Lattice measurement of the scalar propagator near the symmetry breaking phase transition

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dc.creatorCea, P.
dc.creatorConsoli, M.
dc.creatorCosmai, L.
dc.date2001-01-05
dc.date.accessioned2026-07-07T03:43:35Z
dc.date.available2026-07-07T03:43:35Z
dc.descriptionRecent lattice simulations of $(λΦ^4)_4$ theories in the broken phase show that : a) the shifted field propagator is well reproduced by the simple 2-parameter form ${Z_{\rm prop}\over{p^2 + M^2_h}}$ at finite momenta but strongly differs for $p \to 0$ b) the bare zero-momentum two-point function $Γ_2(0)= \frac{d^2 V_{\rm eff}}{d ϕ^2_B}|_{ϕ_B= \pm v_B}$ gives a value of $Z_ϕ\equiv {{M^2_h}\over{Γ_2(0)}}$ that increases when approaching the continuum limit. This supports theoretical expectations where $v_B$ is related by an infinite re-scaling to the `physical Higgs condensate' $v_R$ defined through $\frac{d^2 V_{\rm eff}}{d ϕ^2_R}|_{ϕ_R= \pm v_R}=M^2_h$. New lattice data collected around the phase transition confirm this scenario. By denoting $M_{\rm SB} \equiv M_h ={\cal O} (v_R)$ the scale of the broken phase, our results suggest the existence of a `hierarchy' of scales $Γ_2(0) \ll M^2_{\rm SB} \ll v^2_B$ 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 $M_h$ and accomodate very different mass scales in the framework of a spontaneously broken theory.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0101050
dc.identifierhttp://arxiv.org/abs/hep-ph/0101050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/40272
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleLattice measurement of the scalar propagator near the symmetry breaking phase transition
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