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Prog. Theor. Phys. Vol. 53 No. 6 (1975) pp. 1813-1826
Locally Markov Fields and Hamiltonian
Shigeaki Nagamachi and
Nobumichi Mugibayashi*
Department of Mathematics, Faculty of Engineering, Tokushima University, Tokushima
*Department of Electrical Engineering, Kobe University, Kobe
(Received November 11, 1974)
Abstract:
Conditions are given for a locally Markov field as a limit of Markov fields to have a Hamiltonian H*. It is shown that H* is unitarily related to the total Hamiltonian minus the vacuum energy, when the latter is properly defined. The present formulation is conveniently illustrated by constructing the Euclidean version of the theory of neutral scalar field interacting with a fixed source.
URL :
http://ptp.ipap.jp/link?PTP/53/1813/
DOI : 10.1143/PTP.53.1813
References:
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- E. Nelson, J. Func. Anal. 12 (1973), 211.
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R. Schrader, Commun. Math. Phys. 36 (1974), 133[CrossRef].
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See also H. Ezawa, Prog. Theor. Phys. 30 (1963), 545[PTP].
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