Noether's therorem for local gauge transformations

Technical Report · Mon May 22 00:00:00 EDT 1989

DOI:https://doi.org/10.2172/6129984· OSTI ID:6129984

Karatas, D L; Kowalski, K L

The variational methods of classical field theory may be applied to any theory with an action which is invariant under local gauge transformations. What is the significance of the resulting Noether current. This paper examines such currents for both Abelian and non-Abelian gauge theories and provides an explanation for their form and limited range of physical significance on a level accessible to those with a basic knowledge of classical field theory. Several of the more subtle aspects encountered in the application of the residual local gauge symmetry found by Becchi, Rouet, Stora, and Tyutin are also considered in detail in a self-contained manner. 23 refs.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6129984
• Report Number(s): ANL-HEP-PR-87-54; ON: DE89013674
• Resource Relation: Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
VARIATIONAL METHODS
ACTION INTEGRAL
CURRENT DENSITY
EQUATIONS OF MOTION
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INTEGRALS
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
645400* - High Energy Physics- Field Theory