Hidden symmetry in Yang-Mills theory: A path-dependent gauge transformation

Journal Article · Mon Dec 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.3104· OSTI ID:6755064

Dolan, L

The search for new additional symmetry in Yang-Mills theory is described. A reparametrization-invariant path-dependent Lagrangian is given whose fundamental variables are the functional fields psi(xi)=P exp (contour-integralAxdxi). The Lagrangian is used to construct path-dependent Noether currents corresponding to translations, SO(4) rotations, and scale transformations on the path xi/sub ..mu../. An internal-symmetry current is interpreted to signal the existence of an infinitesimal functional field transformation psi..-->..psi+..delta..psi, where ..delta..psi is a certain specific path-dependent gauge transformation. A second new hidden-symmetry current is derived explicitly. Also discussed is the gauge-invariant formulation of scalar electrodynamics. It is a functional field theory in which space-time transformations on the path-dependent fields give rise to internal-symmetry Noether currents of the local variables in contrast to Yang-Mills theory.

• Research Organization: The Rockefeller University, New York, New York 10021
• OSTI ID: 6755064
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
EUCLIDEAN SPACE
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL SPACE
RIEMANN SPACE
SCALAR FIELDS
SO GROUPS
SO-4 GROUPS
SPACE
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS
YANG-MILLS THEORY