Dual transformation in Abelian gauge theories

Journal Article · Thu Mar 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.1820· OSTI ID:6176092

Sugamoto, A

The dual transformation discovered in the two-dimensional Ising and planar Heisenberg models is applied to gauge theories in four dimensions. It is shown that after the dual transformation the Abelian Higgs model gives the same partition function as the relativistic hydrodynamics of Kalb and Ramond and of Nambu coupled to the Higgs scalar, and that these two theories have various dual relations. In our hydrodynamics a quantized vortex is created by the phase component of the Higgs scalar in a similar manner as the magnetic string of Nielsen and Olesen is created in the Abelian Higgs model.

• Research Organization: Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188, Japan
• OSTI ID: 6176092
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
DUALITY
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FOURIER TRANSFORMATION
FUNCTIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
HEISENBERG MODEL
HIGGS MODEL
HYDRODYNAMIC MODEL
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
ISING MODEL
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
PARTICLE MODELS
PARTITION FUNCTIONS
RELATIVITY THEORY
SCALAR FIELDS
STATISTICAL MODELS
TENSOR FORCES
THERMODYNAMIC MODEL
TRANSFORMATIONS