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Volumn 180, Issue 1, 1996, Pages 1-22

A local-to-global singularity theorem for quantum field theory on curved space-time

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EID: 0030517763     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101180     Document Type: Article
Times cited : (90)

References (46)
  • 1
    • 33744767928 scopus 로고
    • Vacuum states in de sitter space
    • Allen, B.: Vacuum States in de Sitter space. Phys. Rev. D 32, 3136-3149 (1985)
    • (1985) Phys. Rev. D , vol.32 , pp. 3136-3149
    • Allen, B.1
  • 3
    • 51649200002 scopus 로고
    • On the structure of the algebra of field operators
    • Borchers, H.J.: On the structure of the algebra of field operators. Nuovo Cimento 24, 214-236 (1962)
    • (1962) Nuovo Cimento , vol.24 , pp. 214-236
    • Borchers, H.J.1
  • 5
    • 0000282394 scopus 로고
    • Radiation damping in a gravitational field
    • DeWitt, B.S., Brehme, R.W.: Radiation damping in a gravitational field. Ann. Phys. (N.Y.) 9, 220-259 (1960)
    • (1960) Ann. Phys. (N.Y.) , vol.9 , pp. 220-259
    • DeWitt, B.S.1    Brehme, R.W.2
  • 6
    • 36749104560 scopus 로고
    • Scalar quantum field in an external gravitational background
    • Dimock, J.: Scalar quantum field in an external gravitational background. J. Math. Phys. 20, 2549-2555 (1979)
    • (1979) J. Math. Phys. , vol.20 , pp. 2549-2555
    • Dimock, J.1
  • 7
    • 0000004551 scopus 로고
    • Algebras of local observables on a manifold
    • Dimock, J.: Algebras of local observables on a manifold. Commun. Math. Phys. 77, 219-228 (1980)
    • (1980) Commun. Math. Phys. , vol.77 , pp. 219-228
    • Dimock, J.1
  • 9
    • 0039633375 scopus 로고
    • On the general theory of quantized fields
    • Schmüdgen, K. (ed.): Berlin, Heidelberg: Springer-Verlag
    • Fredenhagen, K.: On the general theory of quantized fields. In: Schmüdgen, K. (ed.): Mathematical Physics X. Berlin, Heidelberg: Springer-Verlag, 1992, pp. 136-152
    • (1992) Mathematical Physics X , pp. 136-152
    • Fredenhagen, K.1
  • 10
    • 0003063661 scopus 로고
    • Generally covariant quantum field theory and scaling limits
    • Fredenhagen, K., Haag, R.: Generally covariant quantum field theory and scaling limits. Commun. Math. Phys. 108, 91-115 (1987)
    • (1987) Commun. Math. Phys. , vol.108 , pp. 91-115
    • Fredenhagen, K.1    Haag, R.2
  • 12
    • 0142052067 scopus 로고
    • Singularity structure of the two-point function in quantum field theory in curved spacetime, II
    • Fulling, S.A., Narcowich, F.J., Wald, R.M.: Singularity structure of the two-point function in quantum field theory in curved spacetime, II. Ann. Phys. (N.Y.) 136, 243-272 (1981)
    • (1981) Ann. Phys. (N.Y.) , vol.136 , pp. 243-272
    • Fulling, S.A.1    Narcowich, F.J.2    Wald, R.M.3
  • 13
    • 0003084464 scopus 로고
    • Singularity structure of the two-point function in quantum field theory in curved spacetime
    • Fulling, S.A., Sweeny, M., Wald, R.M.: Singularity structure of the two-point function in quantum field theory in curved spacetime. Commun. Math. Phys. 63, 257-264 (1978)
    • (1978) Commun. Math. Phys. , vol.63 , pp. 257-264
    • Fulling, S.A.1    Sweeny, M.2    Wald, R.M.3
  • 14
    • 0001632616 scopus 로고
    • Can locally Hadamard quantum states have non-local singularities? class
    • Gonnella, G., Kay, B.S.: Can locally Hadamard quantum states have non-local singularities? Class. Quantum Gravity 6, 1445-1454 (1989)
    • (1989) Quantum Gravity , vol.6 , pp. 1445-1454
    • Gonnella, G.1    Kay, B.S.2
  • 15
    • 6144286355 scopus 로고
    • An algebraic approach to quantum field theory
