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

Suggesting two versions for the Plakida-Tserkovnikov algorithm breakdown inthe low-temperature regime, we derive ordinary and nested Dyson equations forthe transverse autocorrelator of the magnetically polarized Ising chain. Usingthem we get the corresponding low-temperature asymptotics for theautocorrelator. We show that the ordinary Dyson equation results in a correct$o({\rm e}^{-\beta E_{gap}})$ account of the magnon creation process, while thenested Dyson equation additionally gives the correct $o({\rm e}^{-\betaE_{gap}})$ contribution associated with transitions from magnons to boundtwo-magnon states. The obtained result may be useful for the extension of thesuggested approach on the polarized $XXZ$-chain.

Low-temperature asymptotics for transverse autocorrelator of the magnetically polarized Ising chain studied by ordinary and nested Dyson equations