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One-loop finite potential for N-2 scalars from N quantum fields

Yoshinori Cho·Nahomi Kan·Kenji Sakamoto·Kiyoshi Shiraishi
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Abstract

We study the one-loop effective potential induced from quantum fluctuation of a finite number of fields. A series expansion in terms of the modified Bessel functions is useful to evaluate the one-loop effective potential. We find that at most $N-2$ scalars parameterize the one-loop finite potential and the explicit parameterization is shown. The structure of the potential for N=4 is investigated as the simplest case. The implication of the model is discussed.

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Yoshinori Cho, Nahomi Kan, Kenji Sakamoto, Kiyoshi Shiraishi. 2003-07-15. One-loop finite potential for N-2 scalars from N quantum fields. https://arxiv.org/abs/hep-ph/0307187

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