Light-Front Holography and Novel Collider Physics

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

Light-Front Wavefunctions: rigorous representation of compositesystems in quantum P field + = Ptheory0 + P zx = k+P + = k0 + k 3P 0 + P 3Fixed τ = t + z/cGeneral remarkmentumx P + , P +i = k+A(σ, ∆ ⊥ ) = 1 i PGeneral2π dζe2 σζ + = k0 +k 3P 0 +P zM(ζ,remarks∆⊥ )x i P + about, x iorbiψ(σ, b P⊥ + kR ⊥i⊥ )⊥P + , P ⊥mentumẑx iR⊥ + b ⊥ix i P + , x iP⊥ + β = dα s(Q 2 )kd ln Q 2 < 0⊥iProcess IndependentL = R × P ni ni=1Direct b⊥i = 0(x ⊥ iP⊥ ζ = Q2 Link to QCD Lagrangian! u+ k ⊥i2p·qLΨnix i = 1n (x i , i = (x iR⊥ + b ⊥i ) × P ẑkx iP⊥ + ⊥i , λ i )k ⊥i i = b ⊥i × k ⊥i L = R × P ni k⊥i = 0 ⊥i = L i − x iR⊥ × P = b ⊥i × PInvariant under L i = (x iR⊥ + boosts! Independent of P b ⊥i ) × P nix i = 1 ni=1(x i R⊥ + b ⊥i ) = R ⊥Chile LHCJanuary 8, 2010LF Holography and QCD10Press and Media : SLAC National Accelerator LaboratoryStan BrodskySLACHOME RESEARCH SCIENTIFIC PROGRAMS
y conservation of the z projection ofIn general the light-cone wavefunctions satisfy consAngular Momentum on the Light-Frontngular momentum:J z =he sum over siz represents the contribution of the intrthe intrinsic spins of the n Fock stateonstituents. The sum over orbital angular momenta l zta lj =j z = −i( kj1 ∂∂ke n−1 relative momenta. 2 − kj2 ∂ )derivesj∂k 1 n-1 orbital from angular momentajThis excludes the contributionibution to the orbital angular momentumue to the motion of the center of mass, which is not an inot WeNonzero an intrinsic canAnomalous property see howMomentthe--> of angularNonzero the hadron.orbitalmomentumangular momentum!sum rulemavefunctions rule Eq. Eqs. (62)(20) is and satisfied (23) offor the the QEDPress andmodelMedia : SLAC National Accelerator LaboratorysysLF Holography and QCDChile LHCJanuary 8, 2010n∑i=1si z ∑n−1+j=1l z j .11ConservedLF Fock state by Fock State!(62)LF Spin Sum RuleStan 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 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 28 and 29: Conformal Behavior of QCD in Infrar
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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