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The Special Theory of Relativity and Quantum Mechanics merge in the key principle of Quantum Field Theory, the Principle of Locality.
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Rudolf Haag: “Local Quantum Physics: Fields, Particles, Algebras”, Springer-Verlag, 1994;
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K. Fredenhagen: “Superselection sectors with infinite statistical dimension” Taniguchi Symposium on Condensed Matter Theory, Lake Biwa, Kashikojima, Japan, Oct 1993; DESY-94-071 (1994);
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S. Doplicher, K. Fredenhagen, J. E. Roberts: “Spacetime Quantization Induced by Classical Gravity”, Phys. Letters B 331, 39 - 44 (1994);
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D. Buchholz, R. Verch: “Scaling algebras and renormalization group in algebraic quantum field theory”, Rev. Math. Phys. 7, 1195-1240 (1995);
1995
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1995
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2005
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2006
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2006
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2006
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S. Doplicher: “Quantum Field Theory on Quantum Spacetime”, J. Phys. Conf. Ser. 53, 793-798 (2006); hep-th/0608124;
2006
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D. Buchholz, S. Doplicher, G. Morchio, J. E. Roberts, F. Strocchi: “Asymptotic Abelianness and braided tensor c*-categories”, Prog. Math. 251, 49-64 (2007);
2007
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Roberto Longo: “Real Hilbert subspaces, modular theory, S L ( 2 , ℝ ) SL(2,\mathbb{R}) and CFT”, in: “Von Neumann algebras in Sibiu”, 33-91, Theta 2008. First part of the preliminary lecture notes, available at Roberto Longo’s Web Page, http://www.mat.uniroma2.it/ ∼ \sim longo;
2008
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2008
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M. Kossow: “UV Finite Field Theories on Noncommutative Spacetimes: the Quantum Wick Product and Time Independent Perturbation Theory”, Phys. Rev. D77: 065018 (2008); arXiv:hep-th/0612111;
2008
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J. Mund: “The Spin-Statistics Theorem for Anyons and Plektons in d=2+1”, Commun. Math. Phys. 286, 1159-1180 (2009);
2009
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H. Bostelmann, C. D’Antoni, G. Morsella: “Scaling algebras and pointlike field Nonperturbative approach to renormalization”, Commun. Math. Phys. 285, 763-798 (2009);
2009
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R. Conti, G. Morsella: “Scaling limit for subsystems and Doplicher-Roberts reconstruction”, Ann. H. Poincaré 10, 485-511 (2009);
2009
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C. Doescher, J. Zahn: “Dispersion relations in the noncommutative ϕ 3 \phi^{3} and Wess-Zumino model in the Yang-Feldman formalism”, Annales Henri Poincaré 10:35-60,2009; arXiv:hep-th/0605062
2009
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