2001/01/05 by P. Cea, Paolo Cea, M. Consoli +4
Engineering · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Terahertz technology and applications #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-ph/0101050
15 pages, 5 figures
arxiv created 2001/01/05 · openalex publication_date 2001/01/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recent lattice simulations of (λΦ4)4 theories in the broken phase show that : a) the shifted field propagator is well reproduced by the simple 2-parameter form Z\rm prop\overp2 + M2h at finite momenta but strongly differs for p → 0 b) the bare zero-momentum two-point function Γ2(0)= \fracd2 V\rm effd ϕ2B|ϕB= ± vB gives a value of Zϕ≡ M2h\overΓ2(0) that increases when approaching the continuum limit. This supports theoretical expectations where vB is related by an infinite re-scaling to the `physical Higgs condensate' vR defined through \fracd2 V\rm effd ϕ2R|ϕR= ± vR=M2h. New lattice data collected around the phase transition confirm this scenario. By denoting M\rm SB ≡ Mh =\cal O (vR) the scale of the broken phase, our results suggest the existence of a `hierarchy' of scales Γ2(0) ≪ M2\rm SB ≪ v2B that become infinitely far in the continuum limit. This may open unexpected possibilities to reconcile an infinitesimal slope of the effective potential with finite values of Mh and accomodate very different mass scales in the framework of a spontaneously broken theory.