Derivation of general conservation laws and Ward--Takahashi identities in the functional integration method
A functional integration method is applied to derive WardTakahashi identities involving the energy-momentum tensor, currents, and fields. In the process of the derivation, a variational method was introduced to derive conservation laws, in which the improved energy-momentum tensor of Callen-Coleman- -Jackiw is obtained. E stablishing the correspondence between the c-number relations obtained in the functional integration method and the q-number ones resulting from the conventional way, it is demonstrated that the two approaches of the quantum field theory give identical results for the perturbation expansion, canonical equal-time commutation relations, etc. They are, therefore, equivalent. (auth)
- Research Organization:
- Minnesota Univ., Minneapolis (USA). School of Physics and Astronomy; Ames Lab., Iowa (USA)
- NSA Number:
- NSA-29-011725
- OSTI ID:
- 4397869
- Report Number(s):
- COO--1764-181
- Country of Publication:
- United States
- Language:
- English
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