Local Cohomology and Its Structural Implications for Field Theory
Roberts, John E.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 24 (1977), p. 166-195 / Harvested from Numdam
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Publié le : 1977-01-01
@article{RCP25_1977__24__166_0,
     author = {Roberts, John E.},
     title = {Local Cohomology and Its Structural Implications for Field Theory},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {24},
     year = {1977},
     pages = {166-195},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1977__24__166_0}
}

Roberts, John E. Local Cohomology and Its Structural Implications for Field Theory. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 24 (1977) pp. 166-195. http://gdmltest.u-ga.fr/item/RCP25_1977__24__166_0/

[1] S. Mac Lane, Homology. Berlin, Heidelberg, New York : Springer 1963. | MR 156879 | Zbl 0328.18009

[2] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, 2e édition, Paris, Gauthier-Villars 1969. | Zbl 0088.32304

[3] S. Sakai, C*-Algebras and W*-Algebras, Berlin, Heidelberg, New York, Springer 1971. | MR 442701 | Zbl 1024.46001

[4] G.C. Wick, A.S. Wightman, E.P. Wigner, The Intrinsic Parity of Elementary Particles, Phys. Rev. 88, 101-105 (1952). | MR 53796 | Zbl 0046.43906

[5] R. Haag, D. Kastler, An Algebraic Approach to Quantum Field Theory, J. Math. Phys. 5, 848-861 (1964). | MR 165864 | Zbl 0139.46003

[6] H.J. Borchers, Local Rings and the Connection of Spin with Statistics, Commun. math. Phys. 1, 281-307 (1965). | MR 191354 | Zbl 0138.45202

[7] S. Doplicher, R. Haag, J.E. Roberts, Local Observables and Particle Statistics I., Commun. math. Phys. 23, 199-230 (1971). | MR 297259

[8] S. Doplicher, R. Haag, J.E. Roberts, Local Observables and Particle Statistics II., Commun. math. Phys. 35, 49-85 (1974). | MR 334742

[9] J.E. Roberts, Local Cohomology and Superselection Structure, Commun. math. Phys., 51, 107-119 (1976). | MR 471753 | Zbl 0334.53033

[10] H. Araki, R. Haag, D. Kastler, M. Takesaki, Extensions of KMS States and Chemical Potential, Commun. math. Phys., to appear. | MR 443679

See also the article by D. Kastler in these proceedings.

[11] J. Fröhlich, New Superselection Sectors ("Soliton-States") in Two-Dimensional Bose Quantum Field Theory Models, Commun. math. Phys. 47, 269-310 (1976). | MR 413868

[12] J.L. Bonnard, R.F. Streater, Local Gauge Models predicting their own Superselection Rules, Helv. Phys. Acta 49, 259-267 (1976). | MR 522689

[13] G.H. Derrick, Comments on Nonlinear Wave Equations as Models for Elementary Particles, J. Math. Phys. 5, 1252-1254 (1964). | MR 174304

[14] S. Coleman, Classical Lumps and their Quantum Descendants, Lectures to the 1975 International School of Subnuclear Physics "Ettore Majorana".

[15] S. Coleman, J. Mandula, All Possible Symmetries of the S-Matrix, Phys. Rev. 159, 1251-1256 (1967). | Zbl 0168.23702

[16] S. Doplicher, R. Haag, J.E. Roberts, Fields, Observables and Gauge Transformations I., Commun. math. Phys. 13, 1-23 (1969). | MR 258394 | Zbl 0175.24704

[17] L.J. Landau, E.H. Wichmann, On the Translation Invariance of Local Internal Symmetries, J. Math. Phys. 11, 306-311 (1970). | MR 256674 | Zbl 0201.30801

[18] L.J. Landau, Asymptotic Locality and the Structure of Local Internal Symmetries, Commun. math. Phys., 17, 156-176 (1970). | MR 263338 | Zbl 0194.29101

[19] J.E. Roberts, Spontaneously Broken Gauge Symmetries and Superselection Rules, Proceedings of the "International School of Mathematical Physics", Università di Camerino, 1974.

[20] J.J. Bisognano, E.H. Wichmann, On the Duality Condition for Quantum Fields, J. Math. Phys. 17, 303-321 (1976). | MR 438944

[21] S. Doplicher, J.E. Roberts, Fields, Statistics and Non-Abelian Gauge Groups, Conmun. math. Phys. 28, 331-348 (1972). | MR 325053

[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. | MR 473859 | Zbl 0441.46053

[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-Holland 1976. | MR 676317 | Zbl 0405.46058

[24] S. Mac Lane, Categories for the Working Mathematician, New York, Heidelberg, Berlin : Springer 1971. | MR 1712872 | Zbl 0906.18001

[25] F. Strocchi, Gauge Problem in Quantum Field Theory, Phys. Rev. 162, 1429-1438 (1967). | MR 317679

26] R.F. Streater and J.F. Wilde, Fermion States of a Boson Field, Nucl. Phys. B24, 561-575 (1970).