West's proof of confinement and two-dimensional models

T. E. Clark; S. T. Love

doi:10.1103/PhysRevD.25.2673

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West's proof of confinement and two-dimensional models

T. E. Clark

S. T. Love

Department of Physics, Purdue University, West Lafayette, Indiana 47907

Max-Planck-Institut für Physik und Astrophysik, Munich, Federal Republic of Germany and Department of Physics, Purdue University, West Lafayette, Indiana 47907

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Phys. Rev. D 25, 2673 – Published 15 May, 1982

DOI: https://doi.org/10.1103/PhysRevD.25.2673

Abstract

West's proof of confinement by contradiction is studied for the unconfined $SU (N)$ Gross-Neveu model to leading order in $\frac{1}{N}$ and for the confining Schwinger model. In both cases, we find that the contradiction found by West for four-dimensional QCD is averted.

References (10)

G. B. West, Phys. Rev. Lett. 46, 1365 (1981)
J. M. Cornwall and G. Tiktopoulos, Phys. Rev. D 13, 3370 (1976)
D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974)
A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. 72B, 481 (1978) M. Karowski and H. J. Thun, Nucl. Phys. B190, 61 (1981)
C. P. Korthals Altes and E. de Rafael, Nucl. Phys. B106, 237 (1976)
J. Schwinger, Phys. Rev. 128, 2425 (1962) in Proceedings of the Seminar on Theoretical Physics, Trieste, 1962 (IAEA, Vienna, 1963), p. 89
G. B. West, Phys. Rev. Lett. 27, 762 (1971)
F. Cooper and H. Pagels, Phys. Rev. D 2, 228 (1970)
M. Karowski and P. Weisz, Nucl. Phys. B139, 455 (1978)
L. S. Brown Nuovo Cimento 29, 617 (1963)

[c1] G. B. West, Phys. Rev. Lett. 46, 1365 (1981)

[c2] J. M. Cornwall and G. Tiktopoulos, Phys. Rev. D 13, 3370 (1976)

[c3] D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974)

[c4] A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. 72B, 481 (1978) M. Karowski and H. J. Thun, Nucl. Phys. B190, 61 (1981)

[c5] C. P. Korthals Altes and E. de Rafael, Nucl. Phys. B106, 237 (1976)

[c6] J. Schwinger, Phys. Rev. 128, 2425 (1962) in Proceedings of the Seminar on Theoretical Physics, Trieste, 1962 (IAEA, Vienna, 1963), p. 89

[c7] G. B. West, Phys. Rev. Lett. 27, 762 (1971)

[c8] F. Cooper and H. Pagels, Phys. Rev. D 2, 228 (1970)

[c9] M. Karowski and P. Weisz, Nucl. Phys. B139, 455 (1978)

[c10] L. S. Brown Nuovo Cimento 29, 617 (1963)

Physical Review D

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West's proof of confinement and two-dimensional models

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References (10)

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