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

The strong evidence for the `triviality' of (lambda Phi^4)_4 theory is notincompatible with spontaneous symmetry breaking. Indeed, for a `trivial' theorythe effective potential should be given exactly by the classical potential plusthe free-field zero-point energy of the shifted field; i.e., by the one-loopeffective potential. When this is renormalized in a simple, but nonperturbativeway, one finds, self-consistently, that the shifted field does becomenon-interacting in the continuum limit. For a classically scale-invariant (CSI)lambda Phi^4 theory one finds m_h^2 = 8 pi^2 v^2, predicting a 2.2 TeV Higgsboson. Here we extend our earlier work in three ways: (i) we discuss theanalogy with the hard-sphere Bose gas; (ii) we extend the analysis from the CSIcase to the general case; and (iii) we propose a test of the predicted shape ofthe effective potential that could be tested in a lattice simulation.Comment: 22 pages, LaTeX, DE-FG05-92ER40717-

The non-trivial effective potential of the ‘trivial’ λΦ4 theory: A lattice test