Light-Front Holography and Novel Collider Physics

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$Difracción e Interferencia - Departamento de Física - Universidad ...$

Conformal Behavior of QCD in InfraredConformal QCD Window in Exclusive ProcessesR fixed point? D-S Equation Alkofer, Fischer, LLanes-Es• Does α s develop an IR fixed point? Dyson–Schwinger Equation Alkofer, Fischer, LLanes-Estrada,Deur . . .ions: evidence that α s becomes constant and not small• Recent lattice simulations: evidence that α s becomes constant and is not small in the infraredep-lat/0612009Furui and Nakajima, hep-lat/0612009 (Green dashed curve: DSE). curve: DSE)• Phenomenological success of dimensional scaling laws for exclusive processesΑsqChile LHCJanuary 8, 201043.532.521.5dσ/dt ∼ 1/s n−2 , n = n A + n B + n C + n D ,implies QCD is a strongly coupled conformal theory at moderate but not asymptotic energies10.5Farrar and sjb (1973); Matveev et al. (1973).• Derivation of counting rules for gauge theories with mass gap dual to string theories in warped space-0.4-0.2 0 0.2 0.4 0.6 0.8 1Log_10qGeV(hard behavior instead of soft behavior characteristic of strings) Polchinski and Strassler (2001).LF Holography and QCD28Press and Media : SLAC National Accelerator LaboratoryStan BrodskySLACHOME RESEARCH SCIENTIFIC PROGRAMS
Deur, Korsch, et al.! s/"1! s,g1/" JLabFitGDH limitpQCD evol. eq.Burkert-IoffeBloch et al.10 -1CornwallGodfrey-IsgurBhagwat et al.Maris-TandyLattice QCD1Fischer et al.10 -1DSE gluoncouplings10 -1 1 10 -1 1Q (GeV)Chile LHCJanuary 8, 2010Fig: Infrared conformal window ( from Deur et al., arXiv:0803.4119 )LF Holography and QCD29Press and Media : SLAC National Accelerator LaboratoryStan BrodskySLACHOME RESEARCH SCIENTIFIC PROGRAMS
Page 1: Light-Front Holography:A New Approx
Page 4 and 5: Light-Front Holography and Non-Pert
Page 8 and 9: • QCD LagrangianL QCD = − 14g 2
Page 10 and 11: Light-Front Wavefunctions: rigorous
Page 12 and 13: |p,S z >= ∑ Ψ n (x i ,k ⊥i ,λ
Page 14 and 15: te between the struck and spectator
Page 16 and 17: Calculation of Form Factors in Equa
Page 18 and 19: Light-Front QCD Features and Phenom
Page 20 and 21: = 1 − ζ1 ∆ 1 − i∆ 2√ 1
Page 22 and 23: J=0 Fixed pole in real and virtual
Page 24 and 25: Applications of AdS/CFT to QCDChang
Page 26 and 27: Conformal Theories are invariant un
Page 30 and 31: IR Conformal Window for QCD• Dyso
Page 32 and 33: Scale Transformations• Isomorphis
Page 34 and 35: Press and Media : SLAC National Acc
Page 36 and 37: Press and Media : SLAC National Acc
Page 39 and 40: Light-Front Holography:Map AdS/CFT
Page 41 and 42: AdS/CFT• Use mapping of conformal
Page 43 and 44: Let Φ(z) = z 3/2 φ(z)AdS Schrodin
Page 45 and 46: Φ(z)3242Φ(z)01-22-20078721A1800 1
Page 47 and 48: • Erlich, Karch, Katz, Son, Steph
Page 49 and 50: Quark separationincreases with L645
Page 51 and 52: Higher Spin Bosonic Modes SW• Eff
Page 53 and 54: igenvaluesM 2 = 2κ 2 (2n + 2L + S)
Page 55 and 56: Propagation of external perturbatio
Page 57 and 58: Current Matrix Elements in AdS Spac
Page 59 and 60: • Analytical continuation to time
Page 61 and 62: Note: Analytical Form of Hadronic F
Page 63 and 64: Holographic Model Light-Front for Q
Page 65 and 66: • Electromagnetic form-factor in
Page 67 and 68: Gravitational Form Factor in AdS sp
Page 69 and 70: H QEDHQCDLFQCD Meson Spectrum(H 0 L
Page 71 and 72: • Find (L = |M|)M 2 =dζφ ∗ (
Page 73 and 74: Example: Pion LFWF• Two parton LF
Page 75 and 76: Prediction from AdS/CFT: Meson LFWF
Page 77 and 78: Example: Evaluation of QCD Matrix E
Page 79 and 80:
Second Moment of Pion Distribution
Page 81 and 82:
2 Fermionic Modes• Baryons Spectr
Page 83 and 84:
BaryonsHolographic Light-Front Inte
Page 85 and 86:
• Note: in the Weyl representatio
Page 87 and 88:
Non-Conformal Extension of Algebrai
Page 89 and 90:
indebted to B. Metsch and H. Petry
Page 91 and 92:
Space-Like Dirac Proton Form Factor
Page 93 and 94:
• Scaling behavior for large Q 2
Page 95 and 96:
String TheoryGoal: First Approximan
Page 97 and 98:
More generally, consider a meson in
Page 99 and 100:
New Perspectives for QCD from AdS/C
Page 101 and 102:
Running Coupling from Light-Front H
Page 103 and 104:
• β-functiond! seff/dlog(Q 2 )0-
Page 105 and 106:
Applications of NonperturbativeRunn
Page 107 and 108:
Final-State Interactions ProducePse
Page 109 and 110:
Formation of Relativistic Anti-Hydr
Page 111 and 112:
Features of LF T-Matrix Formalism
Page 113 and 114:
Chiral Symmetry Breaking in AdS/QCD
Page 115 and 116:
Light-Front(Front Form)Formalism
Page 117 and 118:
5[iE π (q; P ) + γ · P F π (q;
Page 119 and 120:
Quark and Gluon condensates reside
Page 121 and 122:
Features of AdS/QCD LF Holography
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Light-Front Holography and Novel Collider Physics

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