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Prog. Theor. Phys. Vol. 72 No. 4 (1984) pp. 873-876

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Letters

A Constraint from the Källen-Lehmann Representation on the (φ4)4 Theory

Yoshimi Matsubara, Tsuneo Suzuki and Ichiro Yotsuyanagi*

Department of Physics, Kanazawa University, Kanazawa 920
*Department of Physics, Kanazawa Medical University, Ishikawa 920-02

(Received June 18, 1984)

Abstract:

It is proved that the φ4 theory in four dimensions is inconsistent unless it is asymptotically free or Z3 =0. The Källen-Lehmann spectral representation and the renormalizability are used.


URL : http://ptp.ipap.jp/link?PTP/72/873/
DOI : 10.1143/PTP.72.873

[ Full Text PDF : FREE ACCESS (281K) ] Citation:


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