    • Haag, R., Kastler, D.: An algebraic approach to quantum field theory. J. Math. Phys. 5, 848-861 (1964)
    • (1964) J. Math. Phys. , vol.5 , pp. 848-861
    • Haag, R.1    Kastler, D.2
  • 16
    • 0001740135 scopus 로고
    • On quantum field theory on gravitational background
    • Haag, R., Narnhofer, H., Stein, U.: On quantum field theory on gravitational background. Commun. Math. Phys. 94, 219-238 (1984)
    • (1984) Commun. Math. Phys. , vol.94 , pp. 219-238
    • Haag, R.1    Narnhofer, H.2    Stein, U.3
  • 17
    • 0003967625 scopus 로고
    • Berlin, Heidelberg: Springer-Verlag
    • Haag, R.: Local Quantum Physics. Berlin, Heidelberg: Springer-Verlag, 1992
    • (1992) Local Quantum Physics
    • Haag, R.1
  • 22
    • 0039041362 scopus 로고
    • Talk
    • see Workshop Chairman's Report by A. Ashtekar, pp. 453-456. Bertotti, B., de Felice, F., Pascolini, A. (eds.): Padova, 1983. Dordrecht: Riedel
    • Kay, B.S.: Talk (see Workshop Chairman's Report by A. Ashtekar, pp. 453-456). In: Bertotti, B., de Felice, F., Pascolini, A. (eds.): Proc. 10th International Conference on General Relativity and Gravitation (Padova, 1983). Dordrecht: Riedel, 1984
    • (1984) Proc. 10th International Conference on General Relativity and Gravitation
    • Kay, B.S.1
  • 23
    • 0003284185 scopus 로고
    • Quantum field theory in curved spacetime
    • Bleuler, K., Werner, M. (eds.): Dordrecht: Kluwer Academic Publishers
    • Kay, B.S.: Quantum field theory in curved spacetime. In: Bleuler, K., Werner, M. (eds.): Differential Geometrical Methods in Theoretical Physics. Dordrecht: Kluwer Academic Publishers, 1988, pp. 373-393
    • (1988) Differential Geometrical Methods in Theoretical Physics , pp. 373-393
    • Kay, B.S.1
  • 24
    • 0039633363 scopus 로고
    • Quantum field theory on curved space-time
    • Schmüdgen, K. (ed.): Berlin, Heidelberg: Springer-Verlag
    • Kay, B.S.: Quantum field theory on curved space-time. In: Schmüdgen, K. (ed.): Mathematical Physics X. Berlin, Heidelberg: Springer-Verlag, 1992, pp. 383-387
    • (1992) Mathematical Physics X , pp. 383-387
    • Kay, B.S.1
  • 25
    • 0002267110 scopus 로고
    • The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes
    • Kay, B.S.: The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes. Rev. Math. Phys., Special Issue, 167-195 (1992)
    • (1992) Rev. Math. Phys. , Issue.SPEC. ISSUE , pp. 167-195
    • Kay, B.S.1
  • 26
    • 21344493767 scopus 로고
    • Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space-times with horizons
    • Kay, B.S.: Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space-times with horizons. J. Math. Phys. 34(10), 4519-4539 (1993)
    • (1993) J. Math. Phys. , vol.34 , Issue.10 , pp. 4519-4539
    • Kay, B.S.1
  • 28
    • 0002856008 scopus 로고
    • Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon
    • Kay, B.S., Wald, R.M.: Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon. Phys. Rep. 207 (2), 49-136 (1991)
    • (1991) Phys. Rep. , vol.207 , Issue.2 , pp. 49-136
    • Kay, B.S.1    Wald, R.M.2
  • 29
    • 21844487705 scopus 로고
    • New examples for Wightman fields on a manifold
    • Köhler, M.: New examples for Wightman fields on a manifold. Class. Quant. Grav. 12, 1413-1427 (1995)
    • (1995) Class. Quant. Grav. , vol.12 , pp. 1413-1427
    • Köhler, M.1
  • 31
    • 0004034721 scopus 로고
    • Princeton, N.J.: Lecture notes, Institute for Advanced Study
    • Leray, J.: Hyperbolic Differential Equations. Princeton, N.J.: Lecture notes, Institute for Advanced Study, 1963
    • (1963) Hyperbolic Differential Equations
    • Leray, J.1
  • 33
    • 0040819980 scopus 로고
    • Propagateurs, commutateurs et anticommutateurs en relativité générale
