Surface terms and dual formulations of gauge theories

Journal Article · Fri Apr 15 04:00:00 EST 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.27.1922· OSTI ID:6077501

Mecklenburg, W; Mizrachi, L

Previously proposed duality transformations for a pure non-Abelian gauge theory are carried out for a Yang-Mills theory with nonvanishing theta parameter. We argue that the theory is no longer self-dual even in the weak-coupling limit, as there is a surface term generated by the duality transformation. This surface term has nonzero Pontryagin index, hence it gets contributions from instanton-type configurations only. However, it does vanish for monopoles and vortices, therefore for this set of configurations self-duality is maintained in the weak-coupling region.

• Research Organization: International Centre for Theoretical Physics, Trieste, Italy and Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy
• OSTI ID: 6077501
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 27:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COUPLING CONSTANTS
DUALITY
FIELD THEORIES
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MATHEMATICAL MODELS
NUCLEAR MODELS
QUANTUM FIELD THEORY
QUASI PARTICLES
WEAK-COUPLING MODEL
YANG-MILLS THEORY