Sj. Brodsky et al., PAULI-VILLARS REGULATOR AS A NONPERTURBATIVE ULTRAVIOLET REGULARIZATION SCHEME IN DISCRETIZED LIGHT-CONE QUANTIZATION - ART. NO. 025005, Physical review. D. Particles and fields, 5802(2), 1998, pp. 5005
We propose a solution to the problem of renormalizing light-cone Hamil
tonian theories while maintaining Lorentz invariance and other symmetr
ies. The method uses generalized Pauli-Villars regulators to render th
e theory finite. We discuss the method in the context of Yukawa theory
at one loop acid for a soluble model in 3 + 1 dimensions. The model i
s studied nonperturbatively. Numerical results obtained with use of di
scretized light-cone quantization, special integration weighting facto
rs, and the complex symmetric Lanczos diagonalization algorithm compar
e well with the analytic answers. [S0556-2821(98)01714-7].