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

S. J. Brodsky·J. R. Hiller·G. McCartor
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Abstract

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.

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S. J. Brodsky, J. R. Hiller, G. McCartor. 2001-10-26. Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory. https://doi.org/10.1103/physrevd.64.114023

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