Spontaneously breaking non-Abelian gauge symmetry in non-Hermitian field theories

TY - JOUR

T1 - Spontaneously breaking non-Abelian gauge symmetry in non-Hermitian field theories

AU - Alexandre, Jean

AU - Ellis, John

AU - Millington, Peter

AU - Seynaeve, Dries

PY - 2020/2

Y1 - 2020/2

N2 - We generalize our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses for vector bosons. As in the Abelian case, the non-Abelian gauge fields are coupled to nonconserved currents. We present a consistent scheme for gauge fixing, demonstrating Becchi-Rouet-Stora-Tyutin invariance, and show that the particle spectrum and interactions are gauge invariant. We exhibit the masses that gauge bosons in the simplest two-doublet SU(2)×U(1) model acquire when certain scalar fields develop vacuum expectation values: they and scalar masses depend quartically on the non-Hermitian mass parameter μ. The bosonic mass spectrum differs substantially from that in a Hermitian two-doublet model. This non-Hermitian extension of the Standard Model opens a new direction for particle model building, with distinctive predictions to be explored further.

AB - We generalize our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses for vector bosons. As in the Abelian case, the non-Abelian gauge fields are coupled to nonconserved currents. We present a consistent scheme for gauge fixing, demonstrating Becchi-Rouet-Stora-Tyutin invariance, and show that the particle spectrum and interactions are gauge invariant. We exhibit the masses that gauge bosons in the simplest two-doublet SU(2)×U(1) model acquire when certain scalar fields develop vacuum expectation values: they and scalar masses depend quartically on the non-Hermitian mass parameter μ. The bosonic mass spectrum differs substantially from that in a Hermitian two-doublet model. This non-Hermitian extension of the Standard Model opens a new direction for particle model building, with distinctive predictions to be explored further.

UR - http://www.scopus.com/inward/record.url?scp=85079767491&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.101.035008

DO - 10.1103/PhysRevD.101.035008

M3 - Article

AN - SCOPUS:85079767491

SN - 2470-0010

VL - 101

SP - 1

EP - 15

JO - Physical Review D

JF - Physical Review D

IS - 3

M1 - 035008

ER -