The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars regulated Yukawa interactions - INSPIRE

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The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars regulated Yukawa interactions

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

Sep, 2002

19 pages

Published in:

Annals Phys. 305 (2003) 266-285

e-Print:

hep-th/0209028 [hep-th]

DOI:

10.1016/S0003-4916(03)00063-0

Report number:

SLAC-PUB-9482,
UMN-D-02-3,
SMU-HEP-02-01,
SMUHEP-02-01

View in:

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Abstract:

We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.

Note:

Revision includes new title, expanded introduction, and new Figs. 1 & 2

field theory: scalar
fermion
coupling: Yukawa
quantization: light front
Hamiltonian formalism
phase space
perturbation theory: higher-order
regularization: Pauli-Villars
mass
wave function

References(31)

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