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 perform the all-loop renormalization of the O($N$) $\lambda\phi^{4}$scalar field theory with Lorentz violation which is exact in theLorentz-violating $K_{\mu\nu}$ coefficients. This task is fulfilledanalytically firstly explicitly at next-to-leading order and later at all looplevels through an induction process based on a general theorem emerging fromthe exact approach. We show that the exact results reduce to the approximatedones, previously obtained, in the appropriated limit and comment on theirimplications. The current exact calculation involving such a symmetry breakingmechanism in the referred theory is the first one in literature for ourknowledge. At the end, we analyze the effect of Lorentz violation on theasymptotic single-particle states.

Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory