Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics

  • We discuss the symmetry relations among Green’s functions, i.e., the transverse and the normal (longitudinal) Ward-Takahashi relations. Solving consistently this set of WT relations, we obtain the nonperturbative fermion-boson vertex function, which leads to consistently truncated and closed Dyson-Schwinger equations for the propagators up to the quantum anomaly, thus providing the consistent nonperturbative approach of studying hadronic physics.
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  • [1] Roberts C D, Williams A G. Prog. Part. Nucl. Phys., 1994,33: 477–575 2 Ward J C. Phys. Rev., 1950,78: 182–185; Takahashi Y. Nuovo Cimento, 1957,6: 370–3723 Bashir A et al. Phys. Rev., 1998, D57:1242–1249 4 HE Han–Xin, Khanna F C, Takahashi Y. Phys. Lett., 2000, B480: 222–228 5 HE Han–Xin. Commun. Theor. Phys., 2001,35: 32–35 6 HE Han–Xin. Phys. Rev., 2001, C63: 025207–1–025207–67 HE Han–Xin. Commun. Theor. Phys., 2001,36: 285–2868 HE Han–Xin. Phys. Lett., 2001, B507:351–355
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HE Han-Xin. Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics[J]. Chinese Physics C, 2002, 26(S1): 73-76.
HE Han-Xin. Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics[J]. Chinese Physics C, 2002, 26(S1): 73-76. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics

    Corresponding author: HE Han-Xin,
  • China Institute of Atomic Energy, Beijing 102413, China

Abstract: We discuss the symmetry relations among Green’s functions, i.e., the transverse and the normal (longitudinal) Ward-Takahashi relations. Solving consistently this set of WT relations, we obtain the nonperturbative fermion-boson vertex function, which leads to consistently truncated and closed Dyson-Schwinger equations for the propagators up to the quantum anomaly, thus providing the consistent nonperturbative approach of studying hadronic physics.

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