relaxation methods for the numerical solution
of elliptic partial differential equations, with particular emphasis on treating nonlinear …

Recent work on algebraic chromodynamics has indicated the importance of a systematic
study of quaternion structures in quantum mechanics. A quaternionic Hilbert module, a …

I propose a simple set of equations for mean-field non-Abelian statics with c-number
sources, at general inverse temperature β, working from the Euclidean path-integral …

The conventional definition of the running coupling α MS (μ) in quantum chromodynamics is
based on a solution to the renormalization group equations which treats quarks as either …

The effective Coulomb interaction between sources with SU (2) color charge is
reinvestigated at the one-loop order of perturbation theory. This quantity is shown to be …

Working within a limited Fock-space approximation (LFSA), we argue that if the running
coupling constant of quantum chromodynamics (QCD) exceeds a critical value of order 1 the …

In this paper we construct the perturbative expansion for the Feynman propagation kernel of
a Yang-Mills theory in the A 0= 0 gauge in any external charge sector, by using the …

The screening nature of the potential between external quarks in massless SU (Nc) QCD2 is
derived using an expansion in Nf-the number of flavors. Applying the same method to the …

It is shown that the Gel'fand-Naimark-Segal (GNS) construction can be generalized to real
B*-algebras containing an algebra*-isomorphic to the quaternion algebra by the use of …

I review and update the ideas on classical quark statics developed in two previous papers,
with an emphasis on the Euclidean spacetime formulation of the equilibrium field equations …