Two-meron configurations in the transverse gauge

R. Kaul; E. Takasugi; P. Valanju

doi:10.1103/PhysRevD.19.3062

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Two-meron configurations in the transverse gauge

R. Kaul, E. Takasugi, and P. Valanju

Center for Particle Theory, Department of Physics, University of Texas, Austin, Texas 78712

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Phys. Rev. D 19, 3062 – Published 15 May, 1979

DOI: https://doi.org/10.1103/PhysRevD.19.3062

Abstract

The de Alfaro-Fubini-Furlan meron-antimeron and meron-meron configurations in SU(2) Yang-Mills gauge theory have been studied in the Coulomb gauge. The transverse meron-antimeron configurations, which have net topological charge zero, have been demonstrated to connect Gribov vacuums with topological charges ±½ at Euclidean time $t \to - \infty$ to Gribov vacuums with topological charges ±½, respectively, at Euclidean time $t \to + \infty$ . On the other hand, the transverse meron-meron (antimeron-antimeron) configuration, with net topological charge 1 (- 1), has been argued to connect Gribov vacuum with topological charge -½ (+½) to Gribov vacuum with charge +½ (-½) as Euclidean time goes from $- \infty to + \infty$ .

References (15)

V. N. Gribov, H. D. I. AbarbanelLecture at the 12th Winter School of the Leningrad Nuclear Physics Institute, 1977, , SLAC Report No. SLAC-TRANS-176 (unpublished)
C. M. Bender, T. Eguchi, and H. Pagels, Phys. Rev. D 17, 1086 (1978)
J. P. Greensite, Phys. Rev. D 18, 3842 (1978)
R. Jackiw, Talk given at Coral Gables, Florida, 1978 (unpublished)
S. Scuito, Phys. Lett. 71B, 129 (1977) L. F. Abbott and T. Eguchi, ibid. 72B, 215 (1977)
M. Ademollo, E. Napolitano, and S. Sciuto, Nucl. Phys. B134, 477 (1978)
R. Jackiw, I. Muzinich, and C. Rebbi, Phys. Rev. D 17, 1576 (1978)
C. Chiu, R. Kaul, and E. Takasugi, Phys. Lett. 76B, 615 (1978)
H. Pagels, Talk given at Coral Gables, Florida, 1978 (unpublished)
S. Sciuto, Lecture at the Winter Workshop, Les Houches, 1978 (unpublished)
A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, Phys. Lett. 59B, 85 (1975)
V. de Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 65B, 163 (1976)
V. de Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 72B, 203 (1977) ibid.73B, 463 (1978)
S. Wadia and T. Yoneya, Phys. Lett. 66B, 341 (1977)
C. G. Callan, R. Dashen, and D. Gross, Phys. Lett. 77B, 270 (1978)

[c1] V. N. Gribov, H. D. I. AbarbanelLecture at the 12th Winter School of the Leningrad Nuclear Physics Institute, 1977, , SLAC Report No. SLAC-TRANS-176 (unpublished)

[c2] C. M. Bender, T. Eguchi, and H. Pagels, Phys. Rev. D 17, 1086 (1978)

[c3] J. P. Greensite, Phys. Rev. D 18, 3842 (1978)

[c4] R. Jackiw, Talk given at Coral Gables, Florida, 1978 (unpublished)

[c5] S. Scuito, Phys. Lett. 71B, 129 (1977) L. F. Abbott and T. Eguchi, ibid. 72B, 215 (1977)

[c6] M. Ademollo, E. Napolitano, and S. Sciuto, Nucl. Phys. B134, 477 (1978)

[c7] R. Jackiw, I. Muzinich, and C. Rebbi, Phys. Rev. D 17, 1576 (1978)

[c8] C. Chiu, R. Kaul, and E. Takasugi, Phys. Lett. 76B, 615 (1978)

[c9] H. Pagels, Talk given at Coral Gables, Florida, 1978 (unpublished)

[c10] S. Sciuto, Lecture at the Winter Workshop, Les Houches, 1978 (unpublished)

[c11] A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, Phys. Lett. 59B, 85 (1975)

[c12] V. de Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 65B, 163 (1976)

[c13] V. de Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 72B, 203 (1977) ibid.73B, 463 (1978)

[c14] S. Wadia and T. Yoneya, Phys. Lett. 66B, 341 (1977)

[c15] C. G. Callan, R. Dashen, and D. Gross, Phys. Lett. 77B, 270 (1978)

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Two-meron configurations in the transverse gauge

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