A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory

Details A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory

1996-04-23

arxiv.org/abs/hep-ph/9604392v1

Phys.Rev. D55 (1997) 2202-2217

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, LaTex, no figures (a version with three figures is available from the authors)

Scientific paper

10.1103/PhysRevD.55.2202

To resum large logarithms in multi-scale problems a generalization of $\MS$ is introduced allowing for as many renormalization scales as there are generic scales in the problem. In the new \lq\lq minimal multi-scale subtraction scheme'' standard perturbative boundary conditions become applicable. However, the multi-loop beta functions depend on the various renormalization scale ratios and a large logarithms resummation has to be performed on them. Using these improved beta functions the \lq\lq partial'' renormalization group equations corresponding to the renormalization point independence of physical quantities allows one to resum the logarithms. As an application the leading and next-to-leading order two-scale analysis of the effective potential in the $O(N)$-symmetric $\phi^4$-theory is performed. This calculation indicates that there is no stable vacuum in the broken phase of the theory for $1

Affiliated with

Also associated with

No associations

Rating

A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Multi-scale Subtraction Scheme and Partial Renormalization Group Equations in the $O(N)$-symmetric $φ^4$-theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490769