Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra

Lam, Yuk-Ming P.

doi:10.1103/physrevd.6.2145

Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra

Journal Article · Sun Oct 15 00:00:00 EDT 1972 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/physrevd.6.2145· OSTI ID:4670109

Lam, Yuk-Ming P. ^[1]

Univ. of Pittsburgh, PA (United States)

Under the assumption that the time-ordered products are given by Feynman rules with Bogoliubov's renormalization scheme, it is shown that the operator forms of Euler-Lagrange equations of motion and Noether's theorem for a wide class of perturbation Lagrangian theories for scalar fields are valid. Ward-Takahashi identities for currents in Noether's theorem are also proved without recourse to equal-time commutators, and current-algebra results follow naturally in a subclass of Lagrangian field theories. Finally, covariant Schwinger terms are present in these identities and their nature is determined.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pittsburgh, PA (United States)

Sponsoring Organization:: US Atomic Energy Commission (AEC)

NSA Number:: NSA-26-026717

OSTI ID:: 4670109

Alternate ID(s):: OSTI ID: 4595714
OSTI ID: 4620174

Report Number(s):: NYO--3829-86

Journal Information:: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 6; ISSN 0556-2821

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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CURRENT ALGEBRA
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Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra

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