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Prog. Theor. Phys. Vol. 54 No. 5 (1975) pp. 1537-1545

On the Ground State of O(N)-λφ⁴ Model

Makoto Kobayashi and Taichiro Kugo

Department of Physics, Kyoto University, Kyoto 606

(Received April 18, 1975)

Abstract:

A possible ground state of O(N)-λφ⁴ model is found in the leading order of 1/N expansion. This vacuum does not break the O(N) symmetry and all components of φ have a common mass. The renormalized coupling constant on this vacuum is always found to be negative irrespective of the initial coupling renormalized at some point. The four-point Green's function has no tachyon poles on this ground state contrary to the situations on the old one. Plausible arguments for these features to remain also in higher orders are given. Many similarities are noted with the theory with a negative bare coupling constant in 2 (or 1 or 3) dimensions. Stability of the theory is also discussed.

URL : http://ptp.ipap.jp/link?PTP/54/1537/
DOI : 10.1143/PTP.54.1537

[ Full Text PDF : FREE ACCESS (662K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. G. Jona-Lasinio, Nuovo Cim. 34 (1964), 1790.
   S. Coleman and E. Weinberg, Phys. Rev. D 7 (1973), 1888[APS].
2. S. Coleman, R. Jackiw and H. D. Politzer, Phys. Rev. D 10 (1974), 2491[APS].
3. L. Dolan and R. Jackiw, Phys. Rev. D 9 (1974), 3320[APS].
   H. J. Schnitzer, Phys. Rev. D 10 (1974), 1800[APS].

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