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Title: 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:
; ;  [1]
  1. 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}
}