# Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena

## Abstract

Light-Front Holography is one of the most remarkable features of the AdS/CFT correspondence. In spite of its present limitations it provides important physical insights into the nonperturbative regime of QCD and its transition to the perturbative domain. This novel framework allows hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time. The model leads to an effective confining light-front QCD Hamiltonian and a single-variable light-front Schroedinger equation which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. The coordinate z in AdS space is uniquely identified with a Lorentz-invariant coordinate {zeta} which measures the separation of the constituents within a hadron at equal light-front time and determines the off-shell dynamics of the bound-state wavefunctions, and thus the fall-off as a function of the invariant mass of the constituents. The soft-wall holographic model modified by a positive-sign dilaton metric, leads to a remarkable one-parameter description of nonperturbative hadron dynamics - a semi-classical frame-independent first approximation to the spectra and light-front wavefunctions of meson and baryons. The model predicts a Regge spectrum of linear trajectories with the same slope in the leading orbitalmore »

- Authors:

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1035105

- Report Number(s):
- SLAC-PUB-14559

arXiv:1111.2899; TRN: US1201098

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Conference

- Journal Name:
- arXiv:1111.2899

- Additional Journal Information:
- Conference: Presented at LightCone 2011, Dallas, Texas, USA, 23-27 May 2011

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; APPROXIMATIONS; BARYONS; BOUND STATE; CONDENSATES; FORM FACTORS; GLUONS; HADRONS; HAMILTONIANS; HOLOGRAPHY; MESONS; ORBITAL ANGULAR MOMENTUM; QUANTUM CHROMODYNAMICS; QUANTUM NUMBERS; QUARKS; SCHROEDINGER EQUATION; SPECTRA; SPIN; STRUCTURE FUNCTIONS; TRAJECTORIES; TRANSVERSE MOMENTUM; VALENCE; Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH

### Citation Formats

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, de Teramond, Guy F, and /Costa Rica U..
```*Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena*. United States: N. p., 2012.
Web.

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, de Teramond, Guy F, & /Costa Rica U..
```*Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena*. United States.

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, de Teramond, Guy F, and /Costa Rica U.. 2012.
"Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena". United States. https://www.osti.gov/servlets/purl/1035105.
```

```
@article{osti_1035105,
```

title = {Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena},

author = {Brodsky, Stanley J and /SLAC /Southern Denmark U., CP3-Origins and de Teramond, Guy F and /Costa Rica U.},

abstractNote = {Light-Front Holography is one of the most remarkable features of the AdS/CFT correspondence. In spite of its present limitations it provides important physical insights into the nonperturbative regime of QCD and its transition to the perturbative domain. This novel framework allows hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time. The model leads to an effective confining light-front QCD Hamiltonian and a single-variable light-front Schroedinger equation which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. The coordinate z in AdS space is uniquely identified with a Lorentz-invariant coordinate {zeta} which measures the separation of the constituents within a hadron at equal light-front time and determines the off-shell dynamics of the bound-state wavefunctions, and thus the fall-off as a function of the invariant mass of the constituents. The soft-wall holographic model modified by a positive-sign dilaton metric, leads to a remarkable one-parameter description of nonperturbative hadron dynamics - a semi-classical frame-independent first approximation to the spectra and light-front wavefunctions of meson and baryons. The model predicts a Regge spectrum of linear trajectories with the same slope in the leading orbital angular momentum L of hadrons and the radial quantum number n. The hadron eigensolutions projected on the free Fock basis provides the complete set of valence and non-valence light-front Fock state wavefunctions {Psi}{sub n/H} (x{sub i}, k{sub {perpendicular}i}, {lambda}{sub i}) which describe the hadron's momentum and spin distributions needed to compute the direct measures of hadron structure at the quark and gluon level, such as elastic and transition form factors, distribution amplitudes, structure functions, generalized parton distributions and transverse momentum distributions. The effective confining potential also creates quark-antiquark pairs from the amplitude q {yields} q{bar q}q. Thus in holographic QCD higher Fock states can have any number of extra q{bar q} pairs. We discuss the relevance of higher Fock-states for describing the detailed structure of space and time-like form factors. The AdS/QCD model can be systematically improved by using its complete orthonormal solutions to diagonalize the full QCD light-front Hamiltonian or by applying the Lippmann-Schwinger method in order to systematically include the QCD interaction terms. A new perspective on quark and gluon condensates is also obtained.},

doi = {},

url = {https://www.osti.gov/biblio/1035105},
journal = {arXiv:1111.2899},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {2}

}