Pauli--Villars as a Nonperturbative Ultraviolet Regulator in Discretized Light-Cone Quantization

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 3+1 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.

RevTex, 34 pages

References in corpus (2)

• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• The Lamb Shift in a Light Front Hamiltonian Approach

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