메뉴 건너뛰기




Volumn 208, Issue 3, 2000, Pages 623-661

Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034348733     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050004     Document Type: Article
Times cited : (378)

References (65)
  • 1
    • 0002387986 scopus 로고
    • Mathematical problems of non-perturbative quantum general relativity
    • Zinn-Justin et al. (eds.) Amsterdam: North-Holland
    • 1. Ashtekar, A.: Mathematical problems of non-perturbative quantum general relativity. In: Zinn-Justin et al. (eds.) Les Houches Summer School on Gravitation and Quantization. Amsterdam: North-Holland, 1994
    • (1994) Les Houches Summer School on Gravitation and Quantization
    • Ashtekar, A.1
  • 4
    • 0000993566 scopus 로고
    • Green's functions for theories with massless particles
    • (in perturbation theory).
    • 4. Blanchard, P., and Sénéor, R.: Green's functions for theories with massless particles (in perturbation theory). Ann. Inst. Henry Poincaré 23, 147 (1975)
    • (1975) Ann. Inst. Henry Poincaré , vol.23 , pp. 147
    • Blanchard, P.1    Sénéor, R.2
  • 6
    • 0004150531 scopus 로고
    • Chap.VIII. Paris: Hermann
    • 6. Bourbaki, N.: Algèbre. Chap.VIII. Paris: Hermann, 1970
    • (1970) Algèbre.
    • Bourbaki, N.1
  • 7
    • 0032168229 scopus 로고    scopus 로고
    • Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
    • 7. Bros, J., Epstein, H., and Moschella, U.: Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time. Commun. Math. Phys. 186, 535 (1998)
    • (1998) Commun. Math. Phys. , vol.186 , pp. 535
    • Bros, J.1    Epstein, H.2    Moschella, U.3
  • 8
    • 0000474431 scopus 로고    scopus 로고
    • The microlocal spectrum condition and the Wick's polynomials of free fields
    • 8. Brunetti, R., Fredenhagen, K., and Köhler, M.: The microlocal spectrum condition and the Wick's polynomials of free fields. Commun. Math. Phys. 180, 633 (1996)
    • (1996) Commun. Math. Phys. , vol.180 , pp. 633
    • Brunetti, R.1    Fredenhagen, K.2    Köhler, M.3
  • 13
    • 0000601650 scopus 로고
    • 4 field theory in curved spac-times
    • 4 field theory in curved spac-times. Ann. of Phys. 131, 118 (1981)
    • (1981) Ann. of Phys. , vol.131 , pp. 118
    • Bunch, T.S.1
  • 14
    • 0000282394 scopus 로고
    • Radiation damping in a gravitational field
    • 14. De Witt, B. S., and Brehme, R. W.: Radiation damping in a gravitational field. Ann. of Phys. 9, 220 (1965)
    • (1965) Ann. of Phys. , vol.9 , pp. 220
    • De Witt, B.S.1    Brehme, R.W.2
  • 15
    • 36749104560 scopus 로고
    • Scalar quantum field in an external gravitational field
    • 15. Dimock, J.: Scalar quantum field in an external gravitational field. J. Math. Phys. 20, 2549 (1979)
    • (1979) J. Math. Phys. , vol.20 , pp. 2549
    • Dimock, J.1
  • 16
    • 84987047465 scopus 로고
    • Renormalization of quantum electrodynamics in an arbitrary strong time independent external field
    • 16. Dosch, H. G., and Müller, V. F.: Renormalization of quantum electrodynamics in an arbitrary strong time independent external field. Fort, der Physik 23, 661 (1975)
    • (1975) Fort, Der Physik , vol.23 , pp. 661
    • Dosch, H.G.1    Müller, V.F.2
  • 17
    • 0001359817 scopus 로고
    • Fourier integral operators II
    • 17. Duistermaat, J. J., and Hörmander, L.: Fourier integral operators II. Acta Math. 128, 183 (1973)
    • (1973) Acta Math. , vol.128 , pp. 183
    • Duistermaat, J.J.1    Hörmander, L.2
  • 18
    • 0033244237 scopus 로고    scopus 로고
    • A local (perturbative) construction of observables in gauge theories: The example of QED
    • 18. Dütsch, M., and Fredenhagen, K.: A local (perturbative) construction of observables in gauge theories: The example of QED. Commun. Math. Phys. 203, 71 (1999)
    • (1999) Commun. Math. Phys. , vol.203 , pp. 71
    • Dütsch, M.1    Fredenhagen, K.2
  • 19
    • 0002106863 scopus 로고    scopus 로고
    • Providence Rl: American Mathematical Society and International Press
    • 19. Dyson, F.: Collected works. Providence Rl: American Mathematical Society and International Press, 1996
    • (1996) Collected Works
    • Dyson, F.1
  • 20
    • 0000515565 scopus 로고
    • The role of locality in perturbation theory
    • 20. Epstein, H., and Glaser, V.: The role of locality in perturbation theory. Ann. Inst. Henri Poincaré-Section A, vol. XIX, n.3, 211 (1973)
    • (1973) Ann. Inst. Henri Poincaré-Section A , vol.19 , Issue.3 , pp. 211
    • Epstein, H.1    Glaser, V.2
  • 21
    • 0001255971 scopus 로고
    • Adiabatic limit in perturbation theory
    • Velo, G., and Wightman, A. S. (eds.) Dordrecht-Holland: D. Reidel Publishing Co.
