Schwarz, A. S. Instantons and fermions in the field of instanton. (English) Zbl 0406.58032 Commun. Math. Phys. 64, 233-268 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 24 Documents MSC: 58J20 Index theory and related fixed-point theorems on manifolds 53C80 Applications of global differential geometry to the sciences 22E60 Lie algebras of Lie groups Keywords:Dirac Operator; Gauge Field; Lie Algebra of a Compact Simple Lie Group; Atiyah-Singer Index; Quantum Fluctuations of Instantons × Cite Format Result Cite Review PDF Full Text: DOI Euclid References: [1] Belavin, A., Polyakov, A., Schwarz, A., Tyupkin, Yu.: Phys. Lett. B59, 85-87 (1975) · doi:10.1016/0370-2693(75)90163-X [2] ’t Hooft, G.: Phys. Rev. D14, 3432-3450 (1976) · doi:10.1103/PhysRevD.14.3432 [3] Polyakov, A.: Nucl. Phys. B120, 429-458 (1977) · doi:10.1016/0550-3213(77)90086-4 [4] Belavin, A., Polyakov, A.: Nucl. Phys. 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D16, 1052-1060 (1977) · doi:10.1103/PhysRevD.16.1052 [15] Bernard, C., Christ, N., Guth, A., Weinberg, E.: Phys. Rev. D16, 2967-2977 (1977) · doi:10.1103/PhysRevD.16.2967 [16] Nielsen, N.: Schroer, B.: Nucl. Phys. B127, 493-508 (1977) · doi:10.1016/0550-3213(77)90453-9 [17] Atiyah, M., Ward, R.: Commun. math. Phys.55, 117-124 (1977) · Zbl 0362.14004 · doi:10.1007/BF01626514 [18] Atiyah, M., Hitchin, N., Drinfeld, V., Manin, Yu.: Oxford (preprint) [19] Drinfeld, V., Manin, Yu.: Func. Anal. i Prilozhen. (to appear) Uspehi Math. Nauk (to appear) [20] Stora, R.: In: Lectures at the International School of Math. Physics, Erice 1977 [21] Mayer, M.: In: Proceedings of the 1977 Conference on Differential Geometrical Methods in Math. Physics. Bleuler, K., Reetz, A. (eds.). Lecture Notes in Mathematics. Berlin, Heidelberg, New York: Springer 1978 [22] Forger, M.: Berlin (preprint) [23] Jackiw, R., Nohl, C., Rebbi, C.: MIT preprint (to be published by Plenum Press) [24] Schwarz, A.: Lett. Math. Phys.2, 201-205 (1978) · Zbl 0383.70016 · doi:10.1007/BF00406406 [25] Ray, D., Singer, I.: Adv. Math.7, 145-210 (1971) · Zbl 0239.58014 · doi:10.1016/0001-8708(71)90045-4 [26] Schwarz, A.: Lett. Math. Phys.2, 247-252 (1978) · Zbl 0383.70017 · doi:10.1007/BF00406412 [27] Schwarz, A.: Commun. math. Phys. (submitted) [28] Schwarz, A.: Commun. math. Phys.56, 79-86 (1977) · Zbl 0361.53030 · doi:10.1007/BF01611118 [29] Frolov, I., Schwarz, A.: Phys. Lett. (submitted) [30] Yoneya, T.: Phys. Lett. B71, 407-411 (1977) · doi:10.1016/0370-2693(77)90253-2 [31] Atiyah, M., Singer, I.: Ann. Math.87, 484-530 (1968) · Zbl 0164.24001 · doi:10.2307/1970715 [32] Palais, R.: Seminar on the Atiyah-Singer index theorem, Princeton, 1965 · Zbl 0137.17002 [33] Atiyah, M., Bott, R., Patodi, V.: Inventiones Math.19, 279-330 (1973) · Zbl 0257.58008 · doi:10.1007/BF01425417 [34] Seeley, R.: Proc. Symp. Pure Math.10, 288-307 (1971) [35] Greub, W., Halperin, S., Vanstone, R.: Connections, curvature and cohomology. New York: Academic Press, Vol. I, 1972; Vol. II, 1973 · Zbl 0322.58001 [36] Berezin, F.: The method of second quantization. New York: Academic Press 1966 · Zbl 0151.44001 [37] Wilson, K.: Phys. Rev. D10, 2445-2459 (1974) · doi:10.1103/PhysRevD.10.2445 [38] Dynkin, E.: Matem. sbornik35, 129-173 (1954) (in Russian) [39] Schwinger, J.: Particles, sources and fields. Reading, Massachusetts: Addison-Wesley 1970 · Zbl 1094.81500 [40] Ray, D., Singer, I.: Ann. Math.98, 154-177 (1973) · Zbl 0267.32014 · doi:10.2307/1970909 [41] Hsiang, W. J.: In: Proceedings of Conference on Compact Transformation Groups. Berlin, Heidelberg, New York: Springer 1967 · Zbl 0152.40604 [42] Frolov, I., Schwarz, A.: Phys. Lett. B (submitted) [43] Hartshorne, R.: Commun. math. Phys. [44] Frolov, I., Schwarz, A.: ZETF Lett.28, 273-276 (1978) [45] Romanov, V., Schwarz, A.: Teor. Mat. Fiz. (submitted) [46] Gross, D., Wilczek, F.: Phys. Rev. Lett.30, 1343-1346 (1973) · doi:10.1103/PhysRevLett.30.1343 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.