메뉴 건너뛰기




Volumn 3, Issue 6, 2002, Pages 1113-1181

Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036950740     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000230200001     Document Type: Article
Times cited : (118)

References (53)
  • 1
    • 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, 1343-1362 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 1343-1362
    • Araki, H.1
  • 2
    • 85011222636 scopus 로고
    • On quasi-equivalence of quasifree states of the canonical commutation relations
    • Kyoto Univ.
    • H. Araki and S. Yamagami, On quasi-equivalence of quasifree states of the canonical commutation relations, Publ. RIMS, Kyoto Univ. 18, 283-338 (1982).
    • (1982) Publ. RIMS , vol.18 , pp. 283-338
    • Araki, H.1    Yamagami, S.2
  • 4
    • 84972570335 scopus 로고
    • Characterization of pseudodifferential operators and applications
    • R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44, 45-57 (1977) and 46, 215 (1979).
    • (1977) Duke Math. J. , vol.44 , pp. 45-57
    • Beals, R.1
  • 5
    • 84972550337 scopus 로고
    • R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44, 45-57 (1977) and 46, 215 (1979).
    • (1979) Duke Math. J. , vol.46 , pp. 215
  • 8
    • 0034348733 scopus 로고    scopus 로고
    • Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
    • R. Brunetti and K. Fredenhagen, Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds, Comm. Math. Phys. 208, 623-661 (2000).
    • (2000) Comm. Math. Phys. , vol.208 , pp. 623-661
    • Brunetti, R.1    Fredenhagen, K.2
  • 9
    • 0000474431 scopus 로고    scopus 로고
    • The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
    • R. Brunetti, K. Fredenhagen, and M. Köhler, The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes, Comm. Math. Phys. 180, 633-652 (1996).
    • (1996) Comm. Math. Phys. , vol.180 , pp. 633-652
    • Brunetti, R.1    Fredenhagen, K.2    Köhler, M.3
  • 10
    • 49549162581 scopus 로고
    • Essential self-adjointness of powers of generators of hyperbolic equations
    • P.R. Chernoff, Essential self-adjointness of powers of generators of hyperbolic equations, J. Funct. Anal. 12, 401-414 (1973).
    • (1973) J. Funct. Anal. , vol.12 , pp. 401-414
    • Chernoff, P.R.1
  • 12
    • 0000282394 scopus 로고
    • Radiation damping in a gravitational field
    • B.S. DeWitt and R.W. Brehme, Radiation damping in a gravitational field, Ann. Phys. (NY) 9, 220-259 (1960).
    • (1960) Ann. Phys. (NY) , vol.9 , pp. 220-259
    • DeWitt, B.S.1    Brehme, R.W.2
  • 14
    • 0000004551 scopus 로고
    • Algebras of local observables on a manifold
    • J. Dimock, Algebras of local observables on a manifold, Comm. Math. Phys. 77, 219-228 (1980).
    • (1980) Comm. Math. Phys. , vol.77 , pp. 219-228
    • Dimock, J.1
  • 17
    • 0001359817 scopus 로고
    • Fourier integral operators II
    • J.J. Duistermaat and L. Hörmander, Fourier integral operators II. Acta Math. 128, 183-269 (1972).
    • (1972) Acta Math. , vol.128 , pp. 183-269
    • Duistermaat, J.J.1    Hörmander, L.2
  • 18
    • 0034337728 scopus 로고    scopus 로고
    • A general worldline quantum inequality
    • Ch.J. Fewster, A general worldline quantum inequality, Class. Quant. Grav. 17, 1897-1911 (2000).
    • (2000) Class. Quant. Grav. , vol.17 , pp. 1897-1911
    • Fewster, Ch.J.1
  • 20
    • 0142052067 scopus 로고
    • Singularity structure of the two-point function in quantum field theory in curved spacetime, II
    • S.A. Fulling, F.J. Narcowich, and R.M. Wald, Singularity structure of the two-point function in quantum field theory in curved spacetime, II, Ann. Phys. (NY) 136, 243-272 (1981).
    • (1981) Ann. Phys. (NY) , vol.136 , pp. 243-272
    • Fulling, S.A.1    Narcowich, F.J.2    Wald, R.M.3
  • 21
    • 0012543715 scopus 로고
    • Singularities in linear wave propagation
    • Springer Verlag, Berlin
    • L. Gårding, Singularities in Linear Wave Propagation. Lecture Notes in Mathematics 1241. Springer Verlag, Berlin, 1987.
    • (1987) Lecture Notes in Mathematics , vol.1241
    • Gårding, L.1
  • 23
    • 6144286355 scopus 로고
    • An algebraic approach to quantum field theory
    • R. Haag and D. Kastler, 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
  • 24
    • 0001740135 scopus 로고
    • On quantum field theory in gravitational background
    • R. Haag, H. Narnhofer, and U. Stein, On quantum field theory in gravitational background, Comm. Math. Phys. 94, 219-238 (1984).
    • (1984) Comm. Math. Phys. , vol.94 , pp. 219-238
    • Haag, R.1    Narnhofer, H.2    Stein, U.3
  • 25
    • 0035529590 scopus 로고    scopus 로고
    • The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes
    • S. Hollands, The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes, Comm. Math. Phys. 216, 635-661 (2001).
    • (2001) Comm. Math. Phys. , vol.216 , pp. 635-661
    • Hollands, S.1
  • 27
    • 0002820858 scopus 로고
