# Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory

## Abstract

The Lorentz decomposition of the light-cone distribution amplitudes is carried out up to twist four. The Wandzura-Wilczek-like relations associated with the transverse photon wave function are derived in the same way as for the rho meson. The on-shell and off-shell photon wave functions with odd chirality at the leading twist in the effective low-energy theory derived from the instanton vacuum of QCD are calculated. The explicit expression of the transverse photon wave function, {phi}{sub {gamma}}{sub perpendicular}(u,P{sup 2}), is worked out, and the twist-two parts of the other two photon wave functions, h{sub {gamma}}{sub parallel}{sup (s),twisttwo}(u,P{sup 2}) and h{sub {gamma}}{sub parallel}{sup (t),twisttwo}(u,P{sup 2}), are calculated based on the Wandzura-Wilczek-like relations. The dependence of the coupling f{sub {gamma}}{sup perpendicular}(P{sup 2}) and the light-cone photon wave functions with respect to the virtuality, P{sup 2}, are analyzed, and the end-point behavior as well as the middle-point behavior of the photon wave functions is discussed.

- Authors:

- Department of Physics, School of Physical Science and Technology, Wuhan University, 430072 Wuhan (China)

- Publication Date:

- OSTI Identifier:
- 20776774

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.045002; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; CHIRALITY; COUPLING; DISTRIBUTION; LIGHT CONE; PHOTONS; QUANTUM CHROMODYNAMICS; RHO-770 MESONS; SUM RULES; WAVE FUNCTIONS

### Citation Formats

```
Yu Ran, Liu Jueping, and Zhu Kai.
```*Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.045002.

```
Yu Ran, Liu Jueping, & Zhu Kai.
```*Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory*. United States. doi:10.1103/PhysRevD.73.045002.

```
Yu Ran, Liu Jueping, and Zhu Kai. Wed .
"Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory". United States.
doi:10.1103/PhysRevD.73.045002.
```

```
@article{osti_20776774,
```

title = {Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory},

author = {Yu Ran and Liu Jueping and Zhu Kai},

abstractNote = {The Lorentz decomposition of the light-cone distribution amplitudes is carried out up to twist four. The Wandzura-Wilczek-like relations associated with the transverse photon wave function are derived in the same way as for the rho meson. The on-shell and off-shell photon wave functions with odd chirality at the leading twist in the effective low-energy theory derived from the instanton vacuum of QCD are calculated. The explicit expression of the transverse photon wave function, {phi}{sub {gamma}}{sub perpendicular}(u,P{sup 2}), is worked out, and the twist-two parts of the other two photon wave functions, h{sub {gamma}}{sub parallel}{sup (s),twisttwo}(u,P{sup 2}) and h{sub {gamma}}{sub parallel}{sup (t),twisttwo}(u,P{sup 2}), are calculated based on the Wandzura-Wilczek-like relations. The dependence of the coupling f{sub {gamma}}{sup perpendicular}(P{sup 2}) and the light-cone photon wave functions with respect to the virtuality, P{sup 2}, are analyzed, and the end-point behavior as well as the middle-point behavior of the photon wave functions is discussed.},

doi = {10.1103/PhysRevD.73.045002},

journal = {Physical Review. D, Particles Fields},

number = 4,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}