Resummation of the Two Distinct Large Logarithms in the Broken O(N)-symmetric ϕ⁴-model

Wiesendanger, C. (1996) Resummation of the Two Distinct Large Logarithms in the Broken O(N)-symmetric ϕ⁴-model. (Preprint)

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Abstract

The loop-expansion of the effective potential in the O(N)-symmetric ϕ⁴-model contains generically two types of large logarithms. To resum those systematically a new minimal two-scale subtraction scheme 2MS is introduced in an O(N)-invariant generalization of MS. As the 2MS beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial 2MS renormalization group equations are derived to turn the beta functions into 2MS running parameters. With the use of standard perturbative boundary conditions, which become applicable in 2MS, the leading logarithmic 2MS effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for 1 < N ≤ 4.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:06
Last Modified: 18 Jul 2018 11:23
URI: http://dair.dias.ie/id/eprint/667

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