arXiv subjects
Publications and source records attributed to T. J. Fields.
Starting from the QCD Lagrangian, we present the QCD Hamiltonian for near light cone coordinates. We study the dynamics of the gluonic zero modes of this Hamiltonian. The strong coupling solutions serve as a basis for the complete problem. We discuss the importance of zero modes for the confinement mechanism.
We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any specific kinematics. We show how to calculate the beta function within this context and exhibit our method using simple scale--invariant quantum mechanical systems.
We examine QED$_{1+1}$ (the massive Schwinger model) to extend existing perturbation results in $m_f/m_b$, and compare our results with lattice and DLCQ calculations. (Based on a talk presented by J.P. Vary at ``Theory of Hadrons and Light-Front QCD'', Polona Zgorzelisko, Poland, August 1994.)