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

In a certain (non-commutative) version of large-N SU(N) Yang-Mills theorythere are special Wilson loops, called twistor Wilson loops for geometricalreasons, whose v.e.v. is independent on the parameter that occurs in theiroperator definition. There is a semigroup that acts on the parameter byrescaling and on the functional measure, resolved into anti-selfdual orbits bya non-supersymmetric version of the Nicolai map, by contracting the support ofthe measure. As a consequence the twistor Wilson loops are localized on thefixed points of the semigroup of contractions. This localization is anon-supersymmetric analogue of the localization that occurs in the Nekrasovpartition function of the n=2 SUSY YM theory on the fixed points of a certaintorus action on the moduli space of (non-commutative) instantons. One mainconsequence of the localization in the large-N YM case, as in the n=2 SUSY YMcase, is that the beta function of the Wilsonian coupling constant in theanti-selfdual variables is one-loop exact. Consequently the large-N Yang-Millscanonical beta function has a NSVZ form that reproduces the first two universalperturbative coefficients.

Large-N Wilsonian beta function in SU(N) Yang-Mills theory by localization on the fixed points of a semigroup contracting the functional measure