20 research outputs found
Application of Pauli-Villars Regularization and Discretized Light-Cone Quantization to a (3+1)-Dimensional Model
We apply Pauli-Villars regularization and discrete light-cone quantization to
the nonperturbative solution of a (3+1)-dimensional model field theory. The
matrix eigenvalue problem is solved for the lowest-mass state with use of the
complex symmetric Lanczos algorithm. This permits the calculation of each
Fock-sector wave function, and from these we obtain values for various
quantities, such as average multiplicities and average momenta of constituents,
structure functions, and a form factor slope.Comment: RevTex, 27 page
Light Front Quantization
An introductory overview on Light-Front quantization, with some emphasis on
recent achievements, is given. Light-Front quantization is the most promising
and physical tool to study deep inelastic scattering on the basis of quark
gluon degrees of freedom. The simplified vacuum structure (nontrivial vacuum
effects can only appear in zero-mode degrees of freedom) and the physical basis
allows for a description of hadrons that stays close to intuition. Recent
progress has ben made in understanding the connection between effective LF
Hamiltonians and nontrivial vacuum condesates. Discrete Light-Cone
Quantization, the transverse lattice and Light-Front Tamm-Dancoff (in
combination with renormalization group techniques) are the main tools for
exploring LF-Hamiltonians nonperturbatively.Comment: LATEX, 87 pages, postscript files for the figures or a postscript
file for the complete article (900 kB) available from the autho