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Volumn 55, Issue 1, 2005, Pages 135-147

The role of type III factors in quantum field theory

Author keywords

Quantum field theory; Type III factors

Indexed keywords


EID: 18144423866     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(05)80009-6     Document Type: Article
Times cited : (98)

References (48)
  • 4
    • 0002540110 scopus 로고
    • On Rings of Operators III
    • J. von Neumann On Rings of Operators III Ann. Math. 41 1940 94-161
    • (1940) Ann. Math. , vol.41 , pp. 94-161
    • von Neumann, J.1
  • 6
    • 0002260681 scopus 로고
    • Tomita's Theory of Modular Hilbert Algebras and Its Applications
    • Springer Berlin
    • M. Takesaki Tomita's Theory of Modular Hilbert Algebras and Its Applications Lecture Notes in Mathematics 128 1970 Springer Berlin
    • (1970) Lecture Notes in Mathematics , vol.128
    • Takesaki, M.1
  • 7
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
    • A. Connes Une classification des facteurs de type III Ann. Sci. Ecole Norm. Sup. 6 1973 133-252
    • (1973) Ann. Sci. Ecole Norm. Sup. , vol.6 , pp. 133-252
    • Connes, A.1
  • 8
    • 0001598965 scopus 로고
    • Representations of uniformly hyperfinite algebras and their associated von Neumann rings
    • R.T. Powers Representations of uniformly hyperfinite algebras and their associated von Neumann rings Ann. Math. 86 1968 138-171
    • (1968) Ann. Math. , vol.86 , pp. 138-171
    • Powers, R.T.1
  • 11
    • 0013415888 scopus 로고
    • Representations of the canonical commutation relations describing a nonrelativistic infinite free Bose gas
    • H. Araki E.J. Woods Representations of the canonical commutation relations describing a nonrelativistic infinite free Bose gas J. Math. Phys. 4 1963 637-662
    • (1963) J. Math. Phys. , vol.4 , pp. 637-662
    • Araki, H.1    Woods, E.J.2
  • 12
    • 0002718357 scopus 로고
    • Quantum Theory of Radiation
    • E. Fermi Quantum Theory of Radiation Rev. Mod. Phys. 4 1932 87-132
    • (1932) Rev. Mod. Phys. , vol.4 , pp. 87-132
    • Fermi, E.1
  • 13
    • 4243856945 scopus 로고
    • Causality Problems for Fermi's Two-Atom System
    • G.C. Hegerfeldt Causality Problems for Fermi's Two-Atom System Phys. Rev. Lett. 72 1994 596-599
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 596-599
    • Hegerfeldt, G.C.1
  • 14
    • 0012651992 scopus 로고
    • There Are No Causality Problems for Fermi's Two-Atom System
    • D. Buchholz J. Yngvason There Are No Causality Problems for Fermi's Two-Atom System Phys. Rev. Lett. 73 1994 613
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 613
    • Buchholz, D.1    Yngvason, J.2
  • 15
    • 0012187938 scopus 로고    scopus 로고
    • Particle localization and the notion of Einstein causality
    • A. Horzela E. Kapuścik (eds.), Aperion Montreal
    • G.C. Hegerfeldt Particle localization and the notion of Einstein causality in A. Horzela E. Kapuścik (eds.), Extensions of Quantum Theory 2001 Aperion Montreal 9-16
    • (2001) Extensions of Quantum Theory , pp. 9-16
    • Hegerfeldt, G.C.1
  • 17
    • 0037195757 scopus 로고    scopus 로고
    • On Einstein causality and time asymmetry in quantum physics
    • S. Wickramasekara A. Bohm On Einstein causality and time asymmetry in quantum physics J. Phys. A 35 2002 L715-L720
    • (2002) J. Phys. A , vol.35
    • Wickramasekara, S.1    Bohm, A.2
  • 19
    • 0034400588 scopus 로고    scopus 로고
    • The quest for understanding in relativistic quantum physics
    • D. Buchholz R. Haag The quest for understanding in relativistic quantum physics J. Math. Phys. 41 2000 3674-3697
    • (2000) J. Math. Phys. , vol.41 , pp. 3674-3697
    • Buchholz, D.1    Haag, R.2
  • 20
    • 51249192618 scopus 로고
    • Eine Bemerkung zur Unitärequivalenz von Lorentzinvarianten Feldern
    • H. Reeh S. Schlieder Eine Bemerkung zur Unitärequivalenz von Lorentzinvarianten Feldern Nuovo Cimento 22 1961 1051-1068
    • (1961) Nuovo Cimento , vol.22 , pp. 1051-1068
    • Reeh, H.1    Schlieder, S.2
