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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We extend the exact multilocal renormalization group (RG) method to study theflow of the effective action functional. This important physical quantitysatisfies an exact RG equation which is then expanded in multilocal components.Integrating the nonlocal parts yields a closed exact RG equation for the localpart, to a given order in the local part. The method is illustrated on the O(N)model by straightforwardly recovering the $\eta$ exponent and scalingfunctions. Then it is applied to study the glass phase of the Cardy-Ostlund,random phase sine Gordon model near the glass transition temperature. Thestatic correlations and equilibrium dynamical exponent $z$ are recovered andseveral new results are obtained. The equilibrium two-point scaling functionsare obtained. The nonequilibrium, finite momentum, two-time $t,t'$ response andcorrelations are computed. They are shown to exhibit scaling forms,characterized by novel exponents $\lambda_R \neq \lambda_C$, as well asuniversal scaling functions that we compute. The fluctuation dissipation ratiois found to be non trivial and of the form $X(q^z (t-t'), t/t')$. Analogies anddifferences with pure critical models are discussed.Comment: 33 pages, RevTe

Exact multilocal renormalization of the effective action: Application to the random sine Gordon model statics and nonequilibrium dynamics