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 this paper, we investigate the application of the Renormalization GroupEquation (RGE) in the determination of the effective potential and the study ofDynamical Symmetry Breaking (DSB) in a massless Abelian Higgs (AH) model withan N-component complex scalar field in (3+1) dimensional spacetime. Theclassical Lagrangian of this model has scale invariance, which can be broken byradiative corrections to the effective potential. It is possible to calculatethe effective potential using the RGE and the renormalization group functionsthat are obtained directly from loop calculations of the model and, using theleading logs approximation, information about higher loop orders can beincluded in the effective potential thus obtained. To show this, we use therenormalization group functions reported in the literature, obtained with afour loop calculation, and obtain a five loop approximation to the effectivepotential, in doing so, we have to properly take into account the fact that themodel has multiple scales, and convert the functions that were originallycalculated in the minimal subtraction (MS) renormalization scheme to anotherscheme which is adequate for the RGE method. This result is then used to studythe DSB, and we present evidence for a rich structure of classical vacua,depending on the value of gauge coupling constant and number of scalar fields,which are considered as free parameters.

Effective potential and dynamical symmetry breaking up to five loops in a massless abelian Higgs model