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

We consider a class of Hamiltonians describing a fermion field coupled to aboson field. The interaction kernels are assumed bounded in the fermionicmomentum variable and decaying like $|q|^{-p}$ for large boson momenta $q$. Arealistic physical case would be $p=\frac12$. We impose a spatial cutoff andUV-renormalise the resulting Hamiltonian by subtracting its ground stateenergy. Our renormalisation procedure works for the physically realistic value$p=\frac12$ in spatial dimensions $1$ and $2$ and for $p>\frac34$ in spatialdimension $d=3$.

Ultraviolet Renormalisation of a quantum field toy model I