Pauli-Villars regulator as a nonperturbative ultraviolet regularization scheme in discretized light-cone quantization

Stanley Brodsky, John Hiller, Gary McCartor

Research output: Contribution to journalArticle

65 Scopus citations

Abstract

We propose a solution to the problem of renormalizing light-cone Hamiltonian theories while maintaining Lorentz invariance and other symmetries. The method uses generalized Pauli-Villars regulators to render the theory finite. We discuss the method in the context of Yukawa theory at one loop and for a soluble model in (Formula presented) dimensions. The model is studied nonperturbatively. Numerical results obtained with use of discretized light-cone quantization, special integration weighting factors, and the complex symmetric Lanczos diagonalization algorithm compare well with the analytic answers.

Original languageEnglish (US)
Article number025005
Pages (from-to)250051+2500516
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number2
DOIs
StatePublished - 1998

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