Revisiting the vector and axial-vector vacuum susceptibilities

被引:21
作者
Chang, Lei [2 ,3 ]
Liu, Yu-xin [2 ,3 ,4 ]
Sun, Wei-min [1 ,5 ]
Zong, Hong-shi [1 ,5 ]
机构
[1] Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
[2] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
[3] Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China
[4] Ctr Theoret Nucl Phys, Natl Lab Heavy Ion Accelerator, Lanzhou 730000, Peoples R China
[5] Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.physletb.2008.10.010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We re-investigate the vector and axial-vector vacuum susceptibilities by, taking advantage of the vector and axial-vector Ward-Takahashi identities. We show analytically that, in the chiral limit, the vector vacuum susceptibility is zero and the axial-vector vacuum susceptibility equals three fourths of the Square of the pion decay constant. Besides, our analysis reproduces the Weinberg sum rule. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:327 / 330
页数:4
相关论文
共 20 条
[1]   QCD vacuum tensor susceptibility and properties of transversely polarized mesons [J].
Bakulev, AP ;
Mikhailov, SV .
EUROPEAN PHYSICAL JOURNAL C, 2000, 17 (01) :129-135
[2]   NONLOCAL CONDENSATES AND QCD SUM-RULES FOR THE PION FORM-FACTOR [J].
BAKULEV, AP ;
RADYUSHKIN, AV .
PHYSICS LETTERS B, 1991, 271 (1-2) :223-230
[3]   PROTON AND NEUTRON MAGNETIC-MOMENTS FROM QCD SUM-RULES [J].
BALITSKY, II ;
YUNG, AV .
PHYSICS LETTERS B, 1983, 129 (05) :328-334
[4]   A note on the QCD vacuum tensor susceptibility [J].
Belyaev, VM ;
Oganesian, A .
PHYSICS LETTERS B, 1997, 395 (3-4) :307-310
[5]   Tensor susceptibilities of the vacuum from constituent quarks [J].
Broniowski, W ;
Polyakov, M ;
Kim, HC ;
Goeke, K .
PHYSICS LETTERS B, 1998, 438 (3-4) :242-247
[6]   PHOTON POLARIZATION TENSOR AND GAUGE DEPENDENCE IN 3-DIMENSIONAL QUANTUM ELECTRODYNAMICS [J].
BURDEN, CJ ;
PRASCHIFKA, J ;
ROBERTS, CD .
PHYSICAL REVIEW D, 1992, 46 (06) :2695-2702
[7]   The weak parity-violating pion-nucleon coupling [J].
Henley, EM ;
Hwang, WYP ;
Kisslinger, LS .
PHYSICS LETTERS B, 1996, 367 (1-4) :21-27
[8]   NUCLEON MAGNETIC-MOMENTS AND MAGNETIC-PROPERTIES OF THE VACUUM IN QCD [J].
IOFFE, BL ;
SMILGA, AV .
NUCLEAR PHYSICS B, 1984, 232 (01) :109-142
[9]   CHIRAL-ODD PARTON DISTRIBUTIONS AND POLARIZED DRELL-YAN PROCESS [J].
JAFFE, RL ;
JI, XD .
PHYSICAL REVIEW LETTERS, 1991, 67 (05) :552-555
[10]   CHIRAL-ODD PARTON DISTRIBUTIONS AND DRELL-YAN PROCESSES [J].
JAFFE, RL ;
JI, XD .
NUCLEAR PHYSICS B, 1992, 375 (03) :527-560