139 research outputs found
On confinement in a light-cone Hamiltonian for QCD
The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in
3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an
effective Hamiltonian which acts only in the Fock space of a quark and an
antiquark. Emphasis is put on the many-body aspects of gauge field theory, and
it is shown explicitly how the higher Fock-space amplitudes can be retrieved
self-consistently from solutions in the -space. The approach is based
on the novel method of iterated resolvents and on discretized light-cone
quantization driven to the continuum limit. It is free of the usual
perturbative Tamm-Dancoff truncations in particle number and coupling constant
and respects all symmetries of the Lagrangian including covariance and gauge
invariance. Approximations are done to the non-truncated formalism. Together
with vertex as opposed to Fock-space regularization, the method allows to apply
the renormalization programme non-perturbatively to a Hamiltonian. The
conventional QCD scale is found arising from regulating the transversal
momenta. It conspires with additional mass scales to produce possibly
confinement.Comment: 15 pages, LaTeX2e, macro svjour included in uu-file 5 figures,
ps-files included in uu-fil
Renormalization of an effective model Hamiltonian by a counter term
An ill-defined integral equation for modeling the mass-spectrum of mesons is
regulated with an additional but unphysical parameter. This parameter
dependance is removed by renormalization. Illustrative graphical examples are
given.Comment: 3 pages, 3 figures, 1 reference. to be published in Nucl. Phys. B
(Proc. Suppl.) Talk presented at the Workshop "Light-cone Physics: Particles
and Strings" at ECT* in Trento, Sep 3-11, 200
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