    • 21. Epstein, H., and Glaser, V.: Adiabatic limit in perturbation theory. In: Velo, G., and Wightman, A. S. (eds.) Renormalization Theory. Proceedings, Dordrecht-Holland: D. Reidel Publishing Co., 1976
    • (1976) Renormalization Theory. Proceedings
    • Epstein, H.1    Glaser, V.2
  • 22
    • 0003181759 scopus 로고
    • On the Borchers class of a free field
    • 22. Epstein, H.: On the Borchers class of a free field. Nuovo Cimento 27, 886 (1966)
    • (1966) Nuovo Cimento , vol.27 , pp. 886
    • Epstein, H.1
  • 24
    • 0003063661 scopus 로고
    • Generally covariant quantum field theory
    • 24. Fredenhagen, K., and Haag, R.: Generally covariant quantum field theory. Commun. Math. Phys. 108, 91 (1987)
    • (1987) Commun. Math. Phys. , vol.108 , pp. 91
    • Fredenhagen, K.1    Haag, R.2
  • 30
    • 0001740135 scopus 로고
    • On quantum field theory in gravitational background
    • 30. Haag, R., Narnhofer, H., and Stein, U.: On quantum field theory in gravitational background. Commun. Math. Phys. 94, 219 (1984)
    • (1984) Commun. Math. Phys. , vol.94 , pp. 219
    • Haag, R.1    Narnhofer, H.2    Stein, U.3
  • 32
    • 84938421990 scopus 로고
    • Particle creation by black holes
    • 32. Hawking, S.: Particle creation by black holes. Commun. Math. Phys. 43, 199 (1975)
    • (1975) Commun. Math. Phys. , vol.43 , pp. 199
    • Hawking, S.1
  • 33
    • 0001242941 scopus 로고
    • The chronology protection conjecture
    • 33. Hawking, S.: The Chronology protection conjecture. Phys. Rev. D 46, 603 (1992)
    • (1992) Phys. Rev. D , vol.46 , pp. 603
    • Hawking, S.1
  • 34
    • 34547188697 scopus 로고
    • Théorie de la Renormalisation
    • Berlin-Heidelberg: Springer-Verlag
    • 34. Hepp, K.: Théorie de la Renormalisation. Lect. Notes in Phys. 2. Berlin-Heidelberg: Springer-Verlag, 1969
    • (1969) Lect. Notes in Phys. , vol.2
    • Hepp, K.1
  • 37
    • 0002376223 scopus 로고
    • Microlocal analysis and phase space decomposition
    • 37. Iagolnitzer, D.: Microlocal analysis and phase space decomposition, Lett. Math. Phys. 21, 323 (1991)
    • (1991) Lett. Math. Phys. , vol.21 , pp. 323
    • Iagolnitzer, D.1
  • 39
    • 0030292896 scopus 로고    scopus 로고
    • Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetimes
    • 39. Junker, W.: Hadamard states, adiabatic vacua and the construction of physical states for scalar quantum fields on curved spacetimes. Rev. Math. Phys. 8, 1091 (1996)
    • (1996) Rev. Math. Phys. , vol.8 , pp. 1091
    • Junker, W.1
  • 40
    • 0031065071 scopus 로고    scopus 로고
    • Quantum field theories on spacetimes with a compactly generated Cauchy horizon
    • 40. Kay, B. S., Radzikowski, M., and Wald, R. M.: Quantum field theories on spacetimes with a compactly generated Cauchy horizon. Commun. Math. Phys. 183, 533 (1997)
    • (1997) Commun. Math. Phys. , vol.183 , pp. 533
    • Kay, B.S.1    Radzikowski, M.2    Wald, R.M.3
  • 41
    • 0002856008 scopus 로고
    • Theorems on the uniqueness and thermal properties of stationary, non singular, quasifree states on spacetimes with a bifurcate Killing horizon
    • 41. Kay, B. S., and Wald, R. M.: Theorems on the uniqueness and thermal properties of stationary, non singular, quasifree states on spacetimes with a bifurcate Killing horizon. Phys. Rep. 207, 49 (1991)
    • (1991) Phys. Rep. , vol.207 , pp. 49
    • Kay, B.S.1    Wald, R.M.2
  • 43
    • 0002240904 scopus 로고
    • Ph.D. thesis. University of Hamburg
    • 43. Köhler, M.: Ph.D. thesis. University of Hamburg, 1994
    • (1994)
    • Köhler, M.1
  • 44
    • 0003302679 scopus 로고
    • Conical refractions and higher microlocalization
    • Berlin: Springer-Verlag
    • 44. Liess, O.: Conical refractions and higher microlocalization. Lect. Notes in Math. 1555. Berlin: Springer-Verlag, 1993
    • (1993) Lect. Notes in Math. , vol.1555
    • Liess, O.1
  • 45
    • 0001161896 scopus 로고
