@article{AIHPA_1986__44_1_103_0, author = {Dubois-Violette, M. 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}, pages = {103--114}, publisher = {Gauthier-Villars}, volume = {44}, number = {1}, year = {1986}, mrnumber = {834021}, zbl = {0604.58057}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1986__44_1_103_0/} }
TY - JOUR AU - Dubois-Violette, M. AU - Talon, M. AU - Viallet, C. M. TI - Anomalous terms in gauge theory : relevance of the structure group JO - Annales de l'I.H.P. Physique théorique PY - 1986 SP - 103 EP - 114 VL - 44 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1986__44_1_103_0/ LA - en ID - AIHPA_1986__44_1_103_0 ER -
%0 Journal Article %A Dubois-Violette, M. %A Talon, M. %A Viallet, C. M. %T Anomalous terms in gauge theory : relevance of the structure group %J Annales de l'I.H.P. Physique théorique %D 1986 %P 103-114 %V 44 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1986__44_1_103_0/ %G en %F 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 44 (1986) no. 1, pp. 103-114. http://archive.numdam.org/item/AIHPA_1986__44_1_103_0/
[1] B. R. S. Algebras. Analysis of the consistency equations in gauge theory. Commun. Math. Phys., t. 102, 1985, p. 105. | MR | Zbl
, and ,Results on B. R. S. cohomologies in gauge theory. Phys. Lett., t. 158 B, 1985, p. 231.
, and ,[2] Renormalization of gauge theories. Ann. Phys. (N. Y.), t. 98, 1976, p. 287. | MR
, and ,[3] Consequences of anomalous Ward identities. Phys. Lett., t. 37 B, 1971, p. 95. | MR
and ,[4] Chiral anomalies and differential geometry, in: Relativity, groups and topology II, B. S. de Witt and R. Stora Eds., North Holland, 1984. | MR | Zbl
,Cohomology of gauge groups: Cocycles and Schwinger terms. Nucl. Phys., t. 253 B, 1985, p. 477. | MR
,[5[ 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 | Zbl
and ,[6] Algebraic structure of anomalies, (to appear).
, and ,[7] Operator anomaly for the Gauss law. Phys. Lett., t. 145 B, 1984, p. 81. | MR
,[8] Homologie et cohomologie des algèbres de Lie. Bull. Soc. Math. France, t. 78, 1950, p. 65. | Numdam | MR | Zbl
,[9] Connections, curvature and cohomology, vol. III, Academic Press, New York, 1976. | MR | Zbl
, and ,[10] Invariants of finite groups generated by reflections. Am. J. Math., t. 77, 1955, p. 778. | MR | Zbl
,[11] The Betti numbers of the exceptional simple Lie groups, Int. Math. Congress. Cambridge, 1950. | MR | Zbl
,[12] Cohomology and renormalization of gauge theories (unpublished) quoted in:
,Continuum gauge theories, in: New developments in quantum in quantum field theory and statistical mechanics, M. Levy and P. Mitter Eds., Plenum 1977. | MR
,Classification of the Yang-Mills anomalies in even and odd dimension. Phys. Lett., t. 147 B, 1984, p. 430. | MR
,Algebraic structure of quantum gravity and the classification of the gravitational anomalies. Phys. Lett., t. 145 B, 1984, p. 53. | MR
and ,[13] 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
,