Duality transformation of a spontaneously broken gauge theory

Journal Article · Thu Apr 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.2121· OSTI ID:5495173

Mizrachi, L

A duality transformation for a spontaneously broken gauge theory is constructed in the Cronstroem-Dubovikov-Smilga gauge (x/sub ..mu../A/sup a//sub ..mu../(x)) = 0. The dual theory is expressed in terms of dual potentials which satisfy the same gauge condition, but with g..-->..1/g. Generally the theory is not self-dual, but in the weak-coupling region (small g) self-duality is found for the subgroup which is not spontaneously broken or in regions where monopoles and vortices are concentrated (in agreement with 't Hooft's ideas that monopoles and vortices in the Georgi-Glashow model make it self-dual). In the strong-coupling regime a systematic strong-coupling expansion can be written. For this region the dual theory is generally not local gauge invariant, but it is invariant under global gauge transformations.

• Research Organization: International Centre for Theoretical Physics, Trieste, Italy
• OSTI ID: 5495173
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106 -- Astrophysics & Cosmology-- Cosmology
645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
GRAVITATIONAL INTERACTIONS
INTERACTIONS
LEPTONS
MASSLESS PARTICLES
METRICS
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
SCHWARZSCHILD RADIUS
SPACE-TIME
WAVE EQUATIONS
WKB APPROXIMATION