Anomalous terms in gauge theory : relevance of the structure group
Dubois-Violette, M. ; Talon, M. ; Viallet, C. M.
Annales de l'I.H.P. Physique théorique, Tome 45 (1986), p. 103-114 / Harvested from Numdam
@article{AIHPA_1986__44_1_103_0,
     author = {Dubois-Violette, Michel and Talon, M. and Viallet, C. M.},
     title = {Anomalous terms in gauge theory : relevance of the structure group},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {45},
     year = {1986},
     pages = {103-114},
     mrnumber = {834021},
     zbl = {0604.58057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1986__44_1_103_0}
}
Dubois-Violette, M.; Talon, M.; Viallet, C. M. Anomalous terms in gauge theory : relevance of the structure group. Annales de l'I.H.P. Physique théorique, Tome 45 (1986) pp. 103-114. http://gdmltest.u-ga.fr/item/AIHPA_1986__44_1_103_0/

[1] M. Dubois-Violette, M. Talon and C.M. Viallet, B. R. S. Algebras. Analysis of the consistency equations in gauge theory. Commun. Math. Phys., t. 102, 1985, p. 105. | MR 817290 | Zbl 0604.58055

M. Dubois-Violette, M. Talon and C.M. Viallet, Results on B. R. S. cohomologies in gauge theory. Phys. Lett., t. 158 B, 1985, p. 231.

[2] C. Becchi, A. Rouet and R. Stora, Renormalization of gauge theories. Ann. Phys. (N. Y.), t. 98, 1976, p. 287. | MR 413861

[3] J. Wess and B. Zumino, Consequences of anomalous Ward identities. Phys. Lett., t. 37 B, 1971, p. 95. | MR 342064

[4] B. Zumino, Chiral anomalies and differential geometry, in: Relativity, groups and topology II, B. S. de Witt and R. Stora Eds., North Holland, 1984. | MR 830254 | Zbl 0595.53069

B. Zumino, Cohomology of gauge groups: Cocycles and Schwinger terms. Nucl. Phys., t. 253 B, 1985, p. 477. | MR 791687

[5[ L. Bonora and P. Cotta-Ramusino, Some remarks on B. R. S. transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations. Commun. Math., t. 87, 1983, p. 589. | MR 691046 | Zbl 0521.53064

[6] J. Mañes, R. Stora and B. Zumino, Algebraic structure of anomalies, (to appear).

[7] L.D. Faddeev, Operator anomaly for the Gauss law. Phys. Lett., t. 145 B, 1984, p. 81. | MR 757331

[8] J.L. Koszul, Homologie et cohomologie des algèbres de Lie. Bull. Soc. Math. France, t. 78, 1950, p. 65. | Numdam | MR 36511 | Zbl 0039.02901

[9] W. Greub, S. Halperin and R. Vanstone, Connections, curvature and cohomology, vol. III, Academic Press, New York, 1976. | MR 400275 | Zbl 0372.57001

[10] C. Chevalley, Invariants of finite groups generated by reflections. Am. J. Math., t. 77, 1955, p. 778. | MR 72877 | Zbl 0065.26103

[11] C. Chevalley, The Betti numbers of the exceptional simple Lie groups, Int. Math. Congress. Cambridge, 1950. | MR 44531 | Zbl 0049.15704

[12] J.A. Dixon, Cohomology and renormalization of gauge theories (unpublished) quoted in:

R. Stora, Continuum gauge theories, in: New developments in quantum in quantum field theory and statistical mechanics, M. Levy and P. Mitter Eds., Plenum 1977. | MR 508193

J. Thierry-Mieg, Classification of the Yang-Mills anomalies in even and odd dimension. Phys. Lett., t. 147 B, 1984, p. 430. | MR 767765

L. Baulieu and J. Thierry-Mieg, Algebraic structure of quantum gravity and the classification of the gravitational anomalies. Phys. Lett., t. 145 B, 1984, p. 53. | MR 757328

[13] H. Cartan, Notions d'algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, and la transgression dans un groupe de Lie et un espace fibré principal, in : Colloque de topologie (Bruxelles, 1950), Masson, 1951. | Zbl 0045.30601