Pauli-Villars regularization in DLCQ

Details Pauli-Villars regularization in DLCQ Pauli-Villars regularization in DLCQ

1999-08-13

arxiv.org/abs/hep-ph/9908354v1

AIP Conf.Proc.494:252-257,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 1 figure; LaTeX, aiproc.sty, epsf.sty; to appear in the proceedings of the Eleventh International Light-Cone Workshop

Scientific paper

10.1063/1.1301668

Calculations in a (3+1)-dimensional model indicate that Pauli-Villars regularization can be combined with discrete light-cone quantization (DLCQ) to solve at least some field theories nonperturbatively. Discrete momentum states of Pauli-Villars particles are included in the Fock basis to automatically generate needed counterterms; the resultant increase in basis size is found acceptable. The Lanczos algorithm is used to extract the lowest massive eigenstate and eigenvalue of the light-cone Hamiltonian, with basis sizes ranging up to 10.5 million. Each Fock-sector wave function is computed in this way, and from these one can obtain values for various quantities, such as average multiplicities and average momenta of constituents, structure functions, and a form-factor slope.

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