Abstract
In this paper, we study the multicritical behavior of the Ginzburg–Landau model in a O ( n 1 ) ⊕ O ( n 2 ) -symmetric version containing ( n 1 / 2 + n 2 / 2 ) -complex order parameters coupled to a gauge field. We develop the RG analysis at a one-loop approximation in the context of the ϵ -expansion approach. The beta functions are obtained, and in the case of equal couplings between the two scalar fields and the gauge field and n 1 = n 2 = n / 2 , the infrared stability of the fixed points is discussed. It is found that the charged infrared-stable fixed point exists for n > 393.2 . Calculations of the relevant critical exponents are also carried out.
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