Phase structure and phase transitions of the SU(2) x O(N) symmetric scalar field theory

TL;DR

This paper demonstrates that radiative effects can induce SU(2) symmetry breaking in a large N scalar field theory, revealing a novel mechanism that can replicate electroweak scale phenomena.

Contribution

It introduces a new symmetry breaking mechanism in SU(2) x O(N) theories, applicable even with positive squared masses, and connects to electroweak physics.

Findings

Symmetry breaking occurs radiatively even with positive mass squared.

The mechanism reproduces electroweak scale condensate and Higgs mass.

Large N limit facilitates analytical solutions.

Abstract

Radiatively induced SU(2) symmetry breaking is shown to be a genuine feature of SU(2) x O(N) globally symmetric renormalisable field theories in the large N limit, describing interaction of a complex SU(2) doublet, O(N)-singlet field with an SU(2) singlet, O(N) vector. Symmetry breaking solutions are found even when all fields have positive renormalised squared mass. The emerging novel mechanism of symmetry breaking can reproduce with a choice of N~300 the standard range of the electroweak condensate and the Higgs mass occurring in the extended Higgs dynamics of an SU(2) symmetric Gauge+Higgs model.