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

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

Stanley J. Brodsky
(
- SLAC
)
,
John R. Hiller
(
- Minnesota U., Duluth
)
,
Gary McCartor
(
- Southern Methodist U.
)

Jul, 2001

28 pages

Published in:

Phys.Rev.D 64 (2001) 114023

e-Print:

hep-ph/0107038 [hep-ph]

DOI:

10.1103/PhysRevD.64.114023

Report number:

SLAC-PUB-8890,
UMN-D-01-4,
SMU-HEP-01-07

View in:

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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.

model: Yukawa
quantization: light cone
discrete
regularization: Pauli-Villars
wave function
nonperturbative
renormalization
numerical calculations
bibliography

References(57)

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