PAULI-VILLARS REGULATOR AS A NONPERTURBATIVE ULTRAVIOLET REGULARIZATION SCHEME IN DISCRETIZED LIGHT-CONE QUANTIZATION - ART. NO. 025005

Citation
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
Citations number
50
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
5802
Issue
2
Year of publication
1998
Database
ISI
SICI code
0556-2821(1998)5802:2<5005:PRAANU>2.0.ZU;2-9
Abstract
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].