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

Stanley J. Brodsky

John R. Hiller

Gary McCartor

  • Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309

  • Department of Physics, University of Minnesota, Duluth, Minnesota 55812

  • Department of Physics, Southern Methodist University, Dallas, Texas 75275

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Phys. Rev. D 58, 025005 – Published 11 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.025005

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.

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Phys. Rev. D 58, 025005– Published 11 June, 1998
  • Received 18 February 1998

© 1998 American Physical Society

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