# Application of Pauli-Villars regularization and discretized light-cone quantization to a (3+1)-dimensional model

## Abstract

We apply Pauli-Villars regularization and discrete light-cone quantization to the nonperturbative solution of a (3+1)-dimensional model field theory. The matrix eigenvalue problem is solved for the lowest-mass state with use of the complex symmetric Lanczos algorithm. This permits the calculation of each Fock-sector wave function, and from these we obtain values for various quantities, such as average multiplicities and average momenta of constituents, structure functions, and a form factor slope. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
- Department of Physics, University of Minnesota, Duluth, Minnesota 55812 (United States)
- Department of Physics, Southern Methodist University, Dallas, Texas 75275 (United States)

- Publication Date:

- OSTI Identifier:
- 362732

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; LIGHT CONE; QUANTIZATION; QUANTUM FIELD THEORY; EIGENVALUES; QUANTUM CHROMODYNAMICS; WAVE FUNCTIONS; STRUCTURE FUNCTIONS; FORM FACTORS

### Citation Formats

```
Brodsky, S.J., Hiller, J.R., and McCartor, G.
```*Application of Pauli-Villars regularization and discretized light-cone quantization to a (3+1)-dimensional model*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevD.60.054506.

```
Brodsky, S.J., Hiller, J.R., & McCartor, G.
```*Application of Pauli-Villars regularization and discretized light-cone quantization to a (3+1)-dimensional model*. United States. doi:10.1103/PhysRevD.60.054506.

```
Brodsky, S.J., Hiller, J.R., and McCartor, G. Wed .
"Application of Pauli-Villars regularization and discretized light-cone quantization to a (3+1)-dimensional model". United States. doi:10.1103/PhysRevD.60.054506.
```

```
@article{osti_362732,
```

title = {Application of Pauli-Villars regularization and discretized light-cone quantization to a (3+1)-dimensional model},

author = {Brodsky, S.J. and Hiller, J.R. and McCartor, G.},

abstractNote = {We apply Pauli-Villars regularization and discrete light-cone quantization to the nonperturbative solution of a (3+1)-dimensional model field theory. The matrix eigenvalue problem is solved for the lowest-mass state with use of the complex symmetric Lanczos algorithm. This permits the calculation of each Fock-sector wave function, and from these we obtain values for various quantities, such as average multiplicities and average momenta of constituents, structure functions, and a form factor slope. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevD.60.054506},

journal = {Physical Review, D},

number = 5,

volume = 60,

place = {United States},

year = {1999},

month = {9}

}

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