  • 21
    • 0038844651 scopus 로고
    • Postulates of quantum field theory
    • R. Haag B. Schroer Postulates of quantum field theory J. Math. Phys. 3 1962 248-256
    • (1962) J. Math. Phys. , vol.3 , pp. 248-256
    • Haag, R.1    Schroer, B.2
  • 22
    • 0040009515 scopus 로고
    • Remarks on the type of von Neumann algebras of local observables in quantum field theory
    • R. Kadison Remarks on the type of von Neumann algebras of local observables in quantum field theory J. Math. Phys. 4 1963 1511-1516
    • (1963) J. Math. Phys. , vol.4 , pp. 1511-1516
    • Kadison, R.1
  • 23
    • 51249195455 scopus 로고
    • On the von Neumann algebras generated by field operators
    • M. Guenin B. Misra On the von Neumann algebras generated by field operators Nuovo Cimento 30 1963 1272-1290
    • (1963) Nuovo Cimento , vol.30 , pp. 1272-1290
    • Guenin, M.1    Misra, B.2
  • 24
    • 0000100137 scopus 로고
    • A lattice of von Neumann algebras associated with the quantum theory of a free Bose field
    • H. Araki A lattice of von Neumann algebras associated with the quantum theory of a free Bose field J. Math. Phys. 4 1963 1343-1362
    • (1963) J. Math. Phys. , vol.4 , pp. 1343-1362
    • Araki, H.1
  • 25
    • 0010810357 scopus 로고
    • Von Neumann algebras of observables for free scalar fields
    • H. Araki Von Neumann algebras of observables for free scalar fields J. Math. Phys. 5 1964 1-13
    • (1964) J. Math. Phys. , vol.5 , pp. 1-13
    • Araki, H.1
  • 26
    • 0010873391 scopus 로고
    • Type of von Neumann algebra associated with free field
    • H. Araki Type of von Neumann algebra associated with free field Progr Theor. Phys. 32 1964 956-965
    • (1964) Progr Theor. Phys. , vol.32 , pp. 956-965
    • Araki, H.1
  • 27
    • 0000133929 scopus 로고
    • A Remark on a Theorem of B. Misra
    • H.J. Borchers A Remark on a Theorem of B. Misra Commun. Math. Phys. 4 1967 315-323
    • (1967) Commun. Math. Phys. , vol.4 , pp. 315-323
    • Borchers, H.J.1
  • 28
    • 0038844644 scopus 로고
    • Comments on lightlike translations and applications in relativistic Quantum Field Theory
    • W. Driessler Comments on lightlike translations and applications in relativistic Quantum Field Theory Commun. Math. Phys. 44 1975 133-141
    • (1975) Commun. Math. Phys. , vol.44 , pp. 133-141
    • Driessler, W.1
  • 29
    • 0040030787 scopus 로고
    • On the type of local algebras in quantum field theory
    • W. Driessler On the type of local algebras in quantum field theory Commun. Math. Phys. 53 1977 295-297
    • (1977) Commun. Math. Phys. , vol.53 , pp. 295-297
    • Driessler, W.1
  • 30
    • 0041196836 scopus 로고
    • Notes on algebraic invariants for non-commutative dynamical systems
    • R. Longo Notes on algebraic invariants for non-commutative dynamical systems Commun. Math. Phys. 69 1979 195-207
    • (1979) Commun. Math. Phys. , vol.69 , pp. 195-207
    • Longo, R.1
  • 31
    • 0039417328 scopus 로고    scopus 로고
    • Half-sided translations and the type of von Neumann algebras
    • H.J. Borchers Half-sided translations and the type of von Neumann algebras Lett. Math. Phys. 44 1998 283-290
    • (1998) Lett. Math. Phys. , vol.44 , pp. 283-290
    • Borchers, H.J.1
  • 32
    • 36749106982 scopus 로고
    • On the duality condition for a Hermitian scalar field
    • J.J. Bisognano E.H. Wichmann On the duality condition for a Hermitian scalar field J. Math. Phys. 16 1975 985-1007
    • (1975) J. Math. Phys. , vol.16 , pp. 985-1007
    • Bisognano, J.J.1    Wichmann, E.H.2
  • 33
    • 36749105380 scopus 로고
    • On the duality condition for quantum fields
    • J.J. Bisognano E.H. Wichmann On the duality condition for quantum fields J. Math. Phys. 17 1976 303-321
    • (1976) J. Math. Phys. , vol.17 , pp. 303-321
    • Bisognano, J.J.1    Wichmann, E.H.2
  • 34
    • 0040514203 scopus 로고
    • On the modular structure of local algebras of observables
    • K. Fredenhagen On the modular structure of local algebras of observables Commun. Math. Phys. 84 1985 79-89
