Approximation of the Schwinger-Dyson and the Bethe-Salpeter equations and chiral symmetry of QCD

被引：1
|
作者：
Naito, K [1 ]
Oka, M [1 ]
机构：
[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
来源：
PHYSICAL REVIEW C | 1999年 / 59卷 / 01期
关键词：
D O I：
10.1103/PhysRevC.59.542
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The Bethe-Salpeter equation for the pion in chiral symmetric models is studied with a special care to consistency with low-energy relations. We propose a reduction of the rainbow Schwinger-Dyson and the ladder Bethe-Salpeter equations with a dressed gluon propagator. We prove that the reduction preserves the Ward-Takahashi identity for the axial-vector current and the PCAC relation. [S0556-2813(99)05801-X].
引用
收藏
页码：542 / 545
页数：4
相关论文
共 50 条
  • [41] Schwinger-Dyson equation approach to chiral symmetry breaking in an external magnetic field
    Leung, C. N.
    Ng, Y. J.
    Ackley, A. W.
    Physical Review D Particles, Fields, Gravitation and Cosmology, 54 (06):
  • [42] Dynamical chiral-symmetry breaking at T=0 and T≠0 in the Schwinger-Dyson equation with lattice QCD data
    Iida, H
    Oka, M
    Suganuma, H
    EUROPEAN PHYSICAL JOURNAL A, 2005, 23 (02): : 305 - 315
  • [43] Schwinger-Dyson Equation for Quarks in a QCD Inspired Model
    Shilin, V. I.
    Pervushin, V. N.
    PHYSICS OF PARTICLES AND NUCLEI LETTERS, 2023, 20 (06) : 1308 - 1325
  • [44] SCHWINGER-DYSON EQUATION IN QCD - COMPARISON OF SOME APPROXIMATIONS
    MUNCZEK, HJ
    MCKAY, DW
    PHYSICAL REVIEW D, 1990, 42 (10): : 3548 - 3553
  • [45] APPLICATION OF DYSON AND BETHE-SALPETER EQUATIONS TO HIGH-ENERGY ELECTRON-DIFFRACTION
    DUDAREV, SL
    PENG, LM
    WHELAN, MJ
    ELECTRON MICROSCOPY AND ANALYSIS 1993, 1993, (138): : 183 - 186
  • [46] Schwinger-Dyson equation approach to chiral symmetry breaking in an external magnetic field
    Leung, CN
    Ng, YJ
    Ackley, AW
    PHYSICAL REVIEW D, 1996, 54 (06): : 4181 - 4184
  • [47] On solving nonhomogeneous Bethe-Salpeter equations
    S. S. Semikh
    S. M. Dorkin
    M. Beyer
    L. P. Kaptari
    Physics of Atomic Nuclei, 2005, 68 : 2022 - 2033
  • [48] Chiral phase transition of QCD at finite temperature and density from the Schwinger-Dyson equation
    Harada, M
    Shibata, A
    PHYSICAL REVIEW D, 1999, 59 (01)
  • [49] Phase transition in dense QCD with the Schwinger-Dyson equation
    Harada, M
    Takagi, S
    PROGRESS OF THEORETICAL PHYSICS, 2002, 107 (03): : 561 - 596
  • [50] On solving nonhomogeneous Bethe-Salpeter equations
    Semikh, SS
    Dorkin, SM
    Beyer, M
    Kaptari, LP
    PHYSICS OF ATOMIC NUCLEI, 2005, 68 (12) : 2022 - 2033
12345