Prog. Theor. Phys. Vol. 45 No. 2 (1971) pp. 628-639

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Asymptotic Fields in Model Field Theories. I

— λ(φ⁴)₂ with a Space Cutoff —

Yusuke Kato and Nobumichi Mugibayashi^*

Physics Laboratory, Faculty of Education, Kobe University, Kobe
^*Department of Physics, Kobe University, Kobe

(Received September 12, 1970)

Abstract:

It is proved that the λ(φ⁴)₂ quantum field theory with a space cutoff has asymptotic fields as a strong limit of operators in Fock space. The commutation relations between these asymptotic operators and the total Hamiltonian inform us in part of the spectrum of the total Hamiltonian.

URL : http://ptp.ipap.jp/link?PTP/45/628/
DOI : 10.1143/PTP.45.628

References:

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Citing Article(s) :

Progress of Theoretical Physics 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
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 659-687 :
Bound States and Asymptotic Fields in the Translational-Invariant Lee Model

Yusuke Kato and Katsuhiko Sekine

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