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Prog. Theor. Phys. Vol. 73 No. 2 (1985) pp. 504-511

On the Renormalized Coupling Constant of (φ⁴)₄ Field Theory

Kei-ichi Kondo

Department of Physics, Nagoya University, Nagoya 464

(Received October 8, 1984)

Abstract:

We show, apart from a correlation inequality for the 6-point function, that the critical or continuum limit of (φ⁴)₄ lattice field theory is trivial, if some deviations from the mean field theory law are present at the critical point, and if we impose a mild behavior of bare 4-point coupling constant as we approach the critical point. These results are derived from the bounds on the renormalized coupling constant of lattice (φ⁴)_d field theory.

URL : http://ptp.ipap.jp/link?PTP/73/504/
DOI : 10.1143/PTP.73.504

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 74 No. 1 (1985) pp. 152-169 :

   Order Parameter for Charge Confinement and Phase Structures in the Lattice U(1) Gauge-Higgs Model

   Kei-ichi Kondo

2. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 473-490 :

   The Triviality of Scalar Field Theories from the Viewpoint of Statistical Mechanics

   Kei-ichi Kondo

3. Progress of Theoretical Physics Vol. 79 No. 5 (1988) pp. 1217-1248 :

   Inconsistency of the λΦ⁴ Field Theory in High-Dimensions Constructed from the Broken-Symmetry Phase

   Kei-ichi Kondo

4. Progress of Theoretical Physics Supplement No.92 (1987) pp. 1-13 :

   Scalar Field Theory from Statistical Mechanics

   Takashi Hara, Tetsuya Hattori, Kei-ichi Kondo and Hal Tasaki

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