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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Critical exponent $\eta$ (Fisher exponent) in $O(N)$-symmetric$\varphi^4$-model was calculated using renormalization group approach in thespace of fixed dimension $D=2$ up to 6~loops. The calculation of therenormalization constants was performed with the use of $R'$-operation andspecific values for diagrams were calculated in Feynman representation usingsector decomposition method. Presented approach allows easy automation andgeneralization for the case of complex symmetries. Also a summation of theperturbation series was obtained by Borel transformation with conformalmapping. The contribution of the 6-th term of the series led to the increase ofthe Fisher exponent in $O(1)$ model up to $8\%$.

Critical exponent $\eta$ in 2D $O(N)$-symmetric $\varphi^4$-model up to 6~loops