Light-Front Holography and Novel Collider Physics

2 Bosonic ModesBosonic Solutions: Hard Wall Model• Conformal metric: ds 2 = g m dx dx m . x = (x µ , z), g m → R 2 /z 2 η m .• Action for massive scalar modes on AdS d+1 :S[Φ] = 1 2d d+1 x √ g 1 2g m ∂ Φ∂ m Φ − µ 2 Φ 2 ,√ g → (R/z) d+1 .• Equation of motion1 ∂ √√ g gm ∂g ∂x ∂x m Φ + µ 2 Φ = 0.• Factor out dependence along x µ -coordinates , Φ P (x, z) = e −iP ·x Φ(z), P µ P µ = M 2 :z 2 ∂ 2 z − (d − 1)z ∂ z + z 2 M 2 − (µR) 2 Φ(z) = 0.• Solution: Φ(z) → z ∆ as z → 0,Chile LHCJanuary 8, 2010Φ(x, z) = Cz d 2 J∆− dΦ(z) = Cz d/2 J ∆−d/2 (zM)• Normalization2d = 4R d−1 Λ−1(zM) , ∆ = 1 2d + d 2 + 4µ 2 R 2 .∆ = 2 + L (µR) 2 = L 2 − 4QCDLF Holography 0 and QCD42dzz d−1 Φ2 S=0(z) = 1.Press and Media : SLAC National Accelerator LaboratoryStan BrodskySLACHOME RESEARCH SCIENTIFIC PROGRAMS