Three-Loop Effective Potential of O(N) $φ^4$ Theory

Details Three-Loop Effective Potential of O(N) $φ^4$ Theory Three-Loop Effective Potential of O(N) $φ^4$ Theory

1998-07-26

arxiv.org/abs/hep-ph/9807498v4

J.KoreanPhys.Soc.33:643-654,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex, 22 pages, 9 ps figures plus 4 embeded figures, macro dratex.sty included, typos corrected

Scientific paper

The three-loop effective potential of the massless O(N) $\phi^4$ theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw's result obtained only up to two-loop order using a different regularization (cutoff regularization) method, but the same renormalization conditions. For an easy check of the mutual cancellation of all the dangerous pole terms in each loop order, we give the $\epsilon$-expanded loop integrals in full detail.

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