English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

To resum large logarithms in multi-scale problems a generalization of $\MS$is introduced allowing for as many renormalization scales as there are genericscales in the problem. In the new \lq\lq minimal multi-scale subtractionscheme'' standard perturbative boundary conditions become applicable. However,the multi-loop beta functions depend on the various renormalization scaleratios and a large logarithms resummation has to be performed on them. Usingthese improved beta functions the \lq\lq partial'' renormalization groupequations corresponding to the renormalization point independence of physicalquantities allows one to resum the logarithms. As an application the leadingand next-to-leading order two-scale analysis of the effective potential in the$O(N)$-symmetric $\phi^4$-theory is performed. This calculation indicates thatthere is no stable vacuum in the broken phase of the theory for $1<N\leq4$.Comment: 27 pages, LaTex, no figures (a version with three figures is  available from the authors

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Multiscale subtraction scheme and partial renormalization group equations in the O<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>-symmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>theory

Multiscale subtraction scheme and partial renormalization group equations in the O(N)-symmetricφ4theory