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Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model
Author(s) -
Y. Koma,
Miho Koma,
E.-M. Ilgenfritz,
Tsuneo Suzuki,
M. I. Polikarpov
Publication year - 2003
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.68.094018
Subject(s) - physics , abelian group , duality (order theory) , gauge theory , flux tube , quantum electrodynamics , higgs boson , lattice gauge theory , hamiltonian lattice gauge theory , magnetic flux , mathematical physics , particle physics , quantum mechanics , magnetic field , mathematics , pure mathematics
The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube solution of the U(1) dual Abelian Higgs model is clarified in terms of the path-integral duality transformation. This connection suggests that the electric photon and the magnetic monopole parts of the Abelian Wilson loop can act as separate sources creating the Coulombic and the solenoidal electric field inside a flux tube. The conjecture is confirmed by a lattice simulation which shows that the AP flux tube is composed of these two contributions. ©2003 The American Physical Society

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