Application of Pauli--Villars Regularization and Discretized Light-Cone Quantization to a Single-Fermion Truncation of Yukawa Theory

Technical Report · Wed Jul 25 00:00:00 EDT 2001

DOI:https://doi.org/10.2172/787191· OSTI ID:787191

Brodsky, Stanley J

We apply Pauli-Villars regularization and discrete 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.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 787191
• Report Number(s): SLAC-PUB-8890; TRN: US0110459
• Resource Relation: Other Information: PBD: 25 Jul 2001
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FERMIONS
YUKAWA NONLOCAL THEORY
EIGENVALUES
FORM FACTORS
LIGHT CONE
QUANTIZATION
SCALARS
STRUCTURE FUNCTIONS
WAVE FUNCTIONS