Abstract
We study phase transitions in uniformly frustrated SU$(N)$-symmetric $(2+\ensuremath{\epsilon})$-dimensional lattice models describing type-II superconductors near the upper critical magnetic field ${H}_{c2}(T).$ The low-temperature renormalizatoion-group approach is employed for calculating the beta function $\ensuremath{\beta}(T,f)$ with f an arbitrary rational magnetic frustration. The phase-boundary line ${H}_{c2}(T)$ is the ultraviolet-stable fixed point found from the equation $\ensuremath{\beta}(T,f)=0,$ the corresponding critical exponents being identical to those of the nonfrustrated continuum system. The critical properties of the SU$(N)$-symmetric complex Ginzburg-Landau model are then examined in $(4+\ensuremath{\epsilon})$ dimensions. The possibility of a continuous phase transition into the mixed state in such a model is suggested.
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