ABELIAN DOUBLE-GAUGE-INVARIANT CONTINUOUS QUANTUM-FIELD THEORY OF ELECTRIC CHARGE CONFINEMENT

We present a simple continuum field theory in the continuum which imitates the confinement mechanism of the standard U(1) lattice gauge model by forming strings between opposite electric charges in a condensate of Dirac monopoles. The monopoles are described by a gauge field F(munu)M which under suing deformation changes locally by partial derivative(mu)LAMBDA(nu)M - partial derivative(nu)LAMBDAmuM without changing physical observables. These gauge fields are transformed into a Higgs field which gives rise to flux tubes of electric field lines. The theory explains the phenomenon observed in many Monte Carlo simulations, also of nonabelian lattice gauge models, that the thermal deconfinement transition apparently restores at the same time also the spontaneously broken chiral symmetry of pion physics.