Quark-Hadron Duality, Axial Anomaly and Mixing

被引：10

作者：

Klopot, Y. ^{[1
,3
]}

Oganesian, A. ^{[1
,2
]}

Teryaev, O. ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia

[2] Inst Theoret & Expt Phys, Moscow 117218, Russia

[3] Bogolyubov Inst Theoret Phys, Kiev, Ukraine

来源：

JETP LETTERS | 2012年 / 94卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

JETP Letter; Axial Current; Transition Form Factor; Pion Exchange; Point Correlation Function;

D O I：

10.1134/S0021364011220061

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Interplay between axial anomaly and quark-hadron duality in the presence of strong mixing is considered. The anomaly sum rule for meson transition form factors based on the dispersive representation of axial anomaly and quark-hadron duality in octet channel is analyzed. The comparison of this sum rule to the experimental data on the transition form factors of the eta and eta' mesons shows that the interval of duality in this channel is rather small, contradicting the usual understanding of quark-hadron duality. The same values of interval of duality are supported by considering the two-point correlator in the local duality limit. This contradiction may be resolved by introducing of some nonperturbative non-one-pion exchange correction to the relevant spectral density. The form and value of this correction are discussed. DOI: 10.1134/S0021364011220061

引用

页码：729 / 733

页数：5

共 30 条

[1] ABSENCE OF HIGHER-ORDER CORRECTIONS IN ANOMALOUS AXIAL-VECTOR DIVERGENCE EQUATION [J].

ADLER, SL ;

BARDEEN, WA .

PHYSICAL REVIEW, 1969, 182 (05) :1517-&

[2]

Aliev T. M., HEPPH0310211

[3] Measurement of the γγ* → π0 transition form factor [J].

Aubert, B. ;

Karyotakis, Y. ;

Lees, J. P. ;

Poireau, V. ;

Prencipe, E. ;

Prudent, X. ;

Tisserand, V. ;

Garra Tico, J. ;

Grauges, E. ;

Martinelli, M. ;

Palano, A. ;

Pappagallo, M. ;

Eigen, G. ;

Stugu, B. ;

Sun, L. ;

Battaglia, M. ;

Brown, D. N. ;

Kerth, L. T. ;

Kolomensky, Yu. G. ;

Lynch, G. ;

Osipenkov, I. L. ;

Tackmann, K. ;

Tanabe, T. ;

Hawkes, C. M. ;

Soni, N. ;

Watson, A. T. ;

Koch, H. ;

Schroeder, T. ;

Asgeirsson, D. J. ;

Fulsom, B. G. ;

Hearty, C. ;

Mattison, T. S. ;

McKenna, J. A. ;

Barrett, M. ;

Khan, A. ;

Randle-Conde, A. ;

Blinov, V. E. ;

Bukin, A. D. ;

Buzykaev, A. R. ;

Druzhinin, V. P. ;

Golubev, V. B. ;

Onuchin, A. P. ;

Serednyakov, S. I. ;

Skovpen, Yu. I. ;

Solodov, E. P. ;

Todyshev, K. Yu. ;

Bondioli, M. ;

Curry, S. ;

Eschrich, I. ;

Kirkby, D. .

PHYSICAL REVIEW D, 2009, 80 (05)

[4]

Balakireva I., INT EUR C HIGH EN PH

[5] LARGE-ANGLE 2-PHOTON EXCLUSIVE CHANNELS IN QUANTUM CHROMODYNAMICS [J].

BRODSKY, SJ ;

LEPAGE, GP .

PHYSICAL REVIEW D, 1981, 24 (07) :1808-1817

[6] Confinement and short distance physics [J].

Chernodub, MN ;

Gubarev, FV ;

Polikarpov, MV ;

Zakharov, VI .

PHYSICS LETTERS B, 2000, 475 (3-4) :303-310

[7] Short-distance tachyonic gluon mass and 1/Q2 corrections [J].

Chetyrkin, KG ;

Narison, S ;

Zakharov, VI .

NUCLEAR PHYSICS B, 1999, 550 (1-2) :353-374

[8]

Diakonov D., 1981, SOV PHYS JETP, V54, P232

[9] CONSERVATION OF AXIAL CURRENT IN MASSLESS ELECTRODYNAMICS [J].

DOLGOV, AD ;

ZAKHAROV, VI .

NUCLEAR PHYSICS B, 1971, B 27 (03) :525-&

[10]

Druzhinin V. P., 2010, POS ICHEP 2010, P144

← 1 2 3 →