Abstract
The magnetic susceptibility of the quark condensate and the light-cone photon distribution amplitude of the leading twist is studied in the leading order of the perturbative expansion within the nonlocal condensates framework.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. Kroll and M. Raulfs, “The πγ Transition Form Factor and the Pion Wave Function,” Phys. Lett. B 387, 848–854 (1996).
A. V. Radyushkin and R. Ruskov, “Transition Form Factor γγ* → 0 and QCD Sum Rules,” Nucl. Phys. B 481, 625–680 (1996).
A. V. Radyushkin, “Scaling Limit of Deeply Virtual Compton Scattering,” Phys. Lett. B 380, 417–425 (1996).
M. Beneke, T. Feldmann, and D. Seidel, “Systematic Approach to Exclusive B → Vl + l −,Vγ Decays,” Nucl. Phys. B 612, 25–58 (2001).
S. W. Bosch and G. Buchalla, “The Radiative Decays B→ Vγ at Next-To-Leading Order in QCD,” Nucl. Phys. B 621, 459–478 (2002).
I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, “Radiative Decay Σ+ →pγ in Quantum Chromodynamics,” Nucl. Phys. B 312, 509–550 (1989).
J. Rohrwild, “Determination of the Magnetic Susceptibility of the Quark Condensate Using Radiative Heavy Meson Decays,” J. High Energy Phys. 09, 073 (2007).
J. Rohrwild, “Light-Cone Sum Rules for the NγΔ Transitions for Real Photons,” Phys. Rev. D: Part. Fields 75,074025 (2007).
Y. Y. Balitsky, V. M. Braun, and A. V. Kolesnichenko, “The Decay Σ+ →pγ in QCD: Bilocal Corrections in a Variable Magnetic Field and the Photon Wave Functions,” Sov. J. Nucl. Phys. 48, 348–357 (1988).
V. M. Braun et al., “Exclusive Photoproduction of Hard Dijets and Magnetic Susceptibility of QCD Vacuum,” Phys. Rev. Lett. 89, 172001 (2002).
B. L. Ioffe and A. V. Smilga, “Hyperon Magnetic Moments in QCD,” Phys. Lett. B 133, 436 (1983).
V. M. Belyaev and Y. I. Kogan, “Calculation of Quark Condensate Magnetic Susceptibility by QCD Sum Rule Method,” Yad. Fiz. 40, 1035–1038 (1984) [Sov. J. Nucl. Phys. 40, 659 (1984)].
I. I. Balitsky, A. V. Kolesnichenko, and A. V. Yung, “On Vector Dominance in Sum Rules for Electromagnetic Hadron Characteristics,” Sov. J. Nucl. Phys. 41, 178 (1985).
P. Ball, V. M. Braun, and N. Kivel, “Photon Distribution Amplitudes in QCD,” Nucl. Phys. B 649, 263–296 (2003).
A. Vainshtein, “Perturbative and Nonperturbative Renormalization of Anomalous Quark Triangles,” Phys. Lett. B 569, 187–193 (2003).
A. E. Dorokhov, “V-A-\( \tilde V \) Correlator Within the Instanton Vacuum Model,” Eur. Phys. J. C 42, 309–317 (2005).
V. Y. Petrov et al., “Pion and Photon Light-Cone Wave Functions from the Instanton Vacuum,” Phys. Rev. D 59,114018 (1999).
K. Goeke et al., “1/N c Corrections to the Magnetic Susceptibility of the QCD Vacuum,” Phys. Rev. D: Part. Fields 76, 116007 (2007).
A. E. Dorokhov, V. K. Broniowski, and E. Ruiz Arriola, “Photon Distribution Amplitudes and Light-Cone Wave Functions in Chiral Quark Models,” Phys. Rev. D: Part. Fields 74, 054023 (2006).
S. V. Mikhailov and A. V. Radyushkin, “Nonlocal Condensates and QCD Sum Rules for Pion Wave Function,” JETP Lett. 43, 712–715 (1986).
S. V. Mikhailov and A. V. Radyushkin, “Quark Condensate Nonlocality and Pion Wave Function in QCD,” Sov. J. Nucl. Phys. 49, 494–503 (1989).
M. D’Elia, A. Di Giacomo, and E. Meggiolaro, “Gauge-Invariant Quark Antiquark Nonlocal Condensates in Lattice QCD,” Phys. Rev. D: Part. Fields 59, 054503 (1999).
A. P. Bakulev and S. V. Mikhailov, “Lattice Measurements of Nonlocal Quark Condensates, Vacuum Correlation Length, and Pion Distribution Amplitude in QCD,” Phys. Rev. D: Part. Fields 65, 114511 (2002).
V. M. Belyaev and B. L. Ioffe, “Determination of Baryon and Baryonic Masses from QCD Sum Rules. Strange Baryons,” Zh. Eksp. Teor. Fiz. 57, 716–721 (1983) [Sov. Phys. JETP 30, 392 (1983)].
A. A. Ovchinnikov and A. A. Pivovarov, “QCD Sum Rule Calculation of the Quark Gluon Condensate,” Sov. J. Nucl. Phys. 48, 721–723 (1988).
A. E. Dorokhov, S. V. Esaibegian, and S. V. Mikhailov, “Virtualities of Quarks and Gluons in QCD Vacuum and Nonlocal Condensates within Single Instanton Approximation,” Phys. Rev. D: Part. Fields 56, 4062–4068 (1997).
M. V. Polyakov and C. Weiss, “Mixed Quark-Gluon Condensate from Instantons,” Phys. Lett. B 387, 841–847 (1996).
A. P. Bakulev and S. V. Mikhailov, “New Shapes of Light-Cone Distributions of the Transversely Polarized Rho Mesons,” Eur. Phys. J. C 19, 361–372 (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Pimikov, 2009, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2009, No. 6 (155), pp. 754–762.
Rights and permissions
About this article
Cite this article
Pimikov, A.V. Nonlocal quark condensate and photon distribution amplitude. Phys. Part. Nuclei Lett. 6, 455–460 (2009). https://doi.org/10.1134/S1547477109060065
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477109060065