Spacetime locality of the antifield formalism: General theorems illustrated by means of examples

  • Marc Henneaux
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 436)


Some general techniques and theorems on the spacetime locality of the antifield formalism are illustrated in the familiar cases of the free scalar field, electromagnetism and Yang-Mills theory. Common misconceptions in the field are corrected.


Local Function Local Functional Differential Algebra Gauge System Familiar Case 
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  1. [1]
    I.A. Batalin and G.A. Vilkovisky, Phys. Lett. 102B (1981) 27; Phys. Rev. D28 (1983) 2567.Google Scholar
  2. [2]
    J. Fisch, M. Henneaux, J.D. Stasheff and C. Teitelboim, Commun. Math. Phys. 120 (1989) 379.Google Scholar
  3. [3]
    J.M.L. Fisch and M. Henneaux, Commun. Math. Phys. 128 (1990) 627.Google Scholar
  4. [4]
    M. Henneaux, Nucl. Phys. Proc. Suppl. 18A (1990) 47.Google Scholar
  5. [5]
    M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, Princeton University Press (Princeton: 1992).Google Scholar
  6. [6]
    J.L. Koszul, Bull. Soc. Math. France 78 (1950) 5.Google Scholar
  7. [7]
    J. Tate, III. J. Math. 1 (1957) 14.Google Scholar
  8. [8]
    M. Henneaux, Commun. Math. Phys. 140 (1991) 1.Google Scholar
  9. [9]
    I.M. Anderson, The variational bicomplex, Academic Press (Boston 1994).Google Scholar
  10. [10]
    R.L. Bryant, S.S. Chern, R.B. Gardner, H.L. Goldschmidt and P.A. Griffiths, Exterior Differential Systems, Springer Verlag (New York: 1991).Google Scholar
  11. [11]
    I.M. Gel'fand and I. Ya. Dorfman, Funct. Anal. Appl. 13 (1979) 174.Google Scholar
  12. [12]
    M. Henneaux, Phys. Lett. B313 (1993) 35.Google Scholar
  13. [13]
    G. Barnich and M. Henneaux, preprint hepth 9312206, to appear in Phys. Rev. Lett.Google Scholar
  14. [14]
    W. Siegel,Nucl. Phys. B238 (1984) 307.Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Marc Henneaux
    • 1
    • 2
  1. 1.Faculté des SciencesUniversité Libre de BruxellesBruxellesBelgium
  2. 2.Centro de Estudios Científicos de SantiagoSantiago 9Chile

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