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We discuss a phase diagram for a relativistic SU(2) x U_{S}(1) lattice gaugetheory, with emphasis on the formation of a parity-invariant chiral condensate,in the case when the $U_{S}(1)$ field is infinitely coupled, and the SU(2)field is moved away from infinite coupling by means of a strong-couplingexpansion. We provide analytical arguments on the existence of (and partiallyderive) a critical line in coupling space, separating the phase of broken SU(2)symmetry from that where the symmetry is unbroken. We review uncoventional(Kosterlitz-Thouless type) superconducting properties of the model, uponcoupling it to external electromagnetic potentials. We discuss the r\^ole ofinstantons of the unbroken subgroup U(1) of SU(2), in eventually destroyingsuperconductivity under certain circumstances. The model may have applicationsto the theory of high-temperature superconductivity. In particular, we arguethat in the regime of the couplings leading to the broken SU(2) phase, themodel may provide an explanation on the appearance of a pseudo-gap phase, lyingbetween the antiferromagnetic and the superconducting phases. In such a phase,a fermion mass gap appears in the theory, but there is no phase coherence, dueto the Kosterlitz-Thouless mode of symmetry breaking. The absence ofsuperconductivity in this phase is attributed to non-perturbative effects(instantons) of the subgroup U(1) of SU(2).Comment: 51 pages latex, 10 figures incorporate

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Phase structure of lattice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mn /><mml:mo>⊗</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn /><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>three-dimensional gauge theory

Phase structure of latticeSU(2)⊗US(1)three-dimensional gauge theory