Abstract
We study the effective potential of three perturbatively nonrenormalizable scalar field theories, (λ φ 4+g φ 6)3+,λ φ 44+1 andλ φ 45+1 , by nonperturbative methods. The requirements of existence, finiteness and interaction seem to demand such a weak nonrenormalizable interaction that no or little effects remain at the quantum level.
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References
P.M. Stevenson, R. Tarrach: Phys. Lett.B176, 436 (1986)
P.M. Stevenson: Z. Phys. C — Particles and Fields24, 87 (1984); P.M. Stevenson: Phys. Rev.D32, 1389 (1985)
K. Symanzik: Commun. Math. Phys.45, 79 (1975); K. Symanzik: Acta Aust. Suppl.16, 177 (1976)
G.A. Baker, Jr., J.D. Johnson: J. Phys.A18, L261 (1985)
K. Gawedzki, A. Kupiainen: Phys. Rev. Lett.55, 363 (1985); K. Gawedzki, A. Kupiainen: Nucl. Phys.B262, 33 (1985)
C.G. Bollini, J.J. Giambiagi: Centro Brasileiro de Pesquisas Físicas preprint, CBPF-NF-046/84
M. Aizenman: Phys. Rev. Lett.47, 1 (1981); Commun. Math. Phys.86, 1 (1982); J. Fröhlich: Nucl. Phys.B200, [FS4], 281 (1982)
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Paban, S., Taron, J. & Tarrach, R. On the existence of interacting perturbatively nonrenormalizable quantum field theories. Z. Phys. C - Particles and Fields 34, 85–89 (1987). https://doi.org/10.1007/BF01561119
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DOI: https://doi.org/10.1007/BF01561119