<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math></span> matrix of (1+1)-dimensional QED: Towards the continuum limit on the lattice

Jean François Brière; Helmut Kröger

doi:10.1103/PhysRevD.41.3197

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$S$ matrix of (1+1)-dimensional QED: Towards the continuum limit on the lattice

Jean François Brière and Helmut Kröger

Département de Physique, Université Laval, Québec, Provence de Québec, Canada G1K 7P4

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Phys. Rev. D 41, 3197 – Published 15 May, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3197

Abstract

We study (1+1)-dimensional QED, which confines single fermions. After introducing Coulomb screening of the interaction, free single fermions can exist asymptotically and we compute the fermion-antifermion scattering. We use the light-cone momentum representation on a lattice and a nonperturbative time-dependent method to compute the $S$ matrix. We present numerical results on the $S$ matrix for fermion-antifermion scattering and investigate the approach towards the continuum limit.

References (16)

J. F. Brière and H. Kröger, Phys. Lett. B 217, 215 (1989)
J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N. Y.) 68, 172 (1971)
A. Casher, J. Kogut, and L. Susskind, Phys. Rev. Lett. 31, 792 (1973) Phys. Rev. D 10, 732 (1974)
S. Coleman, R. Jackiw, and L. Susskind, Ann. Phys. (N. Y.) 93, 267 (1975) S. Coleman, ibid. 101, 239 (1976)
J. F. Brière and H. Kröger, Phys. Rev. Lett. 63, 848 (1989)
E. Dagotto and H. W. Wyld, Phys. Lett. B 205, 73 (1988)
T. Eller, H. C. Pauli, and S. J. Brodsky, Phys. Rev. D 35, 1493 (1987)
H. Kröger, K. J. M. Moriarty, and J. Potvin, Univesité Laval Report No. LAVAL-PHY-89/6 (unpublished)
J. Schwinger, Phys. Rev. 125, 397 (1962) ibid.128, 2425 (1962)
H. C. Pauli and S. J. Brodsky, Phys. Rev. D 32, 1993 (1985) ibid.32, 2001 (1985)
A. Harindranath and J. P. Vary, Phys. Rev. D 36, 1141 (1987) ibid.37, 3010 (1988)
R. S. Wittman, Indiana University Nuclear Theory Center Report No. IUNTC-88-21 (unpublished)
H. Kröger, R. Girard, and G. Dufour, Phys. Rev. D 35, 3944 (1987)
R. Girard and H. Kröger, Z. Phys. C 37, 365 (1988)
S. J. Chang, Phys. Rev. D 7, 1147 (1973)
M. Creutz, L. Jacobs, and C. Rebbi, Phys. Rep. 95, 201 (1983)

[c1] J. F. Brière and H. Kröger, Phys. Lett. B 217, 215 (1989)

[c2] J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N. Y.) 68, 172 (1971)

[c3] A. Casher, J. Kogut, and L. Susskind, Phys. Rev. Lett. 31, 792 (1973) Phys. Rev. D 10, 732 (1974)

[c4] S. Coleman, R. Jackiw, and L. Susskind, Ann. Phys. (N. Y.) 93, 267 (1975) S. Coleman, ibid. 101, 239 (1976)

[c5] J. F. Brière and H. Kröger, Phys. Rev. Lett. 63, 848 (1989)

[c6] E. Dagotto and H. W. Wyld, Phys. Lett. B 205, 73 (1988)

[c7] T. Eller, H. C. Pauli, and S. J. Brodsky, Phys. Rev. D 35, 1493 (1987)

[c8] H. Kröger, K. J. M. Moriarty, and J. Potvin, Univesité Laval Report No. LAVAL-PHY-89/6 (unpublished)

[c9] J. Schwinger, Phys. Rev. 125, 397 (1962) ibid.128, 2425 (1962)

[c10] H. C. Pauli and S. J. Brodsky, Phys. Rev. D 32, 1993 (1985) ibid.32, 2001 (1985)

[c11] A. Harindranath and J. P. Vary, Phys. Rev. D 36, 1141 (1987) ibid.37, 3010 (1988)

[c12] R. S. Wittman, Indiana University Nuclear Theory Center Report No. IUNTC-88-21 (unpublished)

[c13] H. Kröger, R. Girard, and G. Dufour, Phys. Rev. D 35, 3944 (1987)

[c14] R. Girard and H. Kröger, Z. Phys. C 37, 365 (1988)

[c15] S. J. Chang, Phys. Rev. D 7, 1147 (1973)

[c16] M. Creutz, L. Jacobs, and C. Rebbi, Phys. Rep. 95, 201 (1983)

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$S$ matrix of (1+1)-dimensional QED: Towards the continuum limit on the lattice

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S matrix of (1+1)-dimensional QED: Towards the continuum limit on the lattice

Abstract

References (16)

$S$ matrix of (1+1)-dimensional QED: Towards the continuum limit on the lattice