ar X iv : h ep - p h / 98 07 49 8 v 4 2 3 N ov 1 99 8 Three - Loop Effective Potential of O ( N ) φ 4 Theory
نویسنده
چکیده
The three-loop effective potential of the massless O(N) φ4 theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw’s result which was 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 ǫ-expanded loop integrals in full detail.
منابع مشابه
ar X iv : h ep - p h / 98 07 49 8 v 3 2 1 A ug 1 99 8 Three - Loop Effective Potential of O ( N ) φ 4 Theory
The three-loop effective potential of the massless O(N) φ4 theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw’s result which was 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 cancel...
متن کاملar X iv : h ep - p h / 98 07 49 8 v 2 1 4 A ug 1 99 8 Three - Loop Effective Potential of O ( N ) φ 4 Theory
The three-loop effective potential of the massless O(N) φ4 theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw’s result which was 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 cancel...
متن کاملar X iv : h ep - p h / 98 07 49 8 v 1 2 6 Ju l 1 99 8 Three - Loop Effective Potential of O ( N ) φ 4 Theory
The three-loop effective potential of the massless O(N) φ4 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 ...
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Using the method of Chetyrkin, Misiak, and Münz we calculate analytically a class of three-loop vacuum diagrams with two different mass values, one of which is one-third as large as the other. In particular, this specific mass ratio is of great interest in relation to the three-loop effective potential of the O(N) φ4 theory. All pole terms in ǫ = 4−D (D being the space-time dimensions in a dime...
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