1996/09/16 by C. Wiesendanger, Wiesendanger, C.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9609129
11 pages, LaTeX. Talk given at The Third International Conference Renormalization Group - 96, Dubna, Russia, 26 - 31 August 1996
arxiv created 1996/09/16 · arxiv updated 2009/11/30
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 \tMS is introduced in an O(N)-invariant generalization of \MS. As the \tMS beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial \tMS renormalization group equations are derived to turn the beta functions into \tMS running parameters. With the use of standard perturbative boundary conditions, which become applicable in \tMS, the leading logarithmic \tMS effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for 1<N≤ 4.