×
Osborn, H.

Semiclassical functional integrals for self-dual gauge fields. (English) Zbl 0479.58022

Ann. Phys. 135, 373-415 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0479.58022

Cited in 30 Documents

MSC:

58J90 Applications of PDEs on manifolds
53B50 Applications of local differential geometry to the sciences
81T17 Renormalization group methods applied to problems in quantum field theory
53C80 Applications of global differential geometry to the sciences
81T99 Quantum field theory; related classical field theories

Keywords:

normalisation matrix; semi-classical approximation to the functional integral for Euclidean gauge theories on a compact four-dimensional manifold; limit from a compact space to flat space; zero modes corresponding to global gauge transformations; HJNR parametrization; ADHM formalism; multi-instantons functional determinant
Cite Review PDF
Full Text: DOI

References:

[1] Belavin, A. A.; Polyakov, A. M.; Schwarz, A. S.; Tyupkin, Yu. S., Phys. Lett. B, 59, 85 (1975)
[2] Callan, C.; Dashen, R.; Gross, D., Phys. Lett. B, 63, 334 (1976)
[3] Witten, E., Nucl. Phys. B, 56, 269 (1979)
[4] Coleman, S., The uses of instantons, (Zichichi, A., The Why’s of Subnuclear Physics: Proceedings of the 1977 International Enrico Fermi School of Physics (1979), Plenum: Plenum New York)
[5] Cotta-Ramusino, P.; Dell’Antonio, G., Comm. Math. Phys., 70, 75 (1979)
[6] Uhlenbeck, K. K., Bull. Amer. Math. Soc., 1, 579 (1979) · Zbl 0416.35026
[7] ’t Hooft, G., Phys. Rev. D, 18, 2199 (1978), (E)
[8] Shore, G. M., Ann. Phys. (N.Y.), 122, 321 (1979)
[9] Bernard, C., Phys. Rev. D, 19, 3013 (1979)
[10] Palmer, W. F.; Pinsky, S. S., Particles and Fields, 3, 209 (1980)
[11] Callan, C. G.; Dashen, R.; Gross, D. J., Phys. Rev. D, 17, 2717 (1978)
[12] Ilgenfritz, E.-M.; Kazakov, D. I.; Mueller-Preussker, M., Phys. Lett. B, 87, 242 (1979)
[13] Y. Hosotani and H. YamagishiY. Hosotani; Y. Hosotani and H. YamagishiY. Hosotani
[14] Polyakov, A. M., Nucl. Phys. B, 120, 429 (1977)
[15] Witten, E., Nucl. Phys. B, 149, 285 (1979)
[16] Jevicki, A., Phys. Rev. D, 20, 3331 (1979)
[17] Affleck, I., Phys. Lett. B, 171, 420 (1980)
[18] Berg, B.; Luscher, M., Comm. Math. Phys., 69, 57 (1979) · Zbl 1092.82501
[19] Drinfeld, V. G.; Manin, Yu. I., Comm. Math. Phys., 63, 177 (1978) · Zbl 0407.22017
[20] Berg, B.; Stehr, J., Nucl. Phys. B, 175, 293 (1980)
[21] Goddard, P.; Mansfield, P.; Osborn, H., Phys. Lett. B, 98, 59 (1981)
[22] Bernard, C. W.; Christ, N. H.; Guth, A. H.; Weinberg, E., Phys. Rev. D, 16, 2967 (1977)
[23] Jackiw, R.; Nohl, C.; Rebbi, C., Phys. Rev. D, 15, 1642 (1977)
[24] Christ, N. H.; Weinberg, E.; Stanton, N. K., Phys. Rev. D, 18, 2013 (1978)
[25] Belavin, A. A.; Fateev, V. A.; Schwarz, A. S.; Tyupkin, Yu. S., Phys. Lett. B, 83, 317 (1979)
[26] Luscher, M., (’t Hooft, G., Recent Developments in Gauge Theories. Recent Developments in Gauge Theories, Proceedings, 1979 Nato Advanced Study Institute in Cargèse (1980), Plenum: Plenum New York)
[27] Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I., Nucl. Phys. B, 147, 385 (1979)
[28] Nahm, W., Phys. Lett. B, 96, 323 (1980)
[29] M. F. Atiyah; M. F. Atiyah
[30] Abers, E. S.; Lee, B. W., Phys. Rep. C, 9, 1 (1973)
[31] Schwarz, A. S., Comm. Math. Phys., 64, 233 (1979) · Zbl 0406.58032
[32] D’Adda, A.; di Vecchia, P., Phys. Lett. B, 73, 162 (1978)
[33] Rouhani, S., Nucl. Phys. B, 182, 462 (1981)
[34] Hortacsu, M.; Roth, K. D.; Schroer, B., Nucl. Phys. B, 171, 530 (1980)
[35] Corrigan, E.; Fairlie, D. B.; Goddard, P.; Templeton, S., Nucl. Phys. B, 140, 31 (1978)
[36] Osborn, H., Nucl. Phys. B, 140, 45 (1978)
[37] Corrigan, E.; Goddard, P.; Templeton, S., Nucl. Phys. B, 151, 93 (1979)
[38] E. Corrigan; E. Corrigan
[39] E. Corrigan and P. Goddard; E. Corrigan and P. Goddard · Zbl 0535.58025
[40] Bernard, C., Phys. Rev. D, 18, 2026 (1978)
[41] Daniel, M., Comm. Math. Phys., 73, 95 (1980) · Zbl 0451.35098
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.