    • DeWitt, C., DeWitt, B. (eds.): New York: Gordon and Breach
    • Lichnerowicz, A.: Propagateurs, commutateurs et anticommutateurs en relativité générale. In: DeWitt, C., DeWitt, B. (eds.): Relativity, Groups and Topology. New York: Gordon and Breach, 1964, pp. 821-861
    • (1964) Relativity, Groups and Topology , pp. 821-861
    • Lichnerowicz, A.1
  • 34
    • 0001811592 scopus 로고
    • Local quasiequivalence and adiabatic vacuum states
    • Lüders, C., Roberts, J.E.: Local quasiequivalence and adiabatic vacuum states. Commun. Math. Phys. 134, 29-63 (1990)
    • (1990) Commun. Math. Phys. , vol.134 , pp. 29-63
    • Lüders, C.1    Roberts, J.E.2
  • 35
    • 36749118875 scopus 로고
    • Spaces of positive and negative frequency solutions of field equations in curved space-times. I. The klein-gordon equation in stationary space-times, II. The massive vector field equations in static space-times
    • Moreno, C.: Spaces of positive and negative frequency solutions of field equations in curved space-times. I. The Klein-Gordon equation in stationary space-times, II. The massive vector field equations in static space-times. J. Math. Phys. 18, 2153-2161 (1977), J. Math. Phys. 19, 92-99 (1978)
    • (1977) J. Math. Phys. , vol.18 , pp. 2153-2161
    • Moreno, C.1
  • 36
    • 36749118875 scopus 로고
    • Moreno, C.: Spaces of positive and negative frequency solutions of field equations in curved space-times. I. The Klein-Gordon equation in stationary space-times, II. The massive vector field equations in static space-times. J. Math. Phys. 18, 2153-2161 (1977), J. Math. Phys. 19, 92-99 (1978)
    • (1978) J. Math. Phys. , vol.19 , pp. 92-99
  • 37
    • 0001141339 scopus 로고
    • Quantum states and the hadamard form III: Constraints in cosmological spacetimes
    • Najmi, A.H., Ottewill, A.C.: Quantum states and the Hadamard form III: Constraints in cosmological spacetimes. Phys. Rev. D 32, 1942-1948 (1985)
    • (1985) Phys. Rev. D , vol.32 , pp. 1942-1948
    • Najmi, A.H.1    Ottewill, A.C.2
  • 39
    • 85045502486 scopus 로고    scopus 로고
    • Microlocal approach to the Hadamard condition in quantum field theory on curved space-time
    • To appear
    • Radzikowski, M.J.: Microlocal approach to the Hadamard condition in quantum field theory on curved space-time. To appear in Commun. Math. Phys.
    • Commun. Math. Phys.
    • Radzikowski, M.J.1
  • 43
    • 21344479560 scopus 로고
    • Local definiteness, primarily and quasiequivalence of quasifree hadamard quantum states in curved spacetime
    • Verch, R.: Local definiteness, primarily and quasiequivalence of quasifree Hadamard quantum states in curved spacetime. Commun. Math. Phys. 160, 507-536 (1994)
    • (1994) Commun. Math. Phys. , vol.160 , pp. 507-536
    • Verch, R.1
  • 44
    • 21244488433 scopus 로고
    • The back reaction effect in particle creation in curved spacetime
    • Wald, R.M.: The back reaction effect in particle creation in curved spacetime. Commun. Math. Phys. 54, 1-19 (1977)
    • (1977) Commun. Math. Phys. , vol.54 , pp. 1-19
    • Wald, R.M.1
  • 45
    • 26544452019 scopus 로고
    • On the trace anomaly of a conformally invariant quantum field on curved spacetime
    • Wald, R.M.: On the trace anomaly of a conformally invariant quantum field on curved spacetime. Phys. Rev. D 17, 1477-1484 (1978)
    • (1978) Phys. Rev. D , vol.17 , pp. 1477-1484
    • Wald, R.M.1
  • 46
    • 0004057466 scopus 로고
    • Chicago, IL: The University of Chicago Press
    • Wald, R.M.: General Relativity. Chicago, IL: The University of Chicago Press, 1984
    • (1984) General Relativity
    • Wald, R.M.1


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