Local Cohomology and Its Structural Implications for Field Theory

John E. Roberts

Recherche Coopérative sur Programme n°25 (1977)

  • Volume: 24, page 166-195

How to cite


Roberts, John E.. "Local Cohomology and Its Structural Implications for Field Theory." Recherche Coopérative sur Programme n°25 24 (1977): 166-195. <http://eudml.org/doc/274131>.

author = {Roberts, John E.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {166-195},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Local Cohomology and Its Structural Implications for Field Theory},
url = {http://eudml.org/doc/274131},
volume = {24},
year = {1977},

AU - Roberts, John E.
TI - Local Cohomology and Its Structural Implications for Field Theory
JO - Recherche Coopérative sur Programme n°25
PY - 1977
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 24
SP - 166
EP - 195
LA - eng
UR - http://eudml.org/doc/274131
ER -


  1. [1] S. Mac Lane, Homology. Berlin, Heidelberg, New York : Springer1963. Zbl0328.18009MR156879
  2. [2] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, 2e édition, Paris, Gauthier-Villars1969. Zbl0088.32304
  3. [3] S. Sakai, C*-Algebras and W*-Algebras, Berlin, Heidelberg, New York, Springer1971. Zbl1024.46001MR442701
  4. [4] G.C. Wick, A.S. Wightman, E.P. Wigner, The Intrinsic Parity of Elementary Particles, Phys. Rev.88, 101-105 (1952). Zbl0046.43906MR53796
  5. [5] R. Haag, D. Kastler, An Algebraic Approach to Quantum Field Theory, J. Math. Phys.5, 848-861 (1964). Zbl0139.46003MR165864
  6. [6] H.J. Borchers, Local Rings and the Connection of Spin with Statistics, Commun. math. Phys.1, 281-307 (1965). Zbl0138.45202MR191354
  7. [7] S. Doplicher, R. Haag, J.E. Roberts, Local Observables and Particle Statistics I., Commun. math. Phys.23, 199-230 (1971). MR297259
  8. [8] S. Doplicher, R. Haag, J.E. Roberts, Local Observables and Particle Statistics II., Commun. math. Phys.35, 49-85 (1974). MR334742
  9. [9] J.E. Roberts, Local Cohomology and Superselection Structure, Commun. math. Phys., 51, 107-119 (1976). Zbl0334.53033MR471753
  10. [10] H. Araki, R. Haag, D. Kastler, M. Takesaki, Extensions of KMS States and Chemical Potential, Commun. math. Phys., to appear. MR443679
  11. See also the article by D. Kastler in these proceedings. 
  12. [11] J. Fröhlich, New Superselection Sectors ("Soliton-States") in Two-Dimensional Bose Quantum Field Theory Models, Commun. math. Phys.47, 269-310 (1976). MR413868
  13. [12] J.L. Bonnard, R.F. Streater, Local Gauge Models predicting their own Superselection Rules, Helv. Phys. Acta49, 259-267 (1976). MR522689
  14. [13] G.H. Derrick, Comments on Nonlinear Wave Equations as Models for Elementary Particles, J. Math. Phys.5, 1252-1254 (1964). MR174304
  15. [14] S. Coleman, Classical Lumps and their Quantum Descendants, Lectures to the 1975 International School of Subnuclear Physics "Ettore Majorana". 
  16. [15] S. Coleman, J. Mandula, All Possible Symmetries of the S-Matrix, Phys. Rev.159, 1251-1256 (1967). Zbl0168.23702
  17. [16] S. Doplicher, R. Haag, J.E. Roberts, Fields, Observables and Gauge Transformations I., Commun. math. Phys.13, 1-23 (1969). Zbl0175.24704MR258394
  18. [17] L.J. Landau, E.H. Wichmann, On the Translation Invariance of Local Internal Symmetries, J. Math. Phys.11, 306-311 (1970). Zbl0201.30801MR256674
  19. [18] L.J. Landau, Asymptotic Locality and the Structure of Local Internal Symmetries, Commun. math. Phys., 17, 156-176 (1970). Zbl0194.29101MR263338
  20. [19] J.E. Roberts, Spontaneously Broken Gauge Symmetries and Superselection Rules, Proceedings of the "International School of Mathematical Physics", Università di Camerino, 1974. 
  21. [20] J.J. Bisognano, E.H. Wichmann, On the Duality Condition for Quantum Fields, J. Math. Phys.17, 303-321 (1976). MR438944
  22. [21] S. Doplicher, J.E. Roberts, Fields, Statistics and Non-Abelian Gauge Groups, Conmun. math. Phys.28, 331-348 (1972). MR325053
  23. [22] J.E. Roberts, Cross Products of von Neumann Algebras by Group Duals, Proceedings of the Conference on C*-Algebras and their Applications to Theoretical Physics, Rome 1975. Symposia Matematica, to appear. Zbl0441.46053MR473859
  24. [23] J.E. Roberts, Statistics and the Intertwiner Calculus, in C*-algebras and their Applications to Statistical Mechanics and Quantum Field Theory, ed. D. Kastler, Amsterdam, North-Holland1976. Zbl0405.46058MR676317
  25. [24] S. Mac Lane, Categories for the Working Mathematician, New York, Heidelberg, Berlin : Springer1971. Zbl0906.18001MR1712872
  26. [25] F. Strocchi, Gauge Problem in Quantum Field Theory, Phys. Rev.162, 1429-1438 (1967). MR317679
  27. 26] R.F. Streater and J.F. Wilde, Fermion States of a Boson Field, Nucl. Phys. B24, 561-575 (1970). 

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.