    • Fourier integral operators I
    • L. Hörmander, Fourier integral operators I. Acta Math. 127, 79-183 (1971).
    • (1971) Acta Math. , vol.127 , pp. 79-183
    • Hörmander, L.1
  • 31
    • 0003216788 scopus 로고    scopus 로고
    • Lectures on nonlinear hyperbolic differential equations
    • Springer Verlag, Berlin
    • L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations. Mathématiques & Applications 26. Springer Verlag, Berlin, 1997.
    • (1997) Mathématiques & Applications , vol.26
    • Hörmander, L.1
  • 32
    • 0030292896 scopus 로고    scopus 로고
    • Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime
    • W. Junker, Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime. Rev. Math. Phys 8, 1091-1159 (1996) and 14, 511-517 (2002).
    • (1996) Rev. Math. Phys , vol.8 , pp. 1091-1159
    • Junker, W.1
  • 33
    • 0036340763 scopus 로고    scopus 로고
    • W. Junker, Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetime. Rev. Math. Phys 8, 1091-1159 (1996) and 14, 511-517 (2002).
    • (2002) Rev. Math. Phys , vol.14 , pp. 511-517
  • 34
    • 0002856008 scopus 로고
    • Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
    • B.S. Kay and R.M. Wald, Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon. Phys. Rep. 207, 49-136 (1991).
    • (1991) Phys. Rep. , vol.207 , pp. 49-136
    • Kay, B.S.1    Wald, R.M.2
  • 37
    • 0001811592 scopus 로고
    • Local quasiequivalence and adiabatic vacuum states
    • C. Lüders and J.E. Roberts, Local quasiequivalence and adiabatic vacuum states, Comm. Math. Phys. 134, 29-63 (1990).
    • (1990) Comm. Math. Phys. , vol.134 , pp. 29-63
    • Lüders, C.1    Roberts, J.E.2
  • 38
    • 0000659861 scopus 로고
    • Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
    • J. Manuceau and A. Verbeure, Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations, Comm. Math. Phys. 9, 293-302 (1968).
    • (1968) Comm. Math. Phys. , vol.9 , pp. 293-302
    • Manuceau, J.1    Verbeure, A.2
  • 40
    • 36049054572 scopus 로고
    • Quantized fields and particle creation in expanding universes. I
    • L. Parker, Quantized fields and particle creation in expanding universes. I, Phys. Rev. 183, 1057-1068 (1969).
    • (1969) Phys. Rev. , vol.183 , pp. 1057-1068
    • Parker, L.1
  • 41
    • 0001667048 scopus 로고
    • Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces
    • L. Parker and S.A. Fulling, Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces, Phys. Rev. D 9, 341-354 (1974).
    • (1974) Phys. Rev. D , vol.9 , pp. 341-354
    • Parker, L.1    Fulling, S.A.2
  • 42
    • 33745986748 scopus 로고
    • Free states of the canonical anticommutation relations
    • R.T. Powers and E. Størmer, Free states of the canonical anticommutation relations, Comm. Math. Phys. 16, 1-33 (1970).
    • (1970) Comm. Math. Phys. , vol.16 , pp. 1-33
    • Powers, R.T.1    Størmer, E.2
  • 43
    • 0030239988 scopus 로고    scopus 로고
    • Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
    • M.J. Radzikowski, Micro-local approach to the Hadamard condition in quantum field theory on curved space-time, Comm. Math. Phys. 179, 529-553 (1996).
    • (1996) Comm. Math. Phys. , vol.179 , pp. 529-553
    • Radzikowski, M.J.1
  • 46
    • 0004276192 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • M.E. Taylor, Pseudodifferential Operators, Princeton University Press, Princeton, New Jersey, 1981.
    • (1981) Pseudodifferential Operators
    • Taylor, M.E.1
  • 48
    • 0000502656 scopus 로고
    • Notes on black hole evaporation
    • W.G. Unruh, Notes on black hole evaporation, Phys. Rev. D. 14, 870-892 (1976).
    • (1976) Phys. Rev. D. , vol.14 , pp. 870-892
    • Unruh, W.G.1
  • 49
    • 0002067773 scopus 로고
    • Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
    • R. Verch, Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime, Lett. Math. Phys. 29, 297-310 (1993).
    • (1993) Lett. Math. Phys. , vol.29 , pp. 297-310
    • Verch, R.1
  • 50
    • 21344479560 scopus 로고
    • Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
    • R. Verch, Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime, Comm. Math. Phys 160, 507-536 (1994).
    • (1994) Comm. Math. Phys. , vol.160 , pp. 507-536
    • Verch, R.1
  • 51
    • 0031285888 scopus 로고    scopus 로고
    • Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime
    • R. Verch, Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime, Rev. Math. Phys. 9, 635-674 (1997).
    • (1997) Rev. Math. Phys. , vol.9 , pp. 635-674
    • Verch, R.1
  • 53
    • 0004021335 scopus 로고
    • Grundlehren der mathematischen Wissenschaften 123. Springer Verlag, Berlin, 6th edition
    • K. Yosida, Functional Analysis, Grundlehren der mathematischen Wissenschaften 123. Springer Verlag, Berlin, 6th edition, 1980.
    • (1980) Functional Analysis
    • Yosida, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.