Numerical Solution of the One Pair Equation in the Massive Schwinger Model

Ma, Yamin; Hiller, John R.

doi:10.1016/0021-9991(89)90044-2

Numerical Solution of the One Pair Equation in the Massive Schwinger Model

Yamin Ma
(
- Minnesota U., Duluth
)
,
John R. Hiller
(
- Minnesota U., Duluth
)

Jul, 1987

20 pages

Published in:

J.Comput.Phys. 82 (1989) 229-240

DOI:

10.1016/0021-9991(89)90044-2

Report number:

Print-88-0654 (MINNESOTA,DULUTH)

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Abstract: (Elsevier)

We describe various numerical methods for the solution of the one-pair light-cone equation in the massive Schwinger model. Results obtained by these methods, and by others, are compared. Possible extensions to the coupled set of one-pair and two-pair equations are discussed.

FIELD THEORETICAL MODEL: SCHWINGER
MASSIVE
INTEGRAL EQUATIONS: SOLUTION
ENERGY SPECTRUM
NUMERICAL MATHEMATICS

References(12)

Figures(0)

Gauge Invariance and Mass. 2.

Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 128 (1962) 2425-2429,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 43-47
•
DOI:
- 10.1103/PhysRev.128.2425

Two-Dimensional Yang-Mills Theory: A Model of Quark Confinement

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
Nigel Coote
(
- Princeton U.
)
,
David J. Gross
(
- Princeton U.
)

- Phys.Rev.D 13 (1976) 1649
•
DOI:
- 10.1103/PhysRevD.13.1649

Forms of Relativistic Dynamics

Paul A.M. Dirac
(
- Cambridge U.
)

- Rev.Mod.Phys. 21 (1949) 392-399,
- Also in *Noz, M.E. (ed.), Kim, Y.S. (ed.): Special Relativity and Quantum Theory* 219-226
•
DOI:
- 10.1103/RevModPhys.21.392

A Two-Dimensional Model for Mesons

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 75 (1974) 461-470
•
DOI:
- 10.1016/0550-3213(74)90088-1

- JETP Lett. 20 225

Two-Dimensional SU(N) Gauge Theory, Strings and Wings: Comparative Analysis of Meson Spectra and Covariance

- Nucl.Phys.B 121 (1977) 477-504
•
DOI:
- 10.1016/0550-3213(77)90167-5

Discretized Light Cone Quantization: The Massless and the Massive Schwinger Model

- Phys.Rev.D 35 (1987) 1493
•
DOI:
- 10.1103/PhysRevD.35.1493

- Q.Appl.Math. 29 525

- Bit 14 14

- Quart.J.Math.Oxford Ser. 37 325

- Appl.Math.Comput. 15 47

Physical Particles of the Massive Schwinger Model

Hugh Bergknoff
(
- Cornell U., LNS
)

- Nucl.Phys.B 122 (1977) 215-236
•
DOI:
- 10.1016/0550-3213(77)90204-8