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Prog. Theor. Phys. Vol. 48 No. 1 (1972) pp. 281-289
Hamiltonian Defined as a Graph Limit in a Simple System with an Infinite Renormalization
Masakazu Aoki and
Nobumichi Mugibayashi*
Physics Laboratory, Faculty of Education, Kagawa University, Takamatsu
*Department of Physics, Kobe University, Kobe
(Received January 8, 1972; Revised February 2, 1972)
Abstract:
The Hamiltonian of the neutral scalar field in interaction with a fixed source, when the infinite renormalization of vacuum energy is necessary, is defined by the graph limit of approximate Hamiltonians. Remarks are made on the asymptotic fields in this case.
URL :
http://ptp.ipap.jp/link?PTP/48/281/
DOI : 10.1143/PTP.48.281
References:
- Y. Kato and N. Mugibayashi, Prog. Theor. Phys. 30 (1963), 103[PTP].
- N. Mugibayashi and Y. Kato, Prog. Theor. Phys. 31 (1964), 300[PTP].
- K. O. Friedrichs, Perturbation of Spectra in Hilbert Space (Amer. Math. Soc., Providence, 1965).
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R. Høegh-Krohn, Commun. Math. Phys. 18 (1970), 109[CrossRef].
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R. Høegh-Krohn, Commun. Math. Phys. 21 (1971), 256[CrossRef].
- Y. Kato and N. Mugibayashi, Prog. Theor. Phys. 45 (1971), 628[PTP].
- M. Aoki, Y. Kato and N. Mugibayashi, preprint (1971).
- J. Dimock, Harvard University Preprints (1971).
- Y. Kato and N. Mugibayashi, Prog. Theor. Phys. 30 (1963), 409[PTP].
- N. Mugibayashi, preprint (1971) (A talk delivered at the International Seminar on Statistical Mechanics and Field Theory, Haifa, Israel, August, 1971).
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J. Glimm and A. Jaffe, Ann. of Phys. 60 (1970), 321[CrossRef].
- J. Glimm and A. Jaffe, Commun. Pure Appl. Math. 22 (1969), 401.
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J. Glimm, Commun. Math. Phys. 5 (1967), 343[CrossRef].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 329-340
:
-
Neutral Scalar Field Theory with a Point Source
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Shigeaki Nagamachi and Nobumichi Mugibayashi
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Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1813-1826
:
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Locally Markov Fields and Hamiltonian
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Shigeaki Nagamachi and Nobumichi Mugibayashi
