Derivation of general conservation laws and Ward--Takahashi identities in the functional integration method

Journal Article · Sat Dec 15 04:00:00 EST 1973 · Phys. Rev., D, v. 8, no. 12, pp. 4353-4371

DOI:https://doi.org/10.1103/PhysRevD.8.4353· OSTI ID:4303500

Suura, H; Young, B -

The functional integration method is applied to derive Ward-Takahashi identities involving the energy-momentum tensor, currents, and fields. In the process of the derivation, we have introduced a variational method to derive conservation laws, in which the improved energy-momentum tensor of Callan, Coleman, and Jackiw is obtained. Establishing the correspondence between the c- number relations obtained in the functional integration method and the q-number ones resulting from the conventional way, we demonstrated that the two approaches of quantum field theory give identical results for the perturbation expansion, canonical equal-time commutation relations, etc. They are, therefore, equivalent. (auth)

• Research Organization: School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-028564
• OSTI ID: 4303500
• Journal Information: Phys. Rev., D, v. 8, no. 12, pp. 4353-4371, Journal Name: Phys. Rev., D, v. 8, no. 12, pp. 4353-4371; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*CONSERVATION LAWS-- VARIATIONAL METHODS
*QUANTUM FIELD THEORY-- WARD IDENTITY
COMMUTATION RELATIONS
LAGRANGIAN FUNCTION
N76200* --Physics (Theoretical)--Quantum Field Theories
TENSORS