Anomalous terms in gauge theory : relevance of the structure group

 Access to full text

 Full (PDF)

1. [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. Zbl0604.58055MR817290
2. 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. Zbl0604.58055
3. [2] C. Becchi, A. Rouet and R. Stora, Renormalization of gauge theories. Ann. Phys. (N. Y.), t. 98, 1976, p. 287. MR413861
4. [3] J. Wess and B. Zumino, Consequences of anomalous Ward identities. Phys. Lett., t. 37 B, 1971, p. 95. MR342064
5. [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. Zbl0595.53069MR830254
6. B. Zumino, Cohomology of gauge groups: Cocycles and Schwinger terms. Nucl. Phys., t. 253 B, 1985, p. 477. Zbl0643.53072MR791687
7. [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. Zbl0521.53064MR691046
8. [6] J. Mañes, R. Stora and B. Zumino, Algebraic structure of anomalies, (to appear). Zbl0573.53054
9. [7] L.D. Faddeev, Operator anomaly for the Gauss law. Phys. Lett., t. 145 B, 1984, p. 81. MR757331
10. [8] J.L. Koszul, Homologie et cohomologie des algèbres de Lie. Bull. Soc. Math. France, t. 78, 1950, p. 65. Zbl0039.02901MR36511
11. [9] W. Greub, S. Halperin and R. Vanstone, Connections, curvature and cohomology, vol. III, Academic Press, New York, 1976. Zbl0372.57001MR400275
12. [10] C. Chevalley, Invariants of finite groups generated by reflections. Am. J. Math., t. 77, 1955, p. 778. Zbl0065.26103MR72877
13. [11] C. Chevalley, The Betti numbers of the exceptional simple Lie groups, Int. Math. Congress. Cambridge, 1950. Zbl0049.15704MR44531
14. [12] J.A. Dixon, Cohomology and renormalization of gauge theories (unpublished) quoted in: 
15. R. Stora, Continuum gauge theories, in: New developments in quantum in quantum field theory and statistical mechanics, M. Levy and P. Mitter Eds., Plenum1977. MR508193
16. J. Thierry-Mieg, Classification of the Yang-Mills anomalies in even and odd dimension. Phys. Lett., t. 147 B, 1984, p. 430. MR767765
17. 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. MR757328
18. [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. Zbl0045.30601

1. Michel Dubois-Violette, Structure algébrique des anomalies et cohomologies de B.R.S.