Generalized Parton Distributions of the Pion on the Transverse Lattice

Dalley, S.

doi:10.1007/s00601-004-0080-0

Cited by 8 publications

(8 citation statements)

References 13 publications

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“…There are a number of existing realistic studies of pion structure that could be extended to transition distributions amplitudes, e.g. [67,68,69,70,71].…”

Section: Discussionmentioning

confidence: 99%

Estimates for pion-photon transition distributions

Tiburzi¹

2005

Phys. Rev. D

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In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple analytical models for the vector and axial-vector pion-photon transition distribution amplitudes based on double distributions. Via a sum rule, these models are tuned to reproduce the pion-photon transition form factors. To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions. We also determine a model-independent contribution to the axial-vector transition distribution using chiral perturbation theory.

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“…There are a number of existing realistic studies of pion structure that could be extended to transition distributions amplitudes, e.g. [67,68,69,70,71].…”

Section: Discussionmentioning

confidence: 99%

Estimates for pion-photon transition distributions

Tiburzi¹

2005

Phys. Rev. D

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“…In principle, one can solve for the LFWFs directly from the fundamental theory using methods such as discretized light-front quantization (DLCQ) [26], the transverse lattice [27,28,29], lattice gauge theory moments [30], Dyson-Schwinger techniques [31], and Bethe-Salpeter techniques [2]. DLCQ has been remarkably successful in determining the entire spectrum and corresponding LFWFs in one space-one time field theories [32], including QCD(1+1) [33] and supersymmetric QCD(1+1) [34].…”

Section: Nonperturbative Methods For Computing Lfwfsmentioning

confidence: 99%

Hadron Spectroscopy and Wavefunctions in QCD and the AdS/CFT Correspondence

Brodsky¹,

Téramond²

2006

AIP Conference Proceedings

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Nonperturbative effects in QCD at finite temperature and density Phys. Part. Nucl. 30, 223 (1999) Condition on the symmetry-breaking solution of the Schwinger-Dyson equation J. Math. Phys. 38, 6119 (1997) Covariant algebraic calculation of the oneloop effective potential in nonAbelian gauge theory and a new approach to stability problem Abstract. The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. We have recently shown how a holographic model based on a truncated AdS space can be used to obtain the hadronic spectrum of light qq qqq and gg bound states. Specific hadrons are identified by the correspondence of string modes with the dimension of the interpolating operator of the hadron's valence Fock state, including orbital angular momentum excitations. The predicted mass spectrum is linear M ∝ L at high orbital angular momentum, in contrast to the quadratic dependence M 2 ∝ L found in the description of spinning strings. Since only one parameter, the QCD scale Λ QCD , is introduced, the agreement with the pattern of physical states is remarkable. In particular, the ratio of ∆ to nucleon trajectories is determined by the ratio of zeros of Bessel functions. The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a trivial vacuum. The light-front Fock-state wavefunctions encode the bound state properties of hadrons in terms of their quark and gluon degrees of freedom at the amplitude level. One can also use the extended AdS/CFT space-time theory to obtain a model for hadronic light-front wavefunctions, thus providing a relativistic description of hadrons in QCD at the amplitude level. The model wavefunctions display confinement at large inter-quark separation and conformal symmetry at short distances. In particular, the scaling and conformal properties of the LFWFs at high relative momenta agree with perturbative QCD. These AdS/CFT model wavefunctions could be used as an initial ansatz for a variational treatment of the light-front QCD Hamiltonian. We also show how hadron form factors in both the space-like and time-like regions can be predicted.

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“…The resulting equations for spin 0, 1 2 , 1 and 3 2 hadrons on AdS 5 × S 5 lead to color-singlet states with dimension 3, 4 and 9 2 . Consequently, only the hadronic states (dimension-3) J P = 0 − , 1 − qq pseudoscalar and vector mesons, the (dimension- 9 2…”

Section: Derivingmentioning

confidence: 99%

“…In principle, one can solve for the LFWFs directly from the fundamental theory using methods such as discretized light-front quantization (DLCQ) [7], the transverse lattice [8][9][10], lattice gauge theory moments [11], Dyson-Schwinger techniques [12], and Bethe-Salpeter techniques [3]. DLCQ has been remarkably successful in determining the entire spectrum and corresponding LFWFs in one space-one time field theories [13], including QCD(1+1) [14] and supersymmetric QCD(1+1) [15].…”

Section: Introductionmentioning

confidence: 99%

Advances in light-front quantization and new perspectives for QCD from AdS/CFT

Brodsky

Téramond

2006

Nuclear Physics B - Proceedings Supplements

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The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a Fock space built on a trivial vacuum. The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. We have recently shown how a model based on a truncated AdS space can be used to obtain the hadronic spectrum of qq, qqq and gg bound states, as well as their respective light-front wavefunctions. Specific hadrons are identified by the correspondence of string modes with the dimension of the interpolating operator of the hadron's valence Fock state, including orbital angular momentum excitations. The predicted mass spectrum is linear M ∝ L at high orbital angular momentum, in contrast to the quadratic dependence M 2 ∝ L found in the description of spinning strings. Since only one parameter, the QCD scale ΛQCD, is introduced, the agreement with the pattern of physical states is remarkable. In particular, the ratio of ∆ to nucleon trajectories is determined by the ratio of zeros of Bessel functions. As a specific application of QCD dynamics from AdS/CFT duality, we describe a computation of the proton magnetic form factor in both the space-like and time-like regions. The extended AdS/CFT space-time theory also provides an analytic model for hadronic light-front wavefunctions, thus providing a relativistic description of hadrons in QCD at the amplitude level. The model wavefunctions display confinement at large inter-quark separation and conformal symmetry at short distances. In particular, the scaling and conformal properties of the LFWFs at high relative momenta agree with perturbative QCD. These AdS/CFT model wavefunctions could be used as an initial ansatz for a variational treatment of the light-front QCD Hamiltonian.

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Generalized Parton Distributions of the Pion on the Transverse Lattice

Cited by 8 publications

References 13 publications

Estimates for pion-photon transition distributions

Estimates for pion-photon transition distributions

Hadron Spectroscopy and Wavefunctions in QCD and the AdS/CFT Correspondence

Advances in light-front quantization and new perspectives for QCD from AdS/CFT

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