메뉴 건너뛰기




Volumn 42, Issue 3, 1997, Pages 281-295

The Hilbert Space Structure Condition for Quantum Field Theories with Indefinite Metric and Transformations with Linear Functionals

Author keywords

Axiomatic QFT; GNS representation; Indefinite metric; Krein spaces

Indexed keywords


EID: 0000726448     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007393411896     Document Type: Article
Times cited : (4)

References (24)
  • 1
    • 0013083652 scopus 로고    scopus 로고
    • Euclidean random fields, pseudodifferential operators, and Wightman functions
    • I.M. Davies, A. Truman, and K. D. Elworthy (eds), World Scientific, Singapore
    • Albeverio, S., Gottschalk, H., and Wu, J.-L.: Euclidean random fields, pseudodifferential operators, and Wightman functions, in: I.M. Davies, A. Truman, and K. D. Elworthy (eds), Stochastic Analysis and Applications, World Scientific, Singapore, 1996, pp. 20-37.
    • (1996) Stochastic Analysis and Applications , pp. 20-37
    • Albeverio, S.1    Gottschalk, H.2    Wu, J.-L.3
  • 2
    • 0030209383 scopus 로고    scopus 로고
    • Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions
    • Albeverio, S., Gottschalk, H., and Wu, J.-L.: Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions, Rev. Math. Phys. 8(6), (1996), 763-817.
    • (1996) Rev. Math. Phys. , vol.8 , Issue.6 , pp. 763-817
    • Albeverio, S.1    Gottschalk, H.2    Wu, J.-L.3
  • 3
    • 0031513489 scopus 로고    scopus 로고
    • Models of local relativistic quantum fields with indefinite metric (in all dimensions)
    • Albeverio, S., Gottschalk, H., and Wu, J.-L.: Models of local relativistic quantum fields with indefinite metric (in all dimensions), Comm. Math. Phys. 184 (1997), 509-531.
    • (1997) Comm. Math. Phys. , vol.184 , pp. 509-531
    • Albeverio, S.1    Gottschalk, H.2    Wu, J.-L.3
  • 4
    • 0000571586 scopus 로고
    • Unbounded GNS representations of a *-algebra in a Krein space
    • Antoine, J.-P., and Ôta, S.: Unbounded GNS representations of a *-algebra in a Krein space, Lett. Math. Phys. 18 (1989), 267-274.
    • (1989) Lett. Math. Phys. , vol.18 , pp. 267-274
    • Antoine, J.-P.1    Ôta, S.2
  • 5
    • 0000714413 scopus 로고
    • On a pathology in indefinite inner product spaces
    • Araki, H.: On a pathology in indefinite inner product spaces, Comm. Math. Phys. 85 (1982), 121-128.
    • (1982) Comm. Math. Phys. , vol.85 , pp. 121-128
    • Araki, H.1
  • 7
    • 0002542376 scopus 로고
    • Algebraic aspects of Wightman field theory
    • Sen and Weil (eds), New York
    • Borchers, H.-J.: Algebraic aspects of Wightman field theory, in: Sen and Weil (eds), Statistical Mechanics and Field Theory, New York, 1972, pp 31-79.
    • (1972) Statistical Mechanics and Field Theory , pp. 31-79
    • Borchers, H.-J.1
  • 12
    • 85007975749 scopus 로고
    • On algebraic #-cones in topological tensor algebras, I. Basic properties and normality
    • Hofmann, G.: On algebraic #-cones in topological tensor algebras, I. Basic properties and normality, Publ. RIMS, Kyoto Univ. 28 (1992), 455-494.
    • (1992) Publ. RIMS, Kyoto Univ. , vol.28 , pp. 455-494
    • Hofmann, G.1
  • 13
    • 85045609901 scopus 로고    scopus 로고
    • On GNS Representations on indefinite inner product spaces, I. The structure of the representation space
    • to appear
    • Hofmann, G.: On GNS Representations on indefinite inner product spaces, I. The structure of the representation space, to appear in Comm. Math. Phys.
    • Comm. Math. Phys.
    • Hofmann, G.1
  • 14
    • 0040990390 scopus 로고
    • Borchers algebra formulation of an indefinite inner product quantum field theory
    • Jakóbczyk, L.: Borchers algebra formulation of an indefinite inner product quantum field theory, J. Math. Phys. 29 (1984), 617-622.
    • (1984) J. Math. Phys. , vol.29 , pp. 617-622
    • Jakóbczyk, L.1
  • 16
    • 0000655544 scopus 로고
    • Infrared singularities, vacuum structure and pure phases in local quantum field theory
    • Morchio, G., and Strocchi, F.: Infrared singularities, vacuum structure and pure phases in local quantum field theory, Ann. Inst. H. Poincaré, Phys. Theór. 33 (1980), 251-282.
    • (1980) Ann. Inst. H. Poincaré, Phys. Theór. , vol.33 , pp. 251-282
    • Morchio, G.1    Strocchi, F.2
  • 17
    • 0003807403 scopus 로고
    • Verlag Harri Deutsch, Thun, Frankfurt am Main
    • Neumark, M. A.: Normierte Algebren, Verlag Harri Deutsch, Thun, Frankfurt am Main, 1990.
    • (1990) Normierte Algebren
    • Neumark, M.A.1
  • 19
  • 21
    • 0003295992 scopus 로고
    • Selected Topics on the General Properties of QFT
    • World Scientific, Singapore
    • Strocchi, F.: Selected Topics on the General Properties of QFT, World Sci. Lecture Notes Phys. 51, World Scientific, Singapore, 1993.
    • (1993) World Sci. Lecture Notes Phys. , vol.51
    • Strocchi, F.1
  • 22
    • 0001199501 scopus 로고
    • Unbounded representation of a *-algebra on indefinite metric space
    • Ôta, S.: Unbounded representation of a *-algebra on indefinite metric space, Ann. Inst. H. Poincaré Phys. Théor. 48 (1988), 333-353.
    • (1988) Ann. Inst. H. Poincaré Phys. Théor. , vol.48 , pp. 333-353
    • Ôta, S.1
  • 23
    • 0000075952 scopus 로고
    • On the algebra of test functions for field operators
    • Yngvason, J.: On the algebra of test functions for field operators, Comm. Math. Phys. 34 (1973), 315-333.
    • (1973) Comm. Math. Phys. , vol.34 , pp. 315-333
    • Yngvason, J.1
  • 24
    • 0002578404 scopus 로고
    • Remarks on the reconstruction theorem for field theories with indefinite metric
    • Yngvason, J.: Remarks on the reconstruction theorem for field theories with indefinite metric, Rep. Math. Phys. 12 (1977), 57-64.
    • (1977) Rep. Math. Phys. , vol.12 , pp. 57-64
    • Yngvason, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.