Kundu, A. Construction of nonlinear sigma-models in two and higher space- dimensions. (English) Zbl 0484.55006 Ann. Phys. 139, 36-47 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 55P99 Homotopy theory 53C80 Applications of global differential geometry to the sciences 81T99 Quantum field theory; related classical field theories Keywords:construction of nonlinear sigma-models in two and higher space- dimensions; homotopy classes of field functions; topological charge; soliton solution; degree of mapping PDF BibTeX XML Cite \textit{A. Kundu}, Ann. Phys. 139, 36--47 (1982; Zbl 0484.55006) Full Text: DOI References: [1] Belavin, A.A.; Polyakov, A.M., JETP lett., 22, 245-248, (1975) [2] Duff, M.J.; Isham, G.J., Nucl. phys. B, 108, 130-140, (1976) [3] Honerkamp, J.; Patani, A.; Schlinwein, M.; Shafi, Q., Nuovo cimento lett., 15, 97-100, (1976) [4] Butera, P.; Enriotti, M., Nuovo cimento lett., 21, 225-226, (1978) [5] Deser, S.; Duff, M.J.; Isham, C.J., Nucl. phys. B, 114, 29-44, (1976) [6] Skyrme, T.H.R., Nucl. phys., 31, 556-559, (1962) [7] Pak, N.K.; Tze, H.C., Ann. phys. (N.Y.), 117, 164-194, (1979) [8] Nicole, D.A., J. phys. G, 4, 1363-1369, (1978) [9] Vakulenko, A.P.; Kapitansky, L.V., Dokl. akad. nauk SSSR, 246, 840-844, (1979) [10] Enz, V., J. math. phys., 18, 347-353, (1977) [11] Felsager, B.; Leinaas, J.M., Phys. lett. B, 94, 192-194, (1980) [12] Kafiev, Yu.N., Phys. lett. B, 96, 337-340, (1980) [13] Kafiev, Yu.N., Nucl. phys. B, 178, 177-196, (1981) [14] Patani, A.; Schlinwein, M.; Shafi, Q., J. phys. A: math. gen., 9, 1513-1519, (1976) [15] Shkliarsky, D.O.; Chentsov, N.N.; Yglom, I.M., (), 42 [16] Pontrjagin, L.C., (), 103 [17] Vladimirov, S.A., Teor. mat. fiz., 44, 410-413, (1980) [18] Derrick, G.H., J. math. phys., 5, 1252-1254, (1964) [19] Cartan, E., Leçons sur la géométrie des espaces de Riemann, (), 19 · JFM 54.0755.01 [20] Bourbaki, N., “les structures fondamentales de l’analyse“, livre II, “algebra”, (1961), Hermann Paris [21] Rouhani, S., Nucl. phys. B, 169, 430-444, (1980) [22] Williams, J.G., Canad. J. phys., 57, 590-592, (1979) [23] \scA. Kundu and Yu. P. Rybakov, J. Phys. A, in press. [24] Balachandran, A.P.; Stern, A.; Trahan, G., Phys. rev. D, 19, 2416-2425, (1979) [25] D’Adda, A.; Lüscher, M.; Vecchia, P.D., Nucl. phys. B, 146, 63-76, (1978) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.