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Phys. Rev. D 64, 114023 (2001) [13 pages]

Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory

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Stanley J. Brodsky
Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309

John R. Hiller
Department of Physics, University of Minnesota–Duluth, Duluth, Minnesota 55812

Gary McCartor
Department of Physics, Southern Methodist University, Dallas, Texas 75275

Received 5 July 2001; published 12 November 2001

We apply Pauli-Villars regularization and discretized light-cone quantization to the nonperturbative solution of (3+1)-dimensional Yukawa theory in a single-fermion truncation. Three heavy scalars, including two with negative norm, are used to regulate the theory. The matrix eigenvalue problem is solved for the lowest-mass state with use of a new, indefinite-metric Lanczos algorithm. Various observables are extracted from the wave functions, including average multiplicities and average momenta of constituents, structure functions, and a form factor slope.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.114023
DOI:
10.1103/PhysRevD.64.114023
PACS:
12.38.Lg, 02.60.Nm, 11.10.Gh, 11.15.Tk