    • (1985) Commun. Math. Phys. , vol.84 , pp. 79-89
    • Fredenhagen, K.1
  • 35
    • 0001127539 scopus 로고    scopus 로고
    • Scaling algebras and renormalization group in algebraic quantum field theory
    • D. Buchholz R. Verch Scaling algebras and renormalization group in algebraic quantum field theory Rev. Math. Phys. 7 1996 1195-1239
    • (1996) Rev. Math. Phys. , vol.7 , pp. 1195-1239
    • Buchholz, D.1    Verch, R.2
  • 37
    • 0001031522 scopus 로고
    • Product states for local algebras
    • D. Buchholz Product states for local algebras Commun. Math. Phys. 36 1974 287-304
    • (1974) Commun. Math. Phys. , vol.36 , pp. 287-304
    • Buchholz, D.1
  • 38
    • 0000181626 scopus 로고
    • On the independence of local algebras in quantum field theory
    • S. Summers On the independence of local algebras in quantum field theory Rev. Math. Phys. 2 1990 201-247
    • (1990) Rev. Math. Phys. , vol.2 , pp. 201-247
    • Summers, S.1
  • 39
    • 0002509968 scopus 로고
    • On Noether's Theorem in Quantum Field Theory
    • D. Buchholz S. Doplicher R. Longo On Noether's Theorem in Quantum Field Theory Ann. Phys. 170 1986 1-17
    • (1986) Ann. Phys. , vol.170 , pp. 1-17
    • Buchholz, D.1    Doplicher, S.2    Longo, R.3
  • 40
    • 0009900914 scopus 로고
    • Local preparability of states and the split property in Quantum Field Theory
    • R. Werner Local preparability of states and the split property in Quantum Field Theory Lett. Math. Phys. 13 1987 325-329
    • (1987) Lett. Math. Phys. , vol.13 , pp. 325-329
    • Werner, R.1
  • 41
    • 0009955512 scopus 로고
    • Independence of Local Algebras in Quantum Field Theory
    • H. Roos Independence of Local Algebras in Quantum Field Theory Commun. Math. Phys. 16 1970 238-246
    • (1970) Commun. Math. Phys. , vol.16 , pp. 238-246
    • Roos, H.1
  • 42
    • 0000268564 scopus 로고
    • Standard and split inclusions of von Neumann algebras
    • S. Doplicher R. Longo Standard and split inclusions of von Neumann algebras Invent. Math. 73 1984 493-536
    • (1984) Invent. Math. , vol.73 , pp. 493-536
    • Doplicher, S.1    Longo, R.2
  • 43
    • 0001545162 scopus 로고
    • Causal independence and the energy level density of states in local Quantum Field Theory
    • D. Buchholz E. Wichmann Causal independence and the energy level density of states in local Quantum Field Theory Commun. Math. Phys. 106 1986 321-344
    • (1986) Commun. Math. Phys. , vol.106 , pp. 321-344
    • Buchholz, D.1    Wichmann, E.2
  • 45
    • 0001696301 scopus 로고
    • Nuclear maps and modular structures II: Applications to Quantum Field Theory
    • D. Buchholz C. D'Antoni R. Longo Nuclear maps and modular structures II: Applications to Quantum Field Theory Commun. Math. Phys. 129 1990 115-138
    • (1990) Commun. Math. Phys. , vol.129 , pp. 115-138
    • Buchholz, D.1    D'Antoni, C.2    Longo, R.3
  • 46
    • 0042543762 scopus 로고
    • Generalized nuclearity conditions and the split property in Quantum Field Theory
    • D. Buchholz J. Yngvason Generalized nuclearity conditions and the split property in Quantum Field Theory Lett. Math. Phys. 23 1991 159-167
    • (1991) Lett. Math. Phys. , vol.23 , pp. 159-167
    • Buchholz, D.1    Yngvason, J.2
  • 47
    • 1542439894 scopus 로고
    • A nuclearity condition for charged states
    • H.J. Borchers R. Schumann A nuclearity condition for charged states Lett. Math. Phys. 23 1991 65-77
    • (1991) Lett. Math. Phys. , vol.23 , pp. 65-77
    • Borchers, H.J.1    Schumann, R.2
  • 48
    • 0742320193 scopus 로고    scopus 로고
    • "Classification of two-dimensional local conformal nets with c < 1 and 2-cohomology vanishing for tensor categories"
    • Y. Kawahigashi R. Longo "Classification of two-dimensional local conformal nets with c 〈 1 and 2-cohomology vanishing for tensor categories" Comm. Math. Phys. 244 2004 63-97
    • (2004) Comm. Math. Phys. , vol.244 , pp. 63-97
    • Kawahigashi, Y.1    Longo, R.2


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