Duality transformations of Abelian and non-Abelian gauge fields

Journal Article · Mon Mar 15 04:00:00 EST 1976 · Phys. Rev., D, v. 13, no. 6, pp. 1592-1597

DOI:https://doi.org/10.1103/PhysRevD.13.1592· OSTI ID:4007593

Deser, S; Teitelboim, C

Duality transformations, i.e., rotations of electric and magnetic fields into each other, are implementable by a time-local generator for source-free Maxwell theory in an arbitrary spacetime metric. The Maxwell action $Integral$(E$sup 2$ - B$sup 2$) as well as the stress tensor components, e.g., E$sup 2$ + B$sup 2$, are duality invariant and the generator is conserved. In the formally analogous Yang--Mills case, duality transformations cannot even be consistently implemented. (AIP)

• Research Organization: Physics Department, Harvard University, Cambridge, Massachusetts 02138
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-032101
• OSTI ID: 4007593
• Journal Information: Phys. Rev., D, v. 13, no. 6, pp. 1592-1597, Journal Name: Phys. Rev., D, v. 13, no. 6, pp. 1592-1597; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*MAXWELL EQUATIONS-- DUALITY
*YANG-MILLS THEORY-- DUALITY
641300*
ELECTRIC FIELDS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MAGNETIC FIELDS
N76200* --Physics (Theoretical)--Quantum Field Theories
ROTATION