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 language | English (US) |
---|---|
Article number | 025005 |
Pages (from-to) | 250051+2500516 |
Number of pages | 1 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 58 |
Issue number | 2 |
DOIs | |
State | Published - 1998 |