    • Dimensional regularization in the presence of large background fields
    • 45. Lüscher, M.: Dimensional regularization in the presence of large background fields. Ann. of Phys. 142, 359 (1982)
    • (1982) Ann. of Phys. , vol.142 , pp. 359
    • Lüscher, M.1
  • 46
  • 47
    • 0000280191 scopus 로고
    • Axioms for Euclidean Green's functions: I, II
    • 47. Osterwalder, K. and Schrader, R.: Axioms for Euclidean Green's functions: I, II. Commun. Math. Phys. 31, 81 (1973); ibidem 42, 281 (1975)
    • (1973) Commun. Math. Phys. , vol.31 , pp. 81
    • Osterwalder, K.1    Schrader, R.2
  • 48
    • 33744569052 scopus 로고
    • 47. Osterwalder, K. and Schrader, R.: Axioms for Euclidean Green's functions: I, II. Commun. Math. Phys. 31, 81 (1973); ibidem 42, 281 (1975)
    • (1975) Commun. Math. Phys. , vol.42 , pp. 281
  • 50
    • 0030239988 scopus 로고    scopus 로고
    • Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
    • 49. Radzikowski, M.: Micro-local approach to the Hadamard condition in quantum field theory on curved space-time. Commun. Math. Phys. 179, 529 (1996)
    • (1996) Commun. Math. Phys. , vol.179 , pp. 529
    • Radzikowski, M.1
  • 53
    • 0002374386 scopus 로고
    • Observable algebras in the S-matrix approach
    • 52. Il'in, V. A., and Slavnov, D. A.: Observable algebras in the S-matrix approach. Theor. Math. Phys. 36, 32 (1978)
    • (1978) Theor. Math. Phys. , vol.36 , pp. 32
    • Il'in, V.A.1    Slavnov, D.A.2
  • 54
    • 0003261096 scopus 로고
    • Perturbation expansions in axiomatic field theory
    • Berlin: Springer-Verlag
    • 53. Steinmann, O.: Perturbation Expansions in Axiomatic Field Theory. Lect. Notes in Phys. 11. Berlin: Springer-Verlag, 1971
    • (1971) Lect. Notes in Phys. , vol.11
    • Steinmann, O.1
  • 55
    • 0003333134 scopus 로고
    • Differential algebras in Lagrangean field theory
    • January-February Manuscript
    • 54. Stora, R.: Differential algebras in Lagrangean field theory. ETH Lectures, January-February 1993. Manuscript
    • (1993) ETH Lectures
    • Stora, R.1
  • 57
    • 0001331745 scopus 로고
    • La normalisation des constants dans la theorie des quanta
    • and earlier references therein
    • 56. Stückelberg, E. C. G., and Peterman, A.: La normalisation des constants dans la theorie des quanta. Helv. Phys. Acta 26, 499 (1953); and earlier references therein
    • (1953) Helv. Phys. Acta , vol.26 , pp. 499
    • Stückelberg, E.C.G.1    Peterman, A.2
  • 58
    • 21344479560 scopus 로고
    • Local definitness, primarily and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
    • 57. Verch, R.: Local definitness, primarily and quasiequivalence of quasifree Hadamard quantum states in curved spacetime. Commun. Math. Phys. 160, 507 (1994)
    • (1994) Commun. Math. Phys. , vol.160 , pp. 507
    • Verch, R.1
  • 60
    • 0002387179 scopus 로고
    • Chicago: The University of Chicago Press
    • 59. Wald, R. M.: General Relaitvity. Chicago: The University of Chicago Press, 1984
    • (1984) General Relaitvity
    • Wald, R.M.1
  • 62
    • 21244488433 scopus 로고
    • The back reaction effect in particle creation in curved spacetime
    • 61. Wald, R. M.: The back reaction effect in particle creation in curved spacetime. Commun. Math. Phys. 54, 1 (1977)
    • (1977) Commun. Math. Phys. , vol.54 , pp. 1
    • Wald, R.M.1
  • 63
    • 0003684962 scopus 로고
    • Cambridge: Cambridge University Press
    • 62. Weinberg, S.: The Quantum Theory of Fields. Vol.I-II, Cambridge: Cambridge University Press, 1995-1996
    • (1995) The Quantum Theory of Fields , vol.1-2
    • Weinberg, S.1
  • 65
    • 0001447372 scopus 로고
    • Convergence of Bogoliubov method of renormalization in momentum space
    • 64. Zimmermann, W.: Convergence of Bogoliubov method of renormalization in momentum space. Commun. Math. Phys. 15, 208 (1969)
    • (1969) Commun. Math. Phys. , vol.15 , pp. 208
    • Zimmermann, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.