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3
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Arakelyan, T.1
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Manvelyan, R.P.3
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19
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0000025602
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J. de Boer, B. Peeters, K. Skenderis, and P. van Nieuwenhuizen, Nucl. Phys. B 446, 211 (1995).
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Nucl. Phys. B
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De Boer, J.1
Peeters, B.2
Skenderis, K.3
Van Nieuwenhuizen, P.4
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20
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0030597557
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J. de Boer, B. Peeters, K. Skenderis, and P. van Nieuwenhuizen, Nucl. Phys. B 459, 631 (1996).
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Nucl. Phys. B
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De Boer, J.1
Peeters, B.2
Skenderis, K.3
Van Nieuwenhuizen, P.4
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23
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85034143662
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note
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Other examples of the coordinate space approach are the operator product expansion method and the lattice field theory. The former was exploited in the 2 dim conformal field theory. Traditionally the coordinate space has been used for the analysis of conformally invariant or covariant Green's functions. For example, see a recent progress of Ref. 24.
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25
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85034153887
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note
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The heat kernel is formulated in the coordinate space, using the quantum-mechanical nonlinear sigma model, and the Feynman rules are given in Refs. 11, 12, 19, 20.
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27
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85034144077
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note
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It must be compared with the dimensional regularisation.
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29
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34248672956
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K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); 44, 1733 (1980); Phys. Rev. D 21, 2848 (1980); 22, 1499(E) (1980).
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Phys. Rev. Lett.
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Fujikawa, K.1
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30
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26744450269
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K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); 44, 1733 (1980); Phys. Rev. D 21, 2848 (1980); 22, 1499(E) (1980).
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(1980)
Phys. Rev. Lett.
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, pp. 1733
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31
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4243648786
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K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); 44, 1733 (1980); Phys. Rev. D 21, 2848 (1980); 22, 1499(E) (1980).
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(1980)
Phys. Rev. D
, vol.21
, pp. 2848
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32
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33744577255
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K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); 44, 1733 (1980); Phys. Rev. D 21, 2848 (1980); 22, 1499(E) (1980).
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Phys. Rev. D
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33
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0346066883
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edited by Sato and Inami World Scientific, Singapore, This is the good review of the series of works by Fujikawa
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K. Fujikawa, Lecture in Quantum Gravity and Cosmology, Kyoto Summer Institute 1985, edited by Sato and Inami (World Scientific, Singapore, 1985), p. 106. This is the good review of the series of works by Fujikawa.
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(1985)
Lecture in Quantum Gravity and Cosmology, Kyoto Summer Institute 1985
, pp. 106
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Fujikawa, K.1
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37
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85034133362
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note
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15 where he analyzed using the normal coordinates in order to keep the general covariance manifestly.
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40
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85034138366
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note
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0(x-y;t) requires the directedness.
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41
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85034149202
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note
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μ and M, not the speciality of the present model. The relevant-part selection in this section is valid for general theories.
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42
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85034121825
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note
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-2, . . . , are considered to be canceled by the divergent counterterms. They generally correspond to power divergences (not log divergence) and the counterterms are those operators that have massive couplings: for example, the cosmological term, the Einstein term.
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44
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85034136707
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note
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6 terms give graphs that conflict with the second one of the common features of Graph3 and 67.
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49
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0001485112
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S. A. Fulling, R. C. King, B. G. Wybourne, and C. J. Cummins, Class. Quantum Grav. 9, 1151 (1992).
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(1992)
Class. Quantum Grav.
, vol.9
, pp. 1151
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Fulling, S.A.1
King, R.C.2
Wybourne, B.G.3
Cummins, C.J.4
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51
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85034135512
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note
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3 terms are given by 90 terms shown in the first column of the table in Appendix D.
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