Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

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

Journal Article · · Physical Review. D, Particles Fields
 [1]
  1. Univ. of Pittsburgh, PA (United States)
+ Show Author Affiliations

In a class of Lagrangian field theories for Dirac spin-½ particles, the Bogoliubov-Parasiuk-Hepp renormalization scheme provides a proof of the operator forms of Euler-Lagrange equations of motion, Noether's theorem, and Ward-Takahashi identities. Further, time-ordered products for some derivatives of Dirac fields can only be defined with special care in terms of Feynman graphs. Current-algebra Ward-Takahashi identities are obtained if $$\mathscr{L}$$derivative is invariant under the algebra; however, Schwinger terms are absent from these identities.

Research Organization:
Univ. of Pittsburgh, PA (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-26-032218
OSTI ID:
4646349
Report Number(s):
NYO--3829-89
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

References (11)

Convergence of Bogoliubov's method of renormalization in momentum space journal September 1969
The power counting theorem for Minkowski metric journal March 1968
Proof of the Bogoliubov-Parasiuk theorem on renormalization journal December 1966
Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder journal January 1957
A general treatment of expanding systems journal December 1957
Zur Vertexfunktion in quantisierten Feldtheorien journal September 1955
Normal-Product Quantization of Currents in Lagrangian Field Theory journal October 1971
Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra journal October 1972
Field Theory Commutators journal September 1959
The symmetry group of vector and axial vector currents journal July 1964
Charges and Generators of Symmetry Transformations in Quantum Field Theory journal October 1970

Similar Records

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 · OSTI ID:4670109
Current algebras and generalized Ward-Takahashi identities
Journal Article · Wed Oct 09 00:00:00 EDT 2002 · Physics Letters · OSTI ID:4527464
Gauge invariance and the nonrelativistic Ward-Takahashi identity
Journal Article · Mon Nov 30 23:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States) · OSTI ID:7029670

Related Subjects

Algebra
CURRENT ALGEBRA
EQUATIONS
FERMIONS
Fermions
LAGRANGIAN FIELD THEORY
Lagrangian Theory
MOTION
PERTURBATION THEORY
Perturbation Theory
QUANTUM FIELD THEORY
Quantum Field Theory
SPIN
Theoretical Physics
WARD IDENTITY