Canonical symmetry of a constrained Hamiltonian system and canonical Ward identity
- CCAST, Beijing (China)
An algorithm for the construction of the generators of the gauge transformation of a constrained Hamiltonian system is given. The relationships among the coefficients connecting the first constraints in the generator are made clear. Starting from the phase space generating function of the Green function, the Ward identity in canonical formalism is deduced. We point out that the quantum equations of motion in canonical form for a system with singular Lagrangian differ from the classical ones whether Dirac`s conjecture holds true or not. Applications of the present formulation to the Abelian and non-Abelian gauge theories are given. The expressions for PCAC and generalized PCAC of the AVV vertex are derived exactly from another point of view. A new form of the Ward identity for gauge-ghost proper vertices is obtained which differs from the usual Ward-Takahashi identity arising from the BRS invariance.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 471786
- Journal Information:
- International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 4 Vol. 34; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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