Adiabatic Limit for Some Nonlinear Equations of Gauge Field Theory
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We consider the adiabatic limit for nonlinear dynamic equations of gauge field theory. Our main example of such equations is given by the Abelian (2+1)-dimensional Higgs model. We show next that the Taubes correspondence, which assigns pseudoholomorphic curves to solutions of Seiberg--Witten equations on symplectic 4-manifolds, may be interpreted as a complex analogue of the adiabatic limit construction in the (2+1)-dimensional case.
KeywordsField Theory Nonlinear Equation Dynamic Equation Dimensional Case Gauge Field
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