中国物理B ›› 1994, Vol. 3 ›› Issue (7): 481-492.doi: 10.1088/1004-423X/3/7/001

• THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS •    下一篇

WARD IDENTITIES IN PHASE SPACE AND THEIR APPLICATIONS

李子平   

  1. Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, China
  • 收稿日期:1993-05-25 出版日期:1994-07-20 发布日期:1994-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

WARD IDENTITIES IN PHASE SPACE AND THEIR APPLICATIONS

LI ZI-PING (李子平)   

  1. Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, China
  • Received:1993-05-25 Online:1994-07-20 Published:1994-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： Starting from the phase space path integral, we have derived the Ward identities in canonical formalism for a system with regular and singular Lagrangian. This formulation differs from the traditional discussion based on path integral in configuration space. It is pointed out that the quantum canonical equations for systems with singular Lagrangians are different from the classical ones obtained from Dirac's conjecture, The preliminary applications of Ward identities in phase space to the Yang-Mills theory are given. Some relations among the proper vertices and propagators are deduced,the PCAC, AVV vertices and generalized PCAC expressions are also obtained. We have also pointed out that some authors in their early work had ignored the treatment of the constraints.

Abstract: Starting from the phase space path integral, we have derived the Ward identities in canonical formalism for a system with regular and singular Lagrangian. This formulation differs from the traditional discussion based on path integral in configuration space. It is pointed out that the quantum canonical equations for systems with singular Lagrangians are different from the classical ones obtained from Dirac's conjecture, The preliminary applications of Ward identities in phase space to the Yang-Mills theory are given. Some relations among the proper vertices and propagators are deduced,the PCAC, AVV vertices and generalized PCAC expressions are also obtained. We have also pointed out that some authors in their early work had ignored the treatment of the constraints.

中图分类号:  (Lagrangian and Hamiltonian approach)

  • 11.10.Ef
11.15.Kc (Classical and semiclassical techniques)