Anomalous terms in gauge theory : relevance of the structure group

M. Dubois-Violette; M. Talon; C. M. Viallet

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 44, Issue: 1, page 103-114
  • ISSN: 0246-0211

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Dubois-Violette, M., Talon, M., and Viallet, C. M.. "Anomalous terms in gauge theory : relevance of the structure group." Annales de l'I.H.P. Physique théorique 44.1 (1986): 103-114. <http://eudml.org/doc/76309>.

@article{Dubois1986,
author = {Dubois-Violette, M., Talon, M., Viallet, C. M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {anomaly; gauge theory; cohomology},
language = {eng},
number = {1},
pages = {103-114},
publisher = {Gauthier-Villars},
title = {Anomalous terms in gauge theory : relevance of the structure group},
url = {http://eudml.org/doc/76309},
volume = {44},
year = {1986},
}

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
PB - Gauthier-Villars
VL - 44
IS - 1
SP - 103
EP - 114
LA - eng
KW - anomaly; gauge theory; cohomology
UR - http://eudml.org/doc/76309
ER -

References

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  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

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