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Prog. Theor. Phys. Vol. 49 No. 1 (1973) pp. 329-340

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Neutral Scalar Field Theory with a Point Source

Shigeaki Nagamachi and Nobumichi Mugibayashi*

Department of Mathematics, Kobe University, Kobe
*Department of Physics, Kobe University, Kobe

(Received July 21, 1972)

Abstract:

The theory of neutral scalar field in interaction with a point source is studied exhaustively in the light of the algebraic formulation of quantum field theory. Emphases are laid on observing again the case of an extended source from the present viewpoint, and exhibiting the equivalence of two definitions of the renormalized Hilbert space by GNS construction and by infinite tensor product.


URL : http://ptp.ipap.jp/link?PTP/49/329/
DOI : 10.1143/PTP.49.329

[ Full Text PDF : FREE ACCESS (903K) ] Citation:

References:

  1. L. van Hove, Physica 18 (1952), 145[CrossRef].
  2. O. Miyatake, Journ. Polytech., Osaka City Univ. A 2 (1952), 89; ibid. 3 (1952), 145.
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  9. See, e.g., F. A. Berezin, The Methods of Second Quantization (Academic Press, New York and London, 1966).
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  15. J. M. Cook, Transa. Am. Math. Soc. 74 (1953), 222.
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  17. J. Dixmier, Les C*-Algèbres et leurs Représentations (Gauthier-Villars, Paris, 1964).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1813-1826 :
    Locally Markov Fields and Hamiltonian
    Shigeaki Nagamachi and Nobumichi Mugibayashi
  2. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 781-794 :
    Exchange-Correlation Effects on the Higher-Order Polarizations of an Electron Gas
    Kuniyoshi Ebina, Hitose Nagara and Hiroshi Miyagi

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