# AdS/QCD and Applications of Light-Front Holography

## Abstract

Light-Front Holography leads to a rigorous connection between hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space and frame-independent light-front wavefunctions of hadrons in 3 + 1 physical space-time, thus providing a compelling physical interpretation of the AdS/CFT correspondence principle and AdS/QCD, a useful framework which describes the correspondence between theories in a modified AdS5 background and confining field theories in physical space-time. To a first semiclassical approximation, where quantum loops and quark masses are not included, this approach leads to 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. The internal structure of hadrons is explicitly introduced and the angular momentum of the constituents plays a key role. We give an overview of the light-front holographic approach to strongly coupled QCD. In particular, we study the photon-to-meson transition form factors (TFFs) F{sub M{gamma}}(Q{sup 2}) for {gamma}{gamma}* {yields} M using light-front holographic methods. The results for the TFFs for the {eta} and {eta}' mesons are also presented. Somemore »

- Authors:

- Publication Date:

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

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1035116

- Report Number(s):
- SLAC-PUB-14525

arXiv:1108.5718; TRN: US1201105

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Conference

- Resource Relation:
- Conference: InvitedAdS/CFT and Novel Approaches to Hadron and Heavy Ion Physics QFT, KITPC, The Kavli Instiutute of Theoretical Physics China, Beijing, 10/11/2010-12/3/2010

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; AMPLITUDES; ANGULAR MOMENTUM; CONDENSATES; CONFINEMENT; FIELD THEORIES; FORM FACTORS; GLUONS; HADRONS; HEAVY IONS; HOLOGRAPHY; MESONS; ORBITAL ANGULAR MOMENTUM; PHYSICS; QUANTUM CHROMODYNAMICS; QUARKS; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; SPIN; Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH

### Citation Formats

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, Cao, Fu-Guang, /Massey U., de Teramond, Guy F, and /Costa Rica U.
```*AdS/QCD and Applications of Light-Front Holography*. United States: N. p., 2012.
Web.

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, Cao, Fu-Guang, /Massey U., de Teramond, Guy F, & /Costa Rica U.
```*AdS/QCD and Applications of Light-Front Holography*. United States.

```
Brodsky, Stanley J, /SLAC /Southern Denmark U., CP3-Origins, Cao, Fu-Guang, /Massey U., de Teramond, Guy F, and /Costa Rica U. 2012.
"AdS/QCD and Applications of Light-Front Holography". United States. https://www.osti.gov/servlets/purl/1035116.
```

```
@article{osti_1035116,
```

title = {AdS/QCD and Applications of Light-Front Holography},

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

abstractNote = {Light-Front Holography leads to a rigorous connection between hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space and frame-independent light-front wavefunctions of hadrons in 3 + 1 physical space-time, thus providing a compelling physical interpretation of the AdS/CFT correspondence principle and AdS/QCD, a useful framework which describes the correspondence between theories in a modified AdS5 background and confining field theories in physical space-time. To a first semiclassical approximation, where quantum loops and quark masses are not included, this approach leads to 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. The internal structure of hadrons is explicitly introduced and the angular momentum of the constituents plays a key role. We give an overview of the light-front holographic approach to strongly coupled QCD. In particular, we study the photon-to-meson transition form factors (TFFs) F{sub M{gamma}}(Q{sup 2}) for {gamma}{gamma}* {yields} M using light-front holographic methods. The results for the TFFs for the {eta} and {eta}' mesons are also presented. Some novel features of QCD are discussed, including the consequences of confinement for quark and gluon condensates. A method for computing the hadronization of quark and gluon jets at the amplitude level is outlined.},

doi = {},

url = {https://www.osti.gov/biblio/1035116},
journal = {